Find the measure of the three missing angles in the parallelogram below.

Answer:

The heaviest piece of chocolate weighed 2.94 ounces.

Step-by-step explanation:

Answer:-3p

Step-by-step explanation: less = subtract -3+p=-3p

Answer: 10 / 5 = 2

Step-by-step explanation:

The total number of cars that will fit in the spaces at school is less than or equal to 155, which means that the combined number of parking spaces in the parking lot and on the side of the building cannot exceed 155.

What is expression ?

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that represents a quantity or a relationship between quantities. Expressions can be as simple as a single number or variable, or they can be complex, involving multiple variables and operations.

Let x be the number of parking spaces in each row of the school parking lot. Then, the total number of parking spaces in the parking lot is 6x.

The total number of parking spaces in the school is the sum of parking spaces in the parking lot and parking spaces on the side of the building, which is 6x + 35.

Since the total number of cars that will fit in the spaces at school is at most 155, we can write the inequality:

6x + 35 ≤ 155

Simplifying this inequality, we get:

6x ≤ 120

x ≤ 20

Therefore, the total number of cars that will fit in the spaces at school is less than or equal to 155, which means that the combined number of parking spaces in the parking lot and on the side of the building cannot exceed 155.

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The inequality 2d+20<=120 is a valid inequality. It means that some value of d can be substituted into the inequality to make it a true statement.

In mathematics, an inequality is a statement that compares two values and indicates how they are related in terms of magnitude or size. Inequalities use symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to show the relationship between the two values.

In the given question,

Yes, the inequality 2d+20<=120 is a valid inequality. It means that some value of d can be substituted into the inequality to make it a true statement.

In this case, the inequality is saying that 2 times the value of d plus 20 is less than or equal to 120. To solve for d, we can subtract 20 from both sides to get:

2d <= 100

Then, we can divide both sides by 2 to isolate d:

d <= 50

So the solution to the inequality is that d must be less than or equal to 50 for the inequality to be true.

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Answer:

I’m pretty sure 3

Step-by-step explanation:

Answer:

D. I, II, III

Step-by-step explanation:

Social security is the only plan managed by the government

The theorem that justifies the similarity of the two triangles is given as follows:

A: AA.

The Angle-Angle (AA) Congruence Theorem states that if two pairs of corresponding angles are congruent, then the triangles are similar.

In other words, if two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle must also be equal in measure, and the two triangles are therefore congruent.

The two pairs of corresponding angles that are congruent in this problem are given as follows:

Hence the third angle will also have the same measure for both triangles.

Hence the AA theorem can be used and the correct option is given by option A.

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The square root of 45 lies between the two whole numbers 36 and 49.

Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented in various forms, such as a numeral, a word, or an image. Numbers can be used to represent any quantity, such as a person's age, a distance, a temperature, or a length. They can also be used to represent abstract or intangible concepts, such as a feeling or a thought.

To determine this, we can use a process called the square root algorithm. The first step is to find the largest perfect square that is less than the number you are taking the square root of. In this case, that would be 36. Then, you subtract that perfect square from your number. In this case, you would subtract 36 from 45, leaving you with 9. The next step is to find the two whole numbers that the square root of this difference lies between. Since 9 is the square root of 81, the two numbers that the square root of 9 lies between are 3 and 4. Therefore, the square root of 45 lies between the two whole numbers 36 and 49.

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One hot wing costs 60 cents at this restaurant.

A variable in an equation that has to be solved for is known as an unknown.

A polynomial or formal power series may contain an indeterminate symbol, often known as a variable. In the polynomial ring or the ring of formal power series, an indeterminate is a constant rather than a variable. Nonetheless, many writers view indeterminates as a distinct class of variables because of the close connection between polynomials or power series and the functions that they describe.

Let's us assume that the cost of one hot wing is x dollars.

Then,

Total amount spent by each customer:

8x + 4 = 10x + 2.8

8x - 10x = 2.8 - 4

-2x = -1.2

x = 0.6

Therefore, one hot wing costs 60 cents at this restaurant.

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Explanation:

The front and back faces are triangles. They have a base of 10 ft and height of 4 ft.

The front face has area 20 sq ft. The same applies for the back face as well.

Now imagine rotating the prism so that the front face is now laying on the floor. The floor and ceiling are triangles. Each wall is a rectangle.

Answer: 110 ft^3

Step-by-step explanation:

Base is 10ft

Height is 4ft (distance from base to uppermost point)

0.5*10*4=20

20*5.5 (length)=110

When the radius is 4 inches, the circle's circumference measures roughly 25.1 inches.

