Question

Find the value of x. A. 30 B. 33.3 C. 75 D. 83.3

Answer 1

60/(60+40) = x/50

60/100 = x/50

using cross products

60*50 = 100x

3000=100x

divide by 100

x =30

Choice A

Answer 2

Answer:

The correct option is A.

Step-by-step 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

$\frac{60}{60+40}=\frac{x}{50}$

$\frac{60}{100}=\frac{x}{50}$

Multiply both sides by 50.

$\frac{6}{10}\times 50=x$

$30=x$

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