Question

Determine the value of x in the given scenario.

A line segment JK has point M between J and K. Line l passes through line segment JK at point l. Line segment JK has matching hatch marks on segments JM and MK. The hatch mark on segment JM is labeled 3x + 15, and the hatch mark on segment MK is labeled 8x + 25.

a) x = 2
b) x = 5
c) x = 7
d) x = 10

Answer 1

The value of x is -2.

Step-by-step explanation:

To determine the value of x, we can set the two hatch marks on segments JM and MK equal to each other:

3x + 15 = 8x + 25

Subtract 3x from both sides:

15 = 5x + 25

Subtract 25 from both sides:

-10 = 5x

Divide both sides by 5 to isolate x:

x = -2

Therefore, the value of x is -2.