Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the value of p? d 6p - 71 c e 7p - 98 f p =

Question

what is the value of p?
d
6p - 71
c
e
7p - 98
f
p =

Explanation:

Step1: Use property of congruent - sides

Since the two segments are congruent (marked with the same tick - marks), we set up the equation $6p - 71=7p - 98$.

Step2: Solve the equation for $p$

First, subtract $6p$ from both sides: $6p - 71-6p=7p - 98-6p$. This simplifies to $-71 = p - 98$.
Then, add 98 to both sides: $-71 + 98=p - 98+98$. So, $p=27$.

Answer:

$27$