Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16.

What is the value of s and the length of side BC if ABCD is a rhombus?

s =
BC =

units

Respuesta :

The value of s is 45 and the value of BC is 434

How to solve for s and BC?

The given parameters are:

AB = 9s + 29

DC = 10s - 16

Opposite sides of rhombus are equal.

So, we have:

9s + 29 = 10s - 16

Evaluate the like terms

s = 45

Substitute s = 45 in AB = 9s + 29

AB = 9 * 45 + 29

Evaluate

AB = 434

This means that

BC = AB = 434

Hence, the value of s is 45 and the value of BC is 434

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