Find: ∠x ∠a ∠b Please help

Find: X A B Please Help

Answers

Answer 1

Answer:

a=90 degrees

b=90 degrees

x=22 degrees

Step-by-step explanation:

3x+22+(5x-18)=180

8x=176

x=22

Answer 2

Answer:

x = 22°, ∠a = 88°, ∠b = 92°.

Step-by-step explanation:

Angle b has the same measurement as the angle of 5x - 18, since the two angles are corresponding angles.

Angle a has the same measurement as the angle of 3x + 22, since the two angles are alternate interior angles.

Since angle a and the angle of 5x - 18 form a straight line, the two angles add up to be 180 degrees. Since angle a is the same as the angle of 3x + 22, we can substitute the angle for angle a.

(5x - 18) + (3x + 22) = 180

5x + 3x - 18 + 22 = 180

8x + 4 = 180

8x = 176

x = 22°.

3(22) + 22 = 66 + 22 = 88 degrees.

That means that ∠a = 88°.

5(22) - 18 = 110 - 18 = 92 degrees.

That means that ∠b = 92°.

Hope this helps!


Related Questions

what is the value of this expression when a = 2 and b = -3 ? a^3 - b^3 / 5

Answers

Answer:

13 2/5

Step-by-step explanation:

a = 2 and b = -3

so the question asks whats.... a^3 - b^3/5

First we plug in the values of a and b

(2)^3 - (-3)^3 /5

Now we solve the ones in paranthesis first

(2)^3 = 8 because 2×2×2 and

-(-3)^3 forget about the - outside the parenthesis so

(-3)^3 = (-27) because (-3)×(-3)×(-3)

now we put it back together

8 -(-27)/5

the two minus become plus so

8 + 27/5

Now we solve it like fractions

8 and 27/5

simplify

13 and 2/5

Hope that helps!

A gift package contains 6 wedges of cheese . If each wedges is 2/3 onuce what is the totel weight in pounds of cheese?

Answers

Answer:

4 ounces

Step-by-step explanation:

6x2/3= 4

URGENT!! A product of the rational expression?

Answers

Answer: A. 21/2x^2 + 4x

Explanation:

(3/x+2)(7/2x)
= 21/(x+2)(2x)
= 21/2x^2 + 4x

I need help with this !!

Answers

Answer:

A

Step-by-step explanation:

When subtracting 7 on the left of the equation, he also needs to subtract 7 from the right of the equation.

Step 2 should be:

⅓X +7 -7= 15 -7

What he is trying to do here by subtracting 7 is to move all the constants, that is numbers without any variables such as x, to one side of the equation.

⅓X= 8

X= 8 ×3

X= 24

volume= (can someone explain please, im not really understanding this)

Answers

Not the greatest picture; I think it's trying to be a house, an A frame with a rectangular base.

This is a prism with a side 3 equilateral triangle at the end and a length of 6.

The area of the triangle is

[tex]\Delta = \dfrac{\sqrt{3}}{4} s^2[/tex]

The volume is area times length,

[tex]V = L \Delta = \dfrac{\sqrt{3}}{4} s^2 L[/tex]

[tex]V = \dfrac{\sqrt{3}}{4} (3^2) 6 = \dfrac{27}{2} \sqrt{3}[/tex]

Answer: (27/2) √3

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool? Round your answer to the nearest hundredth.

Answers

Answer:

18.97 units  

Step-by-step explanation:

Assume that the pool looks like the diagram below.

The pool consists of two equal right triangles.

We know that AB = CD = 3.16.

1. Find the length of the pool

AD = BC,  and we can use Pythagoras' Theorem to calculate AD.

  AB² + AD² = BD²

 3.16² + AD² = 7.07²

9.986 + AD² = 48.98

             AD² = 48.98 - 9.986 = 40.00

             AD   = 6.324

2. Find the perimeter of the pool

P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97

Alex will need 18.97 units of tile to surround the pool.

Alex will need 13.42 units of tile to surround his pool.

A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).

How to find the boundary of the pool?

