What is the Value of X?

Question

asked Feb 1, 2019 10.3k views

1 Answer

TomoJ · Answer 1 · 2019-02-07T05:59:05+0000

Answer:

$x=9\ units$

Explanation:

we know that

Triangles BDR and QDC are similar by SAS Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

(BD)/(QD)=(RD)/(CD)

substitute the given values

$(64)/(24)=(15+x)/(x)\\ \\ 64x=24(15+x)\\ \\ 64x=360+24x\\ \\ 64x-24x=360\\ \\ 40x=360\\ \\ x=9\ units$