Question

What is the value of x?


Enter your answer in the box.

Answer 1

Since QC and BR are parallel, triangles CDQ and BDR are similar.

This means that corresponding sides are in proportion, so we have

`BD / QD = RD / CD`

Substituting numbers, we have

`26+39 / 39 = 18+x / x \iff (65)/(39) = (18+x)/(x)`

Multiply both sides by
`39x`

`65x = 39(18+x)`

Expand right hand side:

`65x = 702 + 39x`

Subtract 39x from both sides:

`26x = 702`

Divide both sides by 26

`x = (702)/(26) = 27`

Answer 2

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!