To find the units  of tiles that are needed to surround the pool ABCD with a single line of tiles  is equal to the perimeter of the rectangle

Perimeter of the rectangle = 2 length+2 width

In the figure, the width is given as 2.24 units and the diagonal is 5 units.

So we can find the length using the Pythagorean theorem, which is c²=a²+b².

Now, 5²=(2.24)²+b²

b=4.47 units

Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)

= 8.94 + 4.48

The perimeter of the rectangle = 13.42 units

Thus, Alex will need 13.42 units of tile to surround his pool.

To learn more about the perimeter of the rectangle visit:

https://brainly.com/question/15287805.

#SPJ5

11 Is what percent of 20?

Answers

Answer:

55%

Step-by-step explanation:

Because 11/20= 0.55

0.55=55%

In the figure below, YZA and YZX are right angles, XYZ and AYZ are congruent, and XZ = 10. What is the length of ?



A.
25

B.
20

C.
10

D.
5

Answers

Answer:

  C.  10

Step-by-step explanation:

The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.

(03.03)


The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).

Answers

Answer:

Your answer is -3.5 which lies between -4 and -3.

The point R is halfway between the integers on the number line below and represents the number -3.5 .

In a circle with a radius of 8ft an arc is intercepted by a central angle of 135 degrees. What is the length of the arc?

A: 6.28 ft
B: 9.42 ft
C: 18.84 ft
D: 28.26 ft

Answers

Greetings from Brasil...

We know that the entire length of a circle its:

C = 2πR

C = 2π8

C= 16π      circumference length

now rule of 3:

 length              º

  16π   ---------  360

     X   ---------  135

360X = 135 · 16π

X = 2160π/360

X = 6π or 18,84

The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored greater than 65

Answers

Answer:

50

Step-by-step explanation:

50 because of the 100 of 79 to 7

The container that hold the water for the football team is 1/5 full after pouring in 13 gallons of water, it is 7/10 full how many gallons can the container hold

Answers

Answer:

100% = 65 Gallons; 70% = 45.5 Gallons

Step-by-step explanation:

The important piece of information here is that 13 gallons of water makes the container 1/5 of the way full, aka 20%.  If the question is simply, how many gallons will it hold, then we multiply 13 by 5 to get 100% at 65 gallons.  To get the amount held at 7/10, or 70%, we simply multiply 65 with 7/10 to get 45.5 gallons.

Cheers.

A point P has coordinates (-5, 4). What are its new coordinates after reflecting
point Pover the y-axis?
A. (-5, -4)
B. (-5, 4)
C. (5, 4)
D. (5, -4)

Answers

Answer:

C(5, 4)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Answer:

(5, 4)

Step-by-step explanation:

when you reflect off the y-axis, you switch (x,y) to (-x,y)

So

(-5, 4) --> (5, 4)

Hope this helps,

Feel free to ask more questions if I need to explain more.

Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction 3c –3c

Answers

Answer:

its D. -3c

Step-by-step explanation:

just took the test

The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

The fraction we are given to work with is;

[(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)]

Simplifying the fraction equation by factorization gives:

[3c(2c + 1)/(-2(2c - 1))] ÷ [(2c + 1)/(2(2c - 1)]

Now, in division of fractions, we know that;

3/2 ÷ 1/5 is the same as; 3/2 × 5/1

Applying this same method to our question gives;

[3c(2c + 1)/(-2(2c - 1))] × [(2(2c - 1)/(2c + 1)]

2(2c - 1) is common and will cancel out to get; 3c(2c + 1)/(-1/(2c + 1))

2c + 1 is common and will cancel out to get;  -3c

Read more about simplification of fractions at;https://brainly.com/question/6109670

The sum of two numbers is 37 and the difference is 15 . What are the numbers?

