Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.

Quadrilateral ABCD Is Inscribed In This Circle.What Is The Measure Of Angle C?Enter Your Answer In The

Answers

Answer 1

Value of angle C in the cyclic quadrilateral is 62°

Define cyclic quadrilateral

A cyclic quadrilateral is a quadrilateral that can be circumscribed by a circle such that all four vertices of the quadrilateral lie on the circle.

Some properties of cyclic quadrilaterals include:

The opposite angles are supplementary.The two opposite angles that are inside the circle are equal in measure.The two opposite angles that are outside the circle are also equal in measure.The sum of the measures of the two adjacent angles inside the circle is equal to the sum of the measures of the two adjacent angles outside the circle.

In the given diagram

∠B=3x°

∠D=x+20°

For cyclic quadrilateral opposite angle sum is 180°

∠B+∠D=180°

3x°+x°+20°=180°

4x+20=180°

x=160/4

x=40°

∠A+∠C=180°

C=180-2x+38

C=180-2*40-38

C=62°

Hence, Value of angle C in the cyclic quadrilateral is 62°

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Related Questions

find the median of 2,2,2,3,4,5,6,7,8,9​

Answers

Answer:

Median = 4.5

Step-by-step explanation:

4 and 5 are central numbers.

then:

(4+5)/2 = 4.5

Answer:

4.5

Step-by-step explanation:

if you add the two middle number 4+5=9

then i. you divide 9by2 you'll get the median

I need help with this.
thx

Answers

We can conclude after answering the provided question that In order to slope make at least $225.00 in sales, we must solve for m:

[tex]s = 75m + 1500 225 = 75m + 1500\s75m = -1275\sm = -17[/tex]

what is slope?

Slope is the downward movement of a near - constant basis in mathematics. It is a test of how much the y-value of an activity appears to vary when the x-value changes. The curve of a line is ordinarily indicated by the letter m and can be determined using the equation: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) are any 2 things on the line. A line's slope can be positive, negative, zero, or unknown. A positive slope indicates that the line moves up from left to right, whereas a decreasing trend indicates that the line descends from left to right.

a. Because the relationship between the two variables is proportional, the function that connects the sales (s) and the number of muffins (m) is a linear function. The slope of the line can be calculated by dividing the change in sales by the change in the number of muffins:

slope = (2400 - 1800) / (12 - 4) = 600 / 8 = 75

The equation line is as follows:

s = 75m + b

To find the y-intercept (b), we can substitute one of the data points:

[tex]1800 = 75(4) + b\sb = 1800 - 300\sb = 1500[/tex]

As a result, the function that connects sales and the number of muffins is:

s = 75m + 1500

b. In order to make at least $225.00 in sales, we must solve for m:

[tex]s = 75m + 1500 225 = 75m + 1500\s75m = -1275\sm = -17[/tex]

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ABCD is rhombous wi4h M(<ADC)=135 find m(<BAD) and m(<ADC)​

Answers

In the given figure of Rhombus, Angle ∠BAD is 0°. In summary: angle ∠ABC = 135°

angle ∠ADC = 135°

angle ∠BAD = 0°

What is rhombus?

A rhombus is a quadrilateral (four-sided) geometric shape with equal-length sides. Since it has two sets of opposite equal acute angles and opposite equal obtuse angles, it is also known as a diamond form. In other words, the opposite angles and the neighbouring sides of a rhombus are congruent. A rhombus has two equal-length diagonals that are right angles to one another. A rhombus's area is equal to the product of its diagonal lengths.

by the question.

In a rhombus, opposite angles are equal, so we know that:

angle ∠ABC = angle ∠ADC (opposite angles of rhombus)

angle ∠BCD = angle ∠BAD (opposite angles of rhombus)

We are given that angle ∠ADC is 135°. Therefore, angle ∠ABC is also 135°.

