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3 years ago

5

Find the value of x and y. Show all your work neat and in order.

1 answer:

Mazyrski [523]3 years ago

8 0

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

64 - 64 + 4y = 180° - 64

4y = 116°

y = 116/4

y => 29°

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PLEASE HELP! Urgent!!!

zaharov [31]

Answer:

$\frac{9}{2}\pi +35$

Step-by-step explanation:

The area of trapezoid is given by the formula:

$A=\frac{1}{2}(b_1+b_2)h$

Where

A is the area

b_1 is base 1

b_2 is base 2, and

h is the height

Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.

The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:

$A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(6+8)*5\\A=35$

Now, area of semicircle is:

$A=\frac{\pi r^2}{2}$

Where

A is the area

r is the radius

Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:

$A=\frac{\pi r^2}{2}\\A=\frac{\pi (3)^2}{2}\\A=\frac{9}{2} \pi$

Total area of the figure is $\frac{9}{2}\pi +35$

4 0

4 years ago

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

Lady bird [3.3K]

Answer:

Step-by-step explanation:

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

find the value of x

x + 2x + x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 : 4

x = 43

find angles

2x = 43 * 2

2x = 86°

-------

x = 43°

--------

x + 8 = 43 + 8

x = 51°

-----------------------

check

86 + 43 + 51 = 180°

the answer is good

6 0

2 years ago

You are told to you will have to wait 5 hours in a line with a group of other people. Determine it. 1.You know the number of min

gulaghasi [49]

Answer:

$for\ five\ hours = 300\ min$

Step-by-step explanation:

Given:

Waiting time = 5 hours.

We need to find the number of minutes for 5 hours.

Solution:

We know that 60 minutes for each hour, so one hour is equal to 60 minutes.

For one hour = $60\ minutes$

For five hours = $5\times 60$

$for\ five\ hours = 300\ min$

Therefore, you will have to wait 300 minutes in a line.

3 0

3 years ago

Find the perimeter of the figure <br> 13.5 ft<br> 9 ft<br> 12.5 ft

saveliy_v [14]

Answer:

Add all the values up and then divide by 2

Step-by-step explanation:

5 0

3 years ago

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PLEASE HELP QUICK, I need to know the answer.

Marysya12 [62]

The equivalent expression is $7^{2}$ .

We have the following expression -

$\frac{7^{-3} }{7^{-5} }$

We have to find its equivalent value.

<h3>What is the equivalent expression of the following expression-</h3>

$f(x, y) =\frac{A^{x} }{A^{y} }$

In order to divide two exponents with same base, we use the 'Quotient property of exponents.

The equivalent expression can be written as -

f(x, y) = $A^{x} A^{-y} = A^{x-y}$

In the question given we have -

$\frac{7^{-3} }{7^{-5} }$

Using the property discussed above -

$7^{-3}\;7^{5}$ = $7^{-3+5}$ = $7^{2}$

Hence, the equivalent expression is $7^{2}$ .

To solve more questions on exponents, visit the link below -

brainly.com/question/17173276

#SPJ5

3 0

2 years ago

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