Question

What is the value of x? Enter your answer in the box. units Triangle B D R with line segment Q C parallel to segment B R with C between R and D and Q between B and D. B Q equals 26, Q D equals 39. R C equals 18. C D equals x.

Answer 1

It's 27, I just took the quiz.

Answer 2

The diagram of the given question is attached .

Since line segment QC parallel to BR, so the two triangles are similar .

And when triangles are similar, the corresponding sides are in same proportion. That is

$\frac{DQ}{QB} = \frac{DC}{CR} \\ \frac{39}{26} = \frac{x}{18}$

On performing cross multiplication , we will get

$39*18 = 26x \\ x = \frac{39*18}{26} = 27$