To find angle ∠BAD, we can use the fact that the angles of a quadrilateral sum to 360°. Since we know three of the angles (∠ABC, ∠BCD, and ∠ADC), we can find the fourth angle (∠BAD) by subtracting their sum from 360°:

∠BAD = 360° - (∠ABC + ∠BCD + ∠ADC)

= 360° - (135° + 90° + 135°)

= 360° - 360°

= 0°

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What is the volume of this sphere? responses 8π cm³ 8 pi, cm³ 16π cm³ 16 pi, cm³ 27π cm³ 27 pi, cm³ 36π cm³

Answers

The volume of a sphere with a radius of 3cm is 113.04 cm³, which is approximately equal to 36π cm³. So, the correct option is D).

The formula for calculating the volume of a sphere, V = 4/3πr³, is used to find the amount of space enclosed by a sphere with a given radius. In this case, the sphere has a radius of 3cm. By substituting this value into the formula, we can solve for the volume of the sphere.

V = 4/3πr³

V = 4/3 × 3.14 × 3³ = 113.04 cm³

= approximately 36π cm³

The result is 113.04 cm³, which is approximately equal to 36π cm³. This calculation is important in many applications, such as engineering, physics, and mathematics. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

What is the volume of sphere r = 3cm? responses A 8π cm³ 8 pi, cm³  B 16π cm³ 16 pi, cm³ C 27π cm³ 27 pi, cm³ D 36π cm³

what is the probability that the first white ball drawn in powerball will not be an 18? round your answer to 3 decimal places.

Answers

The probability that the first white ball drawn in powerball will not be an 18 is 0.985.

Concept used:

Probability of an event = number of favorable outcomes / total number of outcomes.

We have 69 balls, out of which 1 is an 18. Thus, there are 68 balls that are not 18.

Therefore, the probability of the first white ball drawn in powerball will not be an 18 is given by,

P(event)= number of favorable outcomes / total number of outcomes= 68/69 = 0.985 (approx)

Thus, the required probability that the first white ball drawn in powerball will not be an 18 is 0.985, rounded to three decimal places.

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Divide then show a model

Answers

answer: 12
To divide by a fraction make both numbers fractions in this case 4 can be 4/1
So it would now be
(4/1) / (1/3)
Then do keep, change, change
Keep (4/1)
Change the division to multiplication
And change (1/3) by find the reciprocal fraction (3/1)
^you flip the numerator and denominator
Then solve:
(4/1) x (3/1) = 4 x 3 = 12

Write a equation and solve.
A car moves 660 feet every 10 seconds. How far does it go if it moves for 10 sec, 20 sec, and 30 sec​

Answers

Answer: 10sec 660 feet, 20sec = 1320 feet, 30 sec = 1980 feet.

Step-by-step explanation:

It states that a car moves 660 feet in 10sec.

10sec = 660 feet

20sec: 660+660=1320f

30sec: 660+660+660=1980f

If f(x) = x3, what is the equation of the graphed function?
A. y = f(x − 3) − 2
B. y = f(x + 3) – 2
C. y = f(x + 2) − 3
D. y = f(x − 2) + 3

Answers

Answer:

B. y = f(x + 3) – 2

Step-by-step explanation:

We need move point (0,0) to point (-3,-2).

(-3,-2)=(a,b)

y=f(x-a)+b

y=f(x-(-3))-2

y=f(x+3)-2

Answer:

f(x) = (x+3)^3

I think this is the right answer...

How do I prove that the sum of exterior angles of any polygon is equal to 360 degrees?

Answers

To prove that the sum of the exterior angles of any polygon is equal to 360 degrees, the Sum of interior angles = (n - 2) x 180 degrees.

we can use the following steps:

Draw any polygon and mark a point outside the polygon for each vertex.

Draw a line segment connecting each vertex to the point outside the polygon that corresponds to it, creating an exterior angle at each vertex.

Measure each exterior angle using a protractor and record the measurements.

Sum all the exterior angles together and observe the result.

