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3 years ago

What is the value of x?

Mathematics

2 answers:

Airida [17]3 years ago

6 0

x=84

Add up all the sides and then subtract that number by the original amount of degrees. 540

dolphi86 [110]3 years ago

5 0

Hi,

The total degrees in a pentagon is 540. So add all the interior angles we have so far and we get 456. So we then take 540 and subtract the sum of the interior angles to get 84 degrees.

Have a great day!

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Dafna1 [17]

Answer:

(0,0) and (-2.5, 1.5)

Step-by-step explanation:

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3 years ago

The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in

Orlov [11]

Answer:

Area swept by the blade = 448 $in^{2}$

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.

So, area of sector with r=24 in = $\frac{135}{360} *\pi *24^{2}$

Simplify it,

=216 $\pi$

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = $\frac{135}{360} *\pi *14^{2}$

Simplify it

=73.5 $\pi$

So, area swept by the blade = 216 $\pi$ -73.5 $\pi$

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

=447.6769

Round to nearest whole number

So, area swept by the blade = 448 $in^{2}$

3 0

3 years ago

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

kotykmax [81]

<h3>Hello There!!</h3>

<u>Given</u>

Perimeter = (32x + 8)

<u>To </u><u>Find</u>

Length of the Patio

<u>We Know,</u>

$\text{Perimeter of Square = 4 × sides}$

$\text{ 32x + 8} = 4 \times \text{sides} \\ \\ \fbox{dividing each side with 4} \\ \\ \implies \text{( 32x} \div 4) + (8 \div 4) = \frac{4 \times \text{sides}} {4} \\ \\ \implies \text{8x + 2} = \frac{ \cancel4 \times \text{sides}} { \cancel4} \\ \\ \implies \text{sides} = \text{8x + 2}$