Question

Two supplementary angles have measures of 3x - 20 and 5x. Find x. Find the perimeter of a rectangle with side lengths of 14 inches and 18 inches. Find the area of a circle with a radius of 22 feet. Use 3.14 for pi. A) x = 20 B) x = 10 C) x = 5 D) x = 0

Answer 1

The perimeter of a rectangle with side lengths of 14 inches and 18 inches is 64 inches. The area of a circle with a radius of 22 feet is 1519.76 square feet.

Step-by-step explanation:

To find x, set up the equation:

3x - 20 + 5x = 180

Combine like terms:

8x - 20 = 180

Add 20 to both sides:

8x = 200

Divide both sides by 8:

x = 25

Therefore, the value of x is 25.

To find the perimeter of a rectangle with side lengths of 14 inches and 18 inches, use the formula:

Perimeter = 2(length + width)

Plug in the values:

Perimeter = 2(14 + 18)

Perimeter = 2(32)

Perimeter = 64 inches

To find the area of a circle with a radius of 22 feet, use the formula:

Area = π(radius)^2

Plug in the values:

Area = 3.14(22)^2

Area = 3.14(484)

Area = 1519.76 square feet