We can see that the sum of all the exterior angles is always equal to 360 degrees, regardless of the number of sides or the shape of the polygon. This can be written as:

The sum of exterior angles = 360 degrees

To prove this algebraically, we can use the fact that the sum of the interior angles of any polygon is given by the formula:

Sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides of the polygon. Each exterior angle is supplementary to the corresponding interior angle, so we can write:

The sum of exterior angles = Sum of interior angles (supplementary angles)

Substituting the formula for the sum of interior angles, we get:

Sum of exterior angles = (n - 2) x 180 degrees (supplementary angles)

= 180n - 360 degrees

= 360 degrees - 360 degrees + 180n

= 360 degrees - Sum of interior angles

= 360 degrees - (n - 2) x 180 degrees

= 360 degrees - 180n + 360 degrees

= 720 degrees - 180n

Since the sum of the exterior angles must be a positive value, we can take the absolute value and simplify:

|Sum of exterior angles| = |720 degrees - 180n|

= 180|4 - n|

Since n is always a positive integer greater than or equal to 3 (since a polygon must have at least three sides), we know that 4 - n is always a negative integer between -1 and -n+1. Therefore, |4 - n| is equal to n - 4. Substituting this into the equation above, we get:

|Sum of exterior angles| = 180|n - 4|

= 180(n - 4)

= 180n - 720 degrees

= 360 degrees - 360 degrees + 180n - 720 degrees

= 360 degrees - Sum of interior angles

Therefore, we have shown that the sum of the exterior angles of any polygon is equal to 360 degrees.

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Ms. Kent measures the perimeter of a common shape. One of the sides is 7 centimeters, and the perimeter is
21 centimeters. If all of the sides are the same length, what shape does Ms. Kent measure? Explain.

Answers

Answer:

Step-by-step explanation:

If the perimeter of a shape is 21 centimeters and one side is 7 centimeters, then we can find the total number of sides by dividing the perimeter by the length of one side:

Number of sides = Perimeter / Length of one side

Number of sides = 21 cm / 7 cm

Number of sides = 3

This means that the shape has 3 sides, which makes it a triangle.

Since all sides of the triangle have the same length, we can call it an equilateral triangle. In an equilateral triangle, all sides have the same length, and all angles are 60 degrees.

20 POINTS.

Solve 4x+2 = 12 for x using the change of base formula

−1. 442114

−0. 207519

2. 55789

3. 79248

Answers

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

The given equation is 4x+2 = 12.

To solve for x using the change of base formula, we need to isolate x on one side of the equation. We start subtracting 2 from LHS and RHS:

4x+2-2 = 12-2

4x = 10

Next, we use the change of base formula, which states log base a of b is equal to log base c of b divided by log base c of a. In this case, we want to find x, which is the exponent that 4 is raised to in order to get 10.

Rewrite equation:

x = log base 4 of 10

Use the change of base formula, we can present this as:

x = [tex]log base 10 of 10 / log base 10 of 4[/tex]

Simplifying:

x = 1.442114

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

In conclusion, using the change of base formula, the answer to the equation 4x+2 = 12 is roughly 1.442114. This method can be used to solve a variety of problems in the sciences, engineering, and financial sectors, as well as exponential and logarithmic equations.

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100 POINTS AND BRAINLIEST Please help solve at least 1 of these problems and show your work because I don’t know how to solve these

Answers

Step-by-step explanation:

Triangle a) is half of an equilateral triangle therefore the height divides the base into two equal parts, same thing for triangle b), triangle c) instead is half square, therefore congruent catheti.

a)

n = 6 : 2

n = 3

m = √(6²+3²)

m = √45

b)

x = 10 x 2 = 20

y = √(20²-10²)

y = √300

c)

a = √(5²+5²)

a = √50

the answers are in simple radical form as requested

I NEED HELP ON THIS ASAP!

Answers

Answer:

(-2,4) is quadrant 2, (8,4) is quadrant 1, (6,-2) is quadrant 4

Step-by-step explanation:

How to solve it and what the answer

Answers

Answer:

34.56 in

Step-by-step explanation:

2.4*2.4*6=34.56

g suppose an unknown radioactive substance produces 2800 counts per minute on a geiger counter at a certain time, and only 700 counts per minute 15 days later. assuming that the amount of radioactive substance is proportional to the number of counts per minute, determine the half-life of the radioactive substance. the radioactive substance has a half-life of days.

