Question

Please help!!!

SEE THE ATTACHED IMAGE


What is the value of x?




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Answer 1

`x=27\ units`

Explanation:

we know that

Triangles BDR and QDC are similar, because QC and BR are parallel lines

If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor

In this problem

`(QD)/(BD) =(DC)/(RD)`

substitute the values

`(39)/(39+26) =(x)/(x+18)`

`(39)/(65) =(x)/(x+18)`

`65x=39(x+18)`

`65x-39x=702`

`26x=702`

`x=702/26`

`x=27\ units`