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QUESTION IMAGE

substitute the given values into the given formula and solve for the un…

Question

substitute the given values into the given formula and solve for the unknown variable. if necessary, round to one decimal place.
p = a + b + c; p = 37, a = 7, b = 12 (perimeter of a triangle)
c =

Explanation:

Step1: Substitute the values into the formula

Given \( P = a + b + c \), substitute \( P = 37\), \(a = 7\), and \(b = 12\) into the formula:
\(37=7 + 12 + c\)

Step2: Simplify the right - hand side

First, calculate \(7+12\):
\(7 + 12=19\), so the equation becomes \(37=19 + c\)

Step3: Solve for \(c\)

Subtract 19 from both sides of the equation:
\(c=37 - 19\)
\(c = 18\)

Answer:

\(18\)