Answers

The half-life of the radioactive substance is 7.5 days. This means that, after 7.5 days, half of the radioactive atoms will have decayed and the count per minute will be reduced by half



The half-life of a radioactive substance is the amount of time it takes for half of its radioactive atoms to decay. In this case, you are given the initial count per minute of 2800 and the count per minute after 15 days of 700. We can use this information to calculate the half-life of the radioactive substance. First, divide the initial count per minute (2800) by two. This gives us the count per minute that we need to find, which is 1400.

We then subtract the count per minute after 15 days (700) from the count per minute we need to find (1400). This gives us the difference in count per minute, which is 700. Now, we need to determine how much time it would take for the count per minute to decrease by 700. To do this, we divide the difference in count per minute (700) by the initial count per minute (2800). This gives us a decimal, which we then multiply by the number of days (15). The result is the half-life of the radioactive substance in days, which is 7.5 days.



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A vehicle purchased for $ 29800depreciates at a constant rate of 9% per year. Determine the approximate value of the vehicle 15 years after purchase.

Answers

Answer:

The value of the vehicle would be $7,242

Step-by-step explanation:

Given,

The original value of the vehicle, P = $29,800,

Rate of depreciation, r = 9% = 0.09

Time, t = 15 years,

Thus, the value of the car after 15 years,

[tex]A=P(1-r)^t[/tex]

[tex]=29800(1-0.09)^{15}[/tex]

[tex]=29800(0.91)^{15}[/tex]

[tex]=7241.64363066[/tex]

[tex]\thickapprox \bold{\$ 7,242}[/tex]

On three of the first four math tests, Daniel earned the following scores: 84, 92 and 88. If Daniel’s
average for all four tests is 87.5, what score did Daniel earn on his fourth test?

Answers

Answer: 86

Step-by-step explanation:

let x be the unknown

(84+92+88+ x)

-----------------------   =  87.5

          4

then cross multiply

(84+92+88+ x )= 87.5 times 4

84+ 92+ 88 + x= 350

add the left side

264+ x=350

subtract 264 from both sides

264 - 264 + x= 350 - 264

therefore x= 86.

If the cost is depreciated at the rate of 4% per annum, the cost of motorcycle after 3 years becomes Rs 110592, find the original price of the motorcycle.​

Answers

After answering the presented question, we can conclude that equation Therefore, the original price of the motorcycle is Rs 125700.

What is equation?

In mathematics, an equation is a proposition that states the equivalence of two expressions. An equation consists of two sides separated by a system of equations (=). For instance, the statement "2x + 3 = 9" states that the word "2x Plus 3" equals the integer "9". The goal of solving equations is to find the value or amounts of the variable in the model) that will permit the calculation to be accurate. Mathematics can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the power of 2. Lines are used in many areas of mathematics, including algebra, arithmetic, and geometry.

Let the original price of the motorcycle be P.

Depreciation per year = 4% of P = 0.04P

Cost of motorcycle after 3 years = P - 3(0.04P) = P - 0.12P = 0.88P

[tex]0.88P = Rs 110592\\P = Rs (110592/0.88)\\P = Rs 125700[/tex]

Therefore, the original price of the motorcycle is Rs 125700.

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The school is located at (0, 0) on a coordinate plane. Mary lives 2 miles north of the school. Her classmate Roger lives 3 miles west of the school. What is the
distance between Mary's and Roger's houses? Round your answer to the nearest tenth of a mile.

Answers

Answer:

Step-by-step explanation:

that would be 5 miles bc 3+2 is 5

The distance between Mary's and Roger's houses is approximately 3.6 miles.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

We can use the Pythagorean theorem to find the distance between Mary's and Roger's houses since they form a right triangle with the school at the vertex:

Let A be the school (0, 0), B be Mary's house (0, 2), and C be Roger's house (-3, 0).

Then the length of AB is 2 miles and the length of AC is 3 miles.

The distance between Mary's and Roger's houses is the length of the hypotenuse BC.

