Question

Where is the value of x Given of x given that PQ=BC

Answer 1

8

Step-by-step explanation

here we have 2 congruent triangles

APQ and ABC

as the proportion is the same(red length over blue length)

`\begin{gathered} (x)/(12)=((12+x))/(30) \\ \text{cross multiply} \\ 30\cdot x=(12+x)\cdot12 \\ 30x=144+12x \\ \text{subtract 12 x in both sides} \\ 30x-12x=144+12x-12x \\ 18x=144 \\ \text{divide both sides by 18} \\ (18x)/(18)=(144)/(18) \\ x=8 \end{gathered}`

I hope this helps you