Question

look at the diagram. which equation can be used to solve for x? 11x + 24 = 180; 11x + 24 = 90; 11x = 90; 6x = 24 solve for x. x =

Explanation:

Step1: Identify angle - sum relationship

The angles $(6x)^{\circ}$, $(5x)^{\circ}$ and $24^{\circ}$ together form a right - angle (90 degrees) as indicated by the right - angle symbol at point $V$.

Step2: Set up the equation

We know that $6x + 5x+24=90$. Combining like terms, we get $11x + 24=90$.

Step3: Solve for $x$

First, subtract 24 from both sides of the equation $11x + 24=90$. We have $11x=90 - 24$, so $11x = 66$. Then divide both sides by 11: $x=\frac{66}{11}=6$.

Answer:

The equation that can be used to solve for $x$ is $11x + 24 = 90$.
$x = 6$