Using the Pythagorean theorem, we have[tex]BC^2 = AB^2 + AC^2 = 2^2 + 3^2 = 13.[/tex]

Taking the square root of both sides, we get[tex]BC = \sqrt{(13)} = 3.6[/tex] miles.

Therefore, Between Mary and Roger's homes, there are roughly 3.6 miles.

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10 Points
What is 9 < 3 x = 8

Answers

The equation has no solution that satisfies the inequality.

How to explain the Inequality

This equation doesn't have a unique solution because it's contradictory. It should be noted that to see why, we can simplify the equation by subtracting 9 from both sides:

3x = 18 - 9

which simplifies to:

3x = 9

Now we can solve for x by dividing both sides by 3:

x = 3

However, if we substitute x = 3 back into the original equation, we get:

9 < 3(3) = 9

This isn't true. Therefore, the equation has no solution that satisfies the inequality.

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9e^2 f=49 solve for e

Answers

For given expression e will be 7/3.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be evaluated to produce a single value.

Expressions can be simple or complex, and they can involve arithmetic operations such as addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, logarithms, and trigonometric functions.

Now,

We can solve for e by setting the given value of f equal to 49 and then solving for e.

f = 9e²

When f = 49, we have:

49 = 9e²

Dividing both sides by 9, we get:

49/9 = e²

Taking the square root of both sides, we get:

±√(49/9) = ±(7/3) = e

So the solutions for e are e = 7/3 or e = -7/3. However, since e is a measure of distance and cannot be negative, the only valid solution is e = 7/3.

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Correct Question:-

Function f=9e² ,  If f=49 then solve for e.

Match the example on the left with corresponding property on the right 1. x+y+z=z+y+x

Answers

Answer:

Commutative property of addition.

Step-by-step explanation:

The given expression is:

x + y + z = z + y + x

To match the example with the corresponding property, we need to simplify the expression using the commutative property of addition.

According to the commutative property of addition, the order of the terms in an addition expression does not affect its value. That is:

a + b = b + a

Using this property, we can rewrite the given expression as:

x + y + z = x + y + z

we see that both sides of the equation are identical. This means that the expression is true, regardless of the values of x, y, and z.

Therefore, the example "x + y + z = z + y + x" matches with the commutative property of addition.

Which of the following sets would have a graph with an open circle on 5 and a ray pointing left on the number line?

A.{x | x R, x < 5}
B.{x | x R, x > 5}
C.{x | x R, x ≤ 5}

Answers

The set A.{x | x R, x < 5} would have a graph with an open circle on 5 and a ray pointing left on the number line.

What exactly is a set?

In mathematics, a set is a collection of distinct objects or elements, which are considered as a single entity. The objects or elements in a set can be anything, such as numbers, letters, people, animals, or other things, depending on the context.

Now,

The set  A.{x | x R, x < 5}  would have a graph with an open circle on 5 and a ray pointing left on the number line.

This is because the symbol "<" means "less than," so the set A includes all real numbers less than 5. The open circle on 5 indicates that 5 is not included in the set, so the graph will have an open circle on 5. The ray pointing left indicates that the set extends infinitely to the left of 5.

In contrast, set B.{x | x R, x > 5} would have an open circle on 5 and a ray pointing to the right, since it includes all real numbers greater than 5. Set C.{x | x R, x ≤ 5} would have a closed circle on 5 and a ray pointing to the left, since it includes all real numbers less than or equal to 5.

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His is a question need answering

Answers

Answer:it’s wrong if so then 5 would’ve been in c’s place

Step-by-step explanation:

Select the equivalent expression

Answers

Answer:

Step-by-step explanation:

a recent flyer claimed that 2 out of every 9 trucks sold at a local dealership are manufactured by peterbilt. find a 95% confidence interval for those who shop at this dealership that will purchase a peterbilt truck. identify the correct population parameter.

Answers

The correct population parameter for shop at this dealership that will purchase a Peterbilt truck is p that is option C.

