Question

solve for the value of p.
answer attempt 1 out of 2
p =

Explanation:

Step1: Set up equation

Since the two angles form a right - angle (90°), we have the equation $(5p + 7)+(4p+2)=90$.

Step2: Combine like terms

Combining the terms with $p$ and the constant terms, we get $5p+4p + 7+2=90$, which simplifies to $9p+9 = 90$.

Step3: Isolate the term with $p$

Subtract 9 from both sides of the equation: $9p+9 - 9=90 - 9$, resulting in $9p=81$.

Step4: Solve for $p$

Divide both sides of the equation by 9: $\frac{9p}{9}=\frac{81}{9}$, so $p = 9$.

Answer:

$p = 9$