Question

help help help! I would like some help with this :) given the quadrilateral is a parallelogram, write an equation to find the value of x please :) also solve the question!

Answer 1

$\begin{gathered} x+18=3x-2(\text{equation 2)(blue)} \\ x=10 \end{gathered}$

Explanation

Step 1

a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

then

$\begin{gathered} 4x=y(\text{equation 1)(gr}een) \\ x+18=3x-2(\text{equation 2)(blue)} \end{gathered}$

Step 2

solve the equation ( 2) for x

$\begin{gathered} x+18=3x-2(\text{equation 2)(blue)} \\ \text{subtract x in both sides} \\ x+18-x=3x-2-x \\ 18=2x-2 \\ \text{add 2 in both sides} \\ 18+2=2x-2+2 \\ 20=2x \\ \text{divide both sides by 2} \\ \frac{20}{2}=\frac{2x}{2} \\ 10=x \end{gathered}$

so, the answer is

x=10

I hope this helps you