Question

Solve for x A. 36 B. 30 C. 10 D. 20

Answer 1

Answer:

The answer to your question is the letter B. x = 30

Step-by-step explanation:

Data

Find x

Process

To solve this problem use proportions. Compare the small triangle and the large triangle.

1) For the small triangle

                         x/ (24 - 4) = x/20

2) For the large triangle

                         (x + 6) / 24

3.- Equal both expressions

                         x/20 = (x + 6)/24

-Solve for x

                        24x = 20(x + 6)

-Expand

                        24x = 20x + 120

-Simplify like terms

                        24x - 20x = 120

                          4x = 120

-Result

                            x = 120/4

                            x = 30