what value of x will make △onm similar to △srq by the sas similarity theorem? 16 20 25 50

Explanation:

Step1: Apply SAS similarity theorem

For (\triangle ONM\sim\triangle SRQ) by SAS similarity theorem, (\frac{NM}{RQ}=\frac{OM}{SQ}). Here (NM = 10), (OM = 8), (SQ=20), and (RQ=x). So, (\frac{10}{x}=\frac{8}{20}).

Step2: Cross - multiply

Cross - multiplying gives (8x=10\times20).

Step3: Solve for (x)

(8x = 200), then (x=\frac{200}{8}=25).

Answer:

25