Question

Find the value of x.

A.
30
B.
33.3
C.
75
D.
83.3

Answer 1

The correct option is A.

Explanation:

Triangle Proportionality Theorem: If a line segment is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

Using Triangle Proportionality Theorem, we get

`(60)/(60+40)=(x)/(50)`

`(60)/(100)=(x)/(50)`

Multiply both sides by 50.

`(6)/(10)* 50=x`

`30=x`

The value of x is 30, therefore the correct option is A.

Answer 2

60/(60+40) = x/50

60/100 = x/50

using cross products

60*50 = 100x

3000=100x

divide by 100

x =30

Choice A