Answers

the first number is 11 and the second one is 26

Answer:

this is the answer with the working

Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only. 1.P(z>1.38)= 2.P(1.233 −2.43)= 7.P(z>−2.43)=

Answers

Answer:

a)P [ z > 1,38 ] = 0,08379

b) P [ 1,233 < z < 2,43 ]  = 0,1012

c)  P [ z > -2,43 ]  = 0,99245

Step-by-step explanation:

a) P [ z > 1,38 ] = 1 -  P [ z < 1,38 ]

From z-table  P [ z < 1,38 ] = 0,91621

P [ z > 1,38 ] = 1 - 0,91621

P [ z > 1,38 ] = 0,08379

b)  P [ 1,233 - 2,43 ]  must be  P [ 1,233 < z < 2,43 ]

P [ 1,233 < z < 2,43 ]  = P [ z < 2,43 ] - P [ z > 1,233 ]

P [ z < 2,43 ]  = 0,99245

P [ z > 1,233 ] = 0,89125    ( approximated value  without interpolation)

Then

P [ 1,233 < z < 2,43 ]  = 0,99245 - 0,89125

P [ 1,233 < z < 2,43 ]  = 0,1012

c) P [ z > -2,43 ]

Fom z-table

P [ z > -2,43 ] = 1 - P [ z < -2,43 ]

P [ z > -2,43 ] = 1 - 0,00755

P [ z > -2,43 ]  = 0,99245

Fake question: Should Wishing be a moderator? (If you could answer I'd appreciate it haha.)
Real question: Simplify [tex](z^3*z^2)-(y^4*y)[/tex]

Answers

Step-by-step explanation:

(z³*z²)-(y^4 *y) z^5 - y^5

Answer:

[tex]z^5-y^5[/tex]

Step-by-step explanation:

=> [tex](z^3*z^2)-(y^4*y)[/tex]

When bases are same, powers are to be added

=> [tex](z^{3+2})-(y^{4+1})[/tex]

=> [tex]z^5-y^5[/tex]

P.s. Yessss, Wishing should be a moderator so that he can delete all the absurd or plagiarized answer!!!!!!!!

A study compared surgery and splinting for subjects suffering from carpal tunnel syndrome. It was found that among 73 patients treated with surgery,
there was a 92% success rate. Among 83 patients treated with splints, there was a 72% success rate. Calculations using those results showed that if
there really is no difference in success rates between surgery and splints, then there is about 1 chance in 1000 of getting success rates like the ones
obtained in this study. Which statement cannot be said?
The better treatment for carpal tunnel syndrome is surgery.
The result has practical significance.
The recommended treatment for carpal tunnel syndrome is splinting.
The result has statistical significance.​

Answers

Answer:

the answer is c

Step-by-step explanation:

because if the surgery has a 92% success rate and the splints have a 72% success rate then surgery would be recommended because it has a higher success rate

The second drop down menu on each question includes options: decimal place(s) or significant figure(s)

Answers

Answers:

A. 1 Decimal Place 92.2B. 4 Decimal Places 1.8164

Step-by-step explanation:

I solved the problem.

I'm always happy to help :)

Help please, this is annoying lol

Answers

Answer:

Cost=x25+200

Step-by-step explanation:

The amount of people is unknown but each person the cost will be $25 for refreshments per each passenger; the limo cost $200 once you figure out how many people will go to prom x will be, EXAMPLE: x=6 times $25 plus $200 which will give you the cost.

Write 21/7 as a whole number

Answers

Answer: 3

Step-by-step explanation:

7x=21 21/7=3

50 + 100n where n = 2

Answers

Answer is 250:) hope this helps you!!

What is the image of the point by (-5,3) under a 270 rotation about the point (-7,-3)

Answers

Step-by-step explanation:

here, the given point is (-7,-3)

now, by the formula,

p(x,y)= p-1 (-y+a+b,x-a+b) ( p-1 is p das)

p(-5,3)= p-1 (-13,-1) is answer.

hope it helps..

A lease provides that the tenant pays $760 minimum rent per month plus 4% of the gross sales in excess of $150,000 per year. If the tenant paid a total rent of $20,520 last year, what was the gross sales volume?

Answers

Answer:

$435,000

Step-by-step explanation:

$760 per month * 12 months = $9,120

The minimum rent requires an annual rental cost of $9,120.

The annual rent was $20,520.

The excess was $20,520 - $9,120 = $11,400.

The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.