No matter what size circle you drew, you will obtain roughly 3.14 when you divide the circumference by the diameter. The ratio will never change even though a larger circle will have a higher radius and circumference. Circumference to diameter ratio (C/d) is always constant at. As a result, the diameter (D) and circumference (C) are always approximately 3.14 times each other (d).

C = 2r is the formula for calculating a circle's circumference.

C = 2π(4)

C = 8π

Using the approximation of π = 3.14, we can evaluate this expression:

C ≈ 8(3.14)

C ≈ 25.12

Rounding this answer to the nearest tenth gives:

C ≈ 25.1 inches.

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Answer:

$0.06/yrd

Step-by-step explanation:

you want to divide the cost by the amount of units purchased.

.30/5=.06

this would mean your price per unit is 6 cents

27-2=25

25:5=5

4(5)+2=20+2=22

the shorter piece = 5

the longer piece = 22

Because of the isosceles triangle.

The triangle whose two sides are equal length is called an isosceles triangle. The third side, known as the base, may or may not be a different length from the other two sides. An isosceles triangle also has two angles that are equal in measure, which are opposite the two equal sides.

Given that in ΔMQN: MQ=MN,

therefore, ∠MQP=60°=∠MNO (isosceles triangle )

also given in ΔMPO: MP=MO,

therefore, ∠MPO=80°=∠MOP (isosceles triangle )

For the straight line PON,

∠POM + ∠MON = 180° (straight line angle)

80° + ∠MON = 180°

∠MON = 100°

In ΔNMO,

∠NMO +∠MON + ∠MNO = 180° ()

∠NMO + 100° + 60° = 180°

∠NMO = 20°

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A solution to the given system of linear equations is (2, 6).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x - y = 0     ......equation 1.

5x + 2y = 7  ......equation 2.

In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (1, 1).

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Answer: -17a^4

Step-by-step explanation:

Combine like terms

12a^4 +(-29a^4)

(12a^4-12a^4) - (29a^4-12a^4) =

-17a^4

Hope this helps

Answer:im confused

Step-by-step explanation:

Random condition:

✔ met

10% condition:

✔ not met

Large counts condition:

✔ not met

Are the conditions for inference met?

✔ no

Answer:

below

Step-by-step explanation:

Given cos, you will have to use this to calculate sin because csc is  1/ sin

Remember    cos^2 + sin^2 = 1

                        (2/5)^2 + sin^2 = 1

                                  sin^2 = 21/25  

                                    sin = sqrt (21) / 5     (ignoring negative root)

csc = 1/sin = 5 / sqrt(21)

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer:

Step-by-step explanation:

Let's call the number of gallons of gas consumed by the first car "x" and the number of gallons of gas consumed by the second car "y". We can set up a system of two equations to represent the information given in the problem:

x + y = 45 (equation 1: total gas consumption is 45 gallons)

35x + 25y = 1375 (equation 2: total distance traveled is 1375 miles)

To solve for x and y, we can use the first equation to solve for one variable in terms of the other. For example, we can solve for y as:

y = 45 - x

We can then substitute this expression for y into the second equation, and simplify:

35x + 25(45 - x) = 1375

35x + 1125 - 25x = 1375

10x = 250

x = 25

So the first car consumed 25 gallons of gas that week. We can substitute this value into equation 1 to find the number of gallons consumed by the second car:

25 + y = 45

y = 20

Therefore, the second car consumed 20 gallons of gas that week.

Answer:

1 term (monomial).

Step-by-step explanation:

A term includes at least either a number, a variable, or both together, and can have more than one.

In this case, there is 1 term, which denotes that a variable, has an exponent of 9.

[tex]b^9[/tex] is one term.

Examples of more than 1 term can include:

[tex]b^9 + 1[/tex] , which is two terms (Binomial).

[tex]a^2 + b + 3[/tex] is three terms (Trinomial).

* One thing to note is to always simplify when possible.

~

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Answer:

The researcher used a ratio scale of measurement for the number of people using their cell phone.

Mean: (3+4+4+5+6+8)/6 = 30/6 = 5

Median: arrange the data in ascending order: 3, 4, 4, 5, 6, 8. The median is the middle value which is 5.

Mode: there is no mode as no value occurs more than once.

