Question

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

Explanation:

Step1: Identify angle - sum relationship

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

Step2: Simplify the left - hand side of the equation

Combining like terms in $2x+(x + 6)=90$, we get $2x+x+6 = 90$, which simplifies to $3x+6 = 90$.

Step3: Solve for $x$

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

Answer:

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