$11,400 is 4% of the amount in excess of $150,000.

Let the amount in excess of $150,000 = x.

$11,400 = 4% of x

0.04x = 11,400

x = 285,000

$285,000 is the amount in excess of $150,000.

Total gross sales volume = $285,000 + $150,000 = $435,000

23 increased by twice Janelle's savings Use the variable j to represent Janelle's savings.

Answers

Answer:

2x+23

Step-by-step explanation:

ATV sports commentator claims that 40% of all baseball
injuries are knee injuries. Assuming that this claim is true,
what is the probability that in a game with 5 reported injuries:
(use calculator)
a. None are knee injuries?
b. All are knee injuries?
c. At least three are knee injuries?
d. No more than 2 are knee injuries?

Answers

B is the answer tell me if im right

if you vertically stretch the expontial function f(x) = 2^2 by a factor of 5, what is the equation of the new function?

Answers

Answer:

g(x) = [tex]5(2^{2x} )[/tex]

Step-by-step explanation:

If a function f(x) is vertically stretched by a factor of k, the new function we get in the form of k.f(x).

Rule to be followed,

y = k.f(x)

Where k > 1

If the function is vertically compressed then 0 < k < 1

Following the same rule,

A function, f(x) = [tex]2^{2x}[/tex] when vertically stretched by a factor of 5,

Transformed function will be,

g(x) = [tex]5(2^{2x} )[/tex]

in the life of a car engine, calculatedin miles, is normally distributed, with a mean of 17,000 miels and a standard deviation of 16,500 miles, what should be the guarantee period if the company wants less than 2% of the engines to fail while under warranty g

Answers

Answer:

the guarantee period should be less than 136010 miles

Step-by-step explanation:

From the given information;

Let consider Y to be the life of a car engine

with a mean μ = 170000

and a standard deviation σ = 16500

The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.

i.e

P(Y < T ) < 0.02

For the variable of z ; we have:

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]z = \dfrac{x - 170000 }{16500}[/tex]

Now;

[tex]P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})[/tex]

[tex]P( Z < \dfrac{T- 170000}{16500})< 0.02[/tex]

From Z table ;

At P(Z < -2.06) ≅ 0.0197  which is close to 0.02

[tex]\dfrac{T- 170000}{16500}<- 2.06[/tex]

[tex]{T- 170000}<- 2.06({16500})[/tex]

[tex]{T- 170000}< - 33990[/tex]

[tex]{T}< - 33990+ 170000[/tex]

[tex]{T}<136010[/tex]

Thus; the guarantee period should be less than 136010 miles

20
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement
in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?

Answers

Answer:

[tex]m=12f[/tex]

Step-by-step explanation:

The measurement in inches =m

The measurement  in feet = f

We are told that: m varies directly with f

Written mathematically:

[tex]m\propto f[/tex]

Introducing the constant of variation, we have:

[tex]m=k f[/tex]

Given that: k=12

The equation relating these two quantities is:

[tex]m=12f[/tex]

Mrs Tan has 2 daughters, Phoebe and Jody. The highest common factor and lowest common multiple of their ages are 3 and 168 respectively.If Phoebe is 3 years older than her sister, find her age. ​

Answers

Answer:

Phoebe's age = 24 years.

Step-by-step explanation:

Given:

Highest Common Factor and Lowest Common Multiple of the ages are 3 and 168 respectively.

Phoebe is 3 years older than Jody.

To find:

The age of Phoebe = ?

Solution:

Here, We have two numbers whose

HCF = 3 and

LCM = 168

Let the age of Phoebe = P years and

Let the age of Jody = J years

As per given statement:

[tex]P = J + 3 ...... (1)[/tex]

Let us learn about the property of LCM and HCF of two numbers.

The product of LCM and HCF of two numbers is equal to the product of the two numbers themselves.

