Question

look at the diagram. which equation can be used to solve for x? 3x + 6 = 90 2(x + 6) = 90 2x + 6 = 90 8x = 90 solve for x.

Explanation:

Step1: Identify angle relationship

Since $\angle DHF = 90^{\circ}$ and $\angle DHE=2x^{\circ}$, $\angle EHF=(x + 6)^{\circ}$, and $\angle DHE+\angle EHF=\angle DHF$.

Step2: Set up the equation

We get $2x+(x + 6)=90$, which simplifies to $3x+6 = 90$.

Step3: Solve the equation for x

First, subtract 6 from both sides: $3x=90 - 6=84$. Then divide both sides by 3: $x=\frac{84}{3}=28$.

Answer:

The equation is $3x + 6 = 90$ and $x = 28$