examine the relationships that exist in the diagram below. find the measures of angles a, b, c, and d. remember that you can find the angles in any order, depending on the angle relationships you use.

Examine The Relationships That Exist In The Diagram Below. Find The Measures Of Angles A, B, C, And D.

Answers

Answer 1

Answer:

m∠a = 97°

m∠b = 15°

m∠c = 68°

m∠d = 68°

Step-by-step explanation:

Since WY and RZ are parallel lines and XR is a transverse,

m∠XWY = m∠XRZ

a = 97°

m∠WYX = 180° - 112° = 68°

In ΔXYW,

m∠WXY = 180° - (m∠XWY + m∠WYX)

              = 180° - (a + 68°)

              = 180 - (97 + 68)

              = 180 - 165

              = 15°

           b = 15°

Since WY and RZ are the parallel lines and XZ is a transverse,

m∠WYX = m∠RZX = 68°

c = 68°

m∠d = m∠c [Alternate interior angles]

d = 68°

Examine The Relationships That Exist In The Diagram Below. Find The Measures Of Angles A, B, C, And D.

Related Questions

What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

Answers

Answer:

(4;0)

Step-by-step explanation:

y=0

2x-3×0=8

2x=8

x=4

Which of the following lists all of the positive factors of 18?

Answers

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.

Answers

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys

Answers

Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.

which equation can be used to solve for c?​

Answers

Answer:

The second option

Step-by-step explanation:

cos35=5/c

5/c=cos35/1

cos35(c)=5

c=5/cos35

Therefore, the second option.

I hope this helped and have a good rest of your day!

Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.

Answers

It’s not too hard,

I hope that helps.

A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?

Answers

Answer:

A bag contains:

8 blue balls.

7 green balls.

5 red balls.

The probability that the ball is red would be:

P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25

Hope this helps!

:)

Answer:

0.25

Step-by-step explanation:

Total balls: 8 + 7 + 5 = 20

Red balls: 5

P(red) = 5/20 = 0.25

Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer

Answers

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles

Answers

Answer:

The population density is 7592 people per square mile

Step-by-step explanation:

The population density of los Angeles here refers to the number of people present by square miles

Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles

The population here is 4,000,000 while the area is 503 square miles

The population density is thus ;

4,000,000/503 = 7592.29 which is approximately 7592 people per square mile

2/9 times n = -6. find the value of n. Please help!

Answers

Answer: n = -27

Step-by-step explanation:

2/9n = -6

divide both sides by 2/9

n = -27

Answer is: n= -27

Explaination: figure it out



Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.

How could you quickly figure out how many baskets of 3 apples you could create?

Answers

Answer:

71 baskets of 3 apples.

Step-by-step explanation:

From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.

From each of the 5 baskets you can get  9/3 = 3 baskets of 3.

Therefore:-

From the 28 baskets you can create 28 * 2 = 56 baskets of 3.

From the  5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.

Total 15 + 56 = 71.

can someone give me some examples of statistics PLEASE

Answers

Answer:

Weather Forecasts,Genetics,Medical Studies i think

Step-by-step explanation:

The triangles are similar.
What is the value of x?

Answers

Answer:

x = 16

Step-by-step explanation:

We can use ratios to solve

12             x

--------- = ----------

3                    4

Using cross products

12*4 = 3x

Divide each side by 3

48/3 = 3x/3

16 =x

1)
Which choice could you use to find the volume of the given sphere? (π = 3.14)
A) V = 4(3.14)(4.5)3
B) V = 4/3(3.14)(4.5)2
C) V = 4/3(3.14)(4.5)3
D) V = (3.14)(4.5)3
2)
Determine the volume of the given sphere. (nearest tenth)
A) 91.1 cubic units
B) 286.1 cubic units
C) 381.5 cubic units
D) 401.6 cubic units

Answers

Step-by-step explanation:

(1) The radius of sphere is 4.5 units.

The volume of volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

[tex]\pi=3.14\ , r=4.5[/tex]

So,

[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]

Option C is correct.

(2) If we solve the plugged values, then we get :

[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]

[tex]V=381.5\ \text{units}^3[/tex]

Option C is correct.