LCM [tex]\times[/tex] HCF = P [tex]\times[/tex] J  

[tex]\Rightarrow P\times J = 3 \times 168 \\\Rightarrow P\times J = 504[/tex]

Putting the value of P from equation (1):

[tex]\Rightarrow (J+3)\times J = 504\\\Rightarrow J^2+3J-504 = 0\\\Rightarrow J^2+24J-21J-504 = 0\\\Rightarrow J(J+24) - 21(J+24) = 0\\\Rightarrow (J - 21)(J+24) = 0\\\Rightarrow J = 21, -24[/tex]

Negative value for age is not possible So, Jody's age = 21 years

Using equation (1):

Phoebe's age = 21 + 3 = 24 years.

Other Questions
Helpppp urgently Please help me.. T-T A solution of malonic acid, H2C3H2O4, was standardized by titration with 0.0990 M NaOH solution. If 20.52 mL mL of the NaOH solution is required to neutralize completely 11.13 mL of the malonic acid solution, what is the molarity of the malonic acid solution Dylan uses the expressions (x2 2x + 8) and (2x2 + 5x 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylans room? What is the prime factorization of 18? Enter your answer in the box ____ Which of the following is a cloud computing element that gives a service provider the ability to dynamically allocate shared physical resources to multiple customers based on each customer's usage demand? A. On-demand. B. Resource pooling. C. Measured Service. D. Rapid Elasticity. One of the sentences below is correctly marked to show the prepositional phrase, the preposition, and its object. Which sentence is correctly marked? Hint: The prepositional phrase is in parentheses. The preposition is in bold text. The object of the preposition is in italics. (On the table) is the book. (On the table is the book). On the table (is the book). (On the table) is the book. some students believe that teachers are full of hot air. If I inhale 3.5 liters of gas at a temperature of 19 degrees Celsius and it heats to a temperature of 58 degrees celsius in my lungs. what is the new volume of the gas? Estimate the volume of a human heart (in mL) using the following measurements/assumptions:_______. 1. Blood flow through the aorta is approximately 11.2 cm/s 2. The diameter of the aorta is approximately 3.0 cm 3. Assume the heart pumps its own volume with each beat 4. Assume a pulse rate of 67 beats per minute. QUESTION 31 Chipmunk mitochondrial DNA was fingerprinted using the single primer amplified region technique (SPAR) and the PCR reaction. One four base primer was used. If the DNA from chipmunk mitochondria is a circlular piece of DNA about 16000 base pairs long, how many fragments should be produced by this technique you will be going on a trip to Curitiba, Brazil, to work with the organization for the summer. You know nothing about the city. What can you do to learn about the culture? check all that apply A. look for American things to do there B. ask questions of the locals when you can C. use your ears, eyes and mind to observe the city D. look for paintings from local artists Property rights are important to individuals because they provide the needed to secure credit. This allows people to invest in small businesses or pay for education. Property rights also ensure use of resources. Thats because individuals will use their resources carefully and wisely to profit. Janaki Temple and Pashupatinath Temple are increasing our pride how Imagine you are preparing to interview a student who won an award for saving someones life. Which three questions can you answer on your own using background research before conducting an interview? What is your name? Who influenced you? Whom did you rescue? How did it feel to rescue someone? Where and when did the rescue occur? Expression equlivalent to 48+30 (4.06 MC)Which statement best compares coastal ecosystems to open ocean ecosystems? a. Coastal ecosystems include abyssopelagic depths, and open ocean ecosystems do not. b. Coastal ecosystems have less sunlight, fewer nutrients, and less diversity than open ocean ecosystems. c. Coastal ecosystems have a greater range of water pressures than open ocean ecosystems. d. Coastal ecosystems have more sunlight, more nutrients, and higher levels of productivity than open ocean ecosystems. was the 1950-report that urged stepped-up production of atomic bombs, the development of hydrogen bombs and a build-up of U.S. conventional weapons to stay ahead of the Soviet Union who were developing their own nuclear arsenal. a. NWO-13 b. RFD-42 c. NSC-68 d. Joe-4 2) A basketball player scores 70% of his shots on average. What is the probability that he scores at least 18 successful shots tonight if he gets 20 shots? From the set {5, 15, 20}, use substitution to determine which value of x makes the inequality true. x + 10 >25 A . 20 B. 5 C. none of these D. 15