Range: 8-3 = 5

Variance:

s^2 = Σ(x-ȳ)^2 / (n-1)

s^2 = [(3-5)^2 + (4-5)^2 + (4-5)^2 + (5-5)^2 + (6-5)^2 + (8-5)^2] / (6-1)

s^2 = 5.6

Standard deviation: s = sqrt(s^2) = sqrt(5.6) ≈ 2.37

To find the number of people using their cell phone associated with +1 SD, we add one standard deviation to the mean:

Mean + 1 SD = 5 + 2.37 ≈ 7.37

Therefore, approximately 7 people using their cell phone are associated with +1 SD.

To find the number of people using their cell phone that reflects 96% of the sample, we need to find the z-score that corresponds to the 96th percentile. From a standard normal distribution table, we find that the z-score is approximately 1.75. We can use this z-score to find the corresponding value in our data set using the formula:

z = (x - ȳ) / s

Rearranging, we get:

x = z * s + ȳ

x = 1.75 * 2.37 + 5

x ≈ 9.3

Therefore, approximately 9 people using their cell phone reflect 96% of the sample.

Step-by-step explanation:

The minimum clearance required for safety of fitting 95% of men is approximately 18.7 inches.

What is percentage ?

Percentage is a way of expressing a proportion or a ratio as a fraction of 100. It is often represented by the symbol % and is used to compare values, make comparisons, and analyze data. For example, if there are 25 red marbles and 75 green marbles in a jar, the percentage of red marbles is 25% (25/100), while the percentage of green marbles is 75% (75/100). Percentages are commonly used in many fields, including finance, business, statistics, and science.

To determine the minimum clearance required for safety of fitting 95% of men, we need to find the value of the sitting knee height at the 95th percentile for men.

Using the formula for a normal distribution, we can calculate that the sitting knee height at the 95th percentile for men is approximately 23.2 inches.

Therefore, the minimum clearance required for safety of fitting 95% of men would be the difference between the sitting knee height at the 95th percentile for men (23.2 inches) and the height of the work table.

Therefore, the minimum clearance required for safety of fitting 95% of men is approximately 18.7 inches.

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Answer:

200.904

Step-by-step explanation:

200904 is the same as 200904.0

On dividing by 1000, the point moves three steps to the left, 20090.4 , 2009.04 then finally 200.904.

Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.

Trigonometric ratios are ratios of the sides of a right triangle to its angles. The three primary trigonometric ratios are

Sine = opposite/hypotenuse.

Cosine = adjacent/hypotenuse.

Tangent = opposite/adjacent.  

Here we have

Archimedes wanted to get up at 7. AM, but the alarm clock was yet to be invented. Archimedes knew that at 7.AM, the sunlight reaches the ground at an angle of 31°.

The rock beside which he slept was 5.55 meters tall.

Let's assume that the distance from the rock where Archimedes went to sleep is "x".  

Form a right triangle where the height of the triangle is the height of the rock (5.55 meters) and the angle between the ground and the sunlight at 7 AM is 31° and the opposite side to that angle is x.

Using trigonometry, we can solve for x as follows

tan(31°) = 5.55 / x

x = 5.55 / tan(31°)

x = 5.55/0.60086

x = 9.24 meters    

Therefore,

Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.

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Answer: We can start by evaluating g(2):

g(2) = 2 + 9 = 11

Now we can use the definition of function composition to evaluate (f ∙ g)(2):

(f ∙ g)(2) = f(g(2)) = f(11)

To find f(11), we need to substitute 11 for x in the expression for f(x):

f(11) = (11 - 3)^2 + 1 = 8^2 + 1 = 65

Therefore, (f ∙ g)(2) = f(g(2)) = f(11) = 65.

Step-by-step explanation:

Answer:

Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.

Step-by-step explanation:

To find Cindy's time, we need to use the information given about the total time and the times of the other three runners.

Let's first convert all the times to fractions of a minute:

Barbara: 3 3/10 = 3 + 3/10 = 3.3 minutes

Donna: 2 4/5 = 2 + 4/5 = 2.8 minutes

Cindy: x minutes

Nicole: 2 1/10 = 2 + 1/10 = 2.1 minutes

Now, we can set up an equation to represent the total time of the team:

Barbara's time + Donna's time + Cindy's time + Nicole's time = 11 3/5 minutes

Substituting the values we know:

3.3 + 2.8 + x + 2.1 = 11 3/5

Simplifying and converting mixed numbers to fractions:

8/5 + 14/5 + x + 11/5 = 116/10 + 3/5

Multiplying both sides by 10 to eliminate the denominators:

16 + 28 + 10x + 22 = 116 + 6

Simplifying:

10x = 54

Dividing by 10:

x = 5.4

Therefore, Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.