Sasha is solving a multi-step equation. Her first step is shown below.
Equation: 3. - 8- 10x = 3(2x +3)
Step 1: 3 -- 10x - 8 = 6x + 9
Which properties did Sasha use to get to Step 1? Select all that apply.

addition property of equality

associative property of addition

commutative property of addition

multiplication property of equality

distributive property of multiplication over addition

Answers

Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

Which expression is equivalent?

7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19

Answers

D is the answer -8x + 19

Answer:

this is so overdue

Step-by-step explanation:

Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch

Answers

Answer:

r = 12 inches

Step-by-step explanation:

In this question, we are asked to calculate the length of the radius of the circle.

This is accessible from using the length of an arc.

Mathematically, the length of an arc can be calculated using the formula;

Theta/360 * 2 * pi * r

Where Theta is the angle subtended at the center and r is the radius of he circle.

According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)

Thus we have;

9 pi = 135/360 * 2 * pi * r

divide through by pi

9 = 270r/360

360 * 9 = 270r

r = (360 * 9)/270

r = 12 inches

Answer:

b

Step-by-step explanation:

The absolute value of -1/4 is

Answers

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a​

Answers

Answer: B, C  and E

Step-by-step explanation:

hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3

Answers

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Find the perimeter and the area of the polygon with the given vertices.

S (3,0), T (3,9), U (8,9), V (8,0)

Answers

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Find the number, if...

3/8 of it is 24.

Answers

If 3/8 is 24 then 8/8 is 64

How much is House A worth after two years? Round your answer to the nearest dollar.
How much is House B worth after two years? Round your answer to the nearest dollar.

Answers

Answer:

see below

Step-by-step explanation:

Take the original value times the appreciation and add the original value

Do this for each year

House A

year 1:

 new value = 125260+ 125260* .05

                    =125260 +6263

                     =131523

year 2:

 new value = 131523+131523* .05

                    131523+6576.15

                         138099.15

Nearest dollar  138099

House B

year 1:

 new value = 120160+ 120160* .06

                    =120160 +7209.60

                     =127369.6

year 2:

 new value = 127369.60+127369.6* .05

                    127369.60+7642.18

                         135011.78

Nearest dollar  135012

Answer:

A: $138,099

B: $135,012

Step-by-step explanation:

A: growth rate: (100+5)/100 = 1.05

125260 × 1.05² = 138,099.15

B: growth rate: (100+6)/100 = 1.06

120160 × 1.06² = 135,011.776

Solve the following:

A) a/5+3=8
B) 3b/7-1=5

Answers

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible

Answers

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Likely or probable

The area of a rectangle is 42 square inches
and one side is 12 inches long. Find the perimeter of the rectangle. ​

Answers

Answer:

The perimeter is 31 inches

Step-by-step explanation:

The perimeter is the sum of all the sides.

The formula for the area of the rectangle is : [tex]length*width[/tex]

To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.

Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.

The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.

1) Divide 42 by 12.

[tex]42/12=3.5[/tex]

2) Multiply 12 by 2.

[tex]12*2=24[/tex]

3) Multiply 3.5 by 2.

[tex]3.5*2=7[/tex]

4) Add 7 and 24.

[tex]24+7=31[/tex]

Factor the trinomial:
5x2 + 7x + 2

Answers

Answer: (5x+2)(x+1)

hope this helps

Look at the attached picture

Hope it will be helpful to you.

Please help me I really need your help please help me

Answers

Answer:

Step-by-step explanation:

Q8) Diameter = 14 in

r = 14/2 = 7 in

Area of missing chunk = πr²/4

                                    = (3.14 * 7 * 7)/4

                                    =1/4(3.14*7*7)

option 4

Q9) 90 degrees

Q10) Each minute = 6°

      In the figure shown, it is 15 minutes

  = 15* 6 = 90 degrees


The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36

Answers

Answer:

35 rabbits

Step-by-step explanation:

hens : rabbits : total

3     : 5 :  3+5

3     : 5 :  8

We have 56 total animals

56/8 = 7

Multiply each term by 7

hens : rabbits : total

3*7     : 5*7 :  8*7

21       : 35     : 56

There are 21 hens and 35 rabbits    

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w

Answers

Answer:

The original price of the food items was 24.

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