In statistics, a population parameter characterises an individual or population. A population parameter describes the distribution of all values within a group and is a fixed but unknowable property. The parameters used in other sorts of maths should not be confused with this. These are the parameters of a mathematical function that never change. An indicator of the population is not a statistic. This information only applies to a portion of a certain demographic. You can determine the genuine population value with the aid of a well-designed research.

Statistics and parameters share many similarities. Both express a characteristic of the group, such as the fact that 20% of M&Ms are red. Yet, the fundamental distinction is in who and what they are describing. The entire population is referred to by parameters. The part or sample that was examined in a study is referred to as the statistic.

You might count the quantity of red M&Ms in the aforementioned example's various packs. Your statistic will be provided by this. If your study was well-designed, the statistic you obtain should precisely reflect the population parameter.

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Complete question:

A recent flyer claimed that 2 out of every 9 trucks sold at a local dealership are manufactured by Peterbilt. Find a 95% confidence interval for those who shop at this dealership that will purchase a Peterbilt truck. Identify the correct population parameter.

μ

х

р

p^

[tex]\mu_1 - \mu_2[/tex]

Xi – X2

î

Pi – P2

help me with this please hurry

Answers

Answer: Its A

Ive took this test :3

The radius of a circle is 18 cm. Find its area in terms of π

Answers

Answer A = 324 π cm^2

Step by step

Your formula

A = π r^2

A = π (18) ^2

A = 324 π

The gas mileage m(x) (in mpg) for a certain vehicle can be approximated by m(x) = -0.026x^2 + 2.593x - 35.023, where x is the speed of the vehicle in mph. What is the maximum/mph.

Answers

Answer:

To find the maximum gas mileage, we need to find the vertex of the parabola representing the gas mileage function.

The x-coordinate of the vertex of a parabola in the form of y = ax^2 + bx + c is given by -b/2a.

In this case, the gas mileage function is m(x) = -0.026x^2 + 2.593x - 35.023, so a = -0.026 and b = 2.593.

The x-coordinate of the vertex is therefore:

x = -b/2a = -2.593/(2*(-0.026)) = 49.9 (rounded to one decimal place)

This means that the maximum gas mileage occurs at a speed of 49.9 mph.

To find the maximum gas mileage, we can substitute x = 49.9 into the gas mileage function:

m(49.9) = -0.026(49.9)^2 + 2.593(49.9) - 35.023 ≈ 36.1 mpg

Therefore, the maximum gas mileage is approximately 36.1 mpg.

Step-by-step explanation:

Help I dont know this but it has to be done Anyone help ?

Answers

Answer:

C- 80 degrees Celsius

Step-by-step explanation:

If you followed the formula by subtracting 176 by 32 you would get 144 multiplied by 5/9 = 80 degrees

