Question

Two circles have circumferences measuring (3x + 32)cm and

(7x - 23)cm. What is the value of x when the circles have equal
circumferences?
A)12.5
B)10
C)12
D)13.75

Answer 1

The value of x when the two circles have equal circumferences is 13.75.

Step-by-step explanation:

To find the value of x when the two circles have equal circumferences, we set their circumferences equal to each other and solve for x.

(3x + 32) = (7x - 23)

First, we simplify the equation:

3x + 32 = 7x - 23

Next, we combine like terms:

55 = 4x

Finally, we divide both sides by 4 to solve for x:

x = 13.75