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15. △wxy ≅ △zyw. find a. 16. △wxy ≅ △zyx. find p.

Question

  1. △wxy ≅ △zyw. find a.
  2. △wxy ≅ △zyx. find p.

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle WXY\cong\triangle ZYX\), their corresponding sides are equal. So, \(WY = ZX\).

Step2: Set up the equation

We know that \(WY=(7p + 13)\) and \(ZX = 18\). Then \(7p+13 = 18\).

Step3: Solve the equation for \(p\)

Subtract \(13\) from both sides: \(7p=18 - 13\), so \(7p = 5\). Then \(p=\frac{5}{7}\).

Answer:

\(p=\frac{5}{7}\)