Question

Calculate the value of x, given line segment FM = 3x and line segment MN = x + 40.

Answer 1

Answer:

D. 20

Step-by-step explanation:

The sketch shows that arc FM and arc NM are the same size, For this to be true, Line segments FM and NM have to be the same size. Knowing this, the two equations representing the line segments can be put into the following equation:

$FM=NM\\3x=x+40\\3x-x=40\\2x=40\\x=20$

Answer 2

Given that arcs NM and FM are equal,  the chords will be equal too

so , NM = FM

NM = x  + 40
FM = 3x

x + 40 = 3x
40  = 2x

x   = 20

Hope this helps