Question

In the figure below, the segment is parallel to one side of the triangle. Find the value of x



1.5
15
18
24

Answer 1

@jdoe0001 could you help me on this one as well?

Answer 2

Have you setup your proportion?

Answer 3

Would it be x+6/16 = x/12?

Answer 4

Close ^^ But we would flip the way you had set it up....

\(\Huge{\frac{16}{x+6}=\frac{12}{x}}\)

Answer 5

We would now cross multiply....

\(\Huge{16(x)=12(x+6)}\)

Answer 6

16x = 12x + 72?

Answer 7

Correct ^^ Now try to get x to one side of the equation....

Answer 8

4x = 72
Then 4x/4 = 72/4?

Answer 9

Yup ^^

Answer 10

x =18. Thank you so much!

Answer 11

Np ^^ You did a great job! :D