Question

look at the diagram.
which equation can be used to solve for x?
$5x = 34$ $7x - 34 = 90$ $7x + 34 = 90$ $2x = 34$
solve for x.
$x = $

Explanation:

Step1: Identify right angle sum rule

The angles $\angle CJF$ is a right angle ($90^\circ$), so