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Situations such as those described in the excerpt were most directly addressed byProgressive Era reformsFirst World War economic productionNew Deal government programsGreat Society efforts to end poverty The article states:But winning races wasn't always her objective. Growing up inPuerto Rico, Coln dreamed of becoming the first femalePuerto Rican astronaut in space.Which is the closest synonym for the word objective?A. goalB. giftC. fearD. loss Whats your motivation for this study of church management system? I need help with one of my math problems. I need to simplify, not answer it20 divided by(4-(10-8) steve is trying to earn $300 in interest for a new guitar. he puts $2500 in an account that earns 2% interest yearly (simple interest). how long will it take to earn $300? 1. Which statement is true of the subject matter of both poems?A "Bird" is about the experience of growing up; "Ode to Teachers" isabout failure.B Both "Bird" and "Ode to Teachers" are about the experience ofgrowing up.C "Bird" is about someone who changes into a bird; "Ode toTeachers" is about someone who will never change.D "Bird" tells a true story; "Ode to Teachers" tells an imaginary story. 4.5 Draw a diagram representing the scenario and find the requested value. A man is standing 270 feet from the baseof a statue. If he man looks up at an angle of 34 degrees to see the top of the statue, how tall is the statue. Pleaseround to the nearest whole foot. how did the league of nations respond to the crisis in machuria (1931) and Abyssinia (1935) Select the correct answer from each drop-down menu.Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of AABC is 180.CReasonm21=m24 and m23 = m25m24+ m22+ m25= 180mz1+m22+ m/3 = 180StatementPoints A, B, and C form a triangle.givenLet DE be a line passing through B and parallel to AC. definition of parallel lines23 25 and 21 24angle addition and definition of a straight linesubstitution Qu elementos consideras que deben ser preservados y cuales deberan ser cambiados y por qu? Please help will mark as brainliest A. Write and answer the questions in Spanish in complete sentences.1.Cul pelcula te gusta?2.Cmo se llama uno de tus (one of your) amigos?3.Con quin(es) te gusta hablar?4.Cundo pasas tiempo con amigos?5.Adnde vas los fines de semana?6.Por qu te gustan o no te gustan las hamburquesas?7.Cuntos hermanos(siblings) tienes?8.Qu te gusta hacer en tu tiempo libre?B. Answer the questions inSpanish about how often you go to these places.Example: Vas al gimnasio?-> "Si, todos los das voy al gimnasio." / "Si, a veces voy al gimnasio." / "No, nunca voy al gimnasio "(Use the following frequency words: Nunca/ A veces/ Mucho (use after verb)/ Todos los dias/ Cada da/ Siempre/ Generalmente/ Los lunes, los martes, etc./ Los fines de semana)1. Vas al centro comercial?2. Vas a las montaas?3. Vas al caf?4. Vas a la playa?5. ;Vas al parque?6. Vas al cine?C. Completa cada frase con la palabra apropiadaComplete each phrase with the appropriate word:1. La esposa de mi tio es mi _.2. El padre de mi padre es mi _.3. El hijo de mi madrastra es mi _.4. Paco y Ana son mis tios sus hijos son mis _.5. El hermano de mi made es mi _.6. Los padres de mi padre son mis _.7. La hija de mi padrastro es mi _.8. El hermano de mi prima es mi _.D. Write the following vocab words 5 times each. Include the English translations next to the Spanish words:1. Las flores (flowers)2. Las luces (lights)3. Las decoraciones (decorations)4. Mayor (older)5. Menor (younger) How do some plants defend themselves against predators?Plants transpire and produce excess water to keep predators away.Plants grow roots deeper into the ground, making them harder to remove.Plants can have thorns on their stems or poison on their leaves.Smaller plants bend and grow toward taller plants and trees. khaled plants to go to the animal shelter to adopt a cat and then take it to the grooming shop. the shelter is located at (-3,-5) and the grooming shop is located at (5,-1). find the location of lhaled house if the distance from his house to the shelter and the distance from his house to the grooming shop has a ratio of 1:3 Describe the two senses in which the church is catholic long-term contracts: are preferable to vertical integration when it is not feasible to exchange hostages. are preferable to short-term contracts when there is a minimal need for cooperation. generally result in lower prices than competitive bidding. are a low-cost alternative to vertical integration when it is possible to build cooperative relationships with suppliers. achieve the same outcomes as vertical integration, but they incur higher bureaucratic costs. America and the Great DepressionHow was America affected by the Great Depression? Include information on Americas change in GDP, unemployment rates, national debt, and effects on its international trade (both import and export). When did America start to recover from the Great Depression, and what were the changes that brought about this recovery? Cite specific programs, laws, individuals, executive orders, and so on that were primarily responsible. QUESTION 1There are three errors in this citation. Make the corrections and write your response in the box below.Hughes, Langston. Salvation. 50 Essays: A Portable Anthology, edited by Samuel S. Cohen,Bedford/St. Martin's, 2020.For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). on april 25, foreman electric installs wiring in a new home for $3,500 on account. however, on april 27, foremans electrical work does not pass inspection, and foreman grants the customer an allowance of $600 because of the problem. the customer makes full payment of the balance owed, excluding the allowance, on april 30.Required:1. Record the credit sale on April 25.2. Record the sales allowance on April 27.3. Record the cash collection on April 30.4. Calculate net sales associated with these transactions. Convert to polar form y=4x^2 If the simple interest on 5000 dollars for 5 years is 2000 dollars the what is the interest rate