Question

if $overline{ij}congoverline{jk}, hi = v + 66$, and $hk = 4v + 27$, what is the value of $v$?

Explanation:

Step1: Set up the equation

Since $\overline{JI}\cong\overline{JK}$, then $HI = HK$. So we set up the equation $v + 66=4v + 27$.

Step2: Isolate the variable terms

Subtract $v$ from both sides: $v - v+ 66=4v - v+ 27$, which simplifies to $66 = 3v+27$.

Step3: Isolate the term with $v$

Subtract 27 from both sides: $66 - 27=3v+27 - 27$, getting $39 = 3v$.

Step4: Solve for $v$

Divide both sides by 3: $\frac{39}{3}=\frac{3v}{3}$, so $v = 13$.

Answer:

$13$