Question

Can someone help my find the simularity and the valu of x?problem makes no sense to me

Answer 1

The correct answer is x = 5

Triangle DBC is similar to triangle DBA.

So, by Similarity Theorem,

`\begin{gathered} (CB)/(AB)=(CD)/(AD) \\ \\ (21)/(2x-5)=(14)/(10) \\ \text{Cross multiplying, we get} \\ 14(2x-5)=12*10 \\ \text{Clearing the bracket, we get} \\ 28x-70=210 \\ \text{Collecting like terms, we get} \\ 28x=210\text{-70} \\ 28x\text{ = 140} \\ \text{Dividing both sides by 28, we get} \\ x=(140)/(28)=5 \\ x=5 \end{gathered}`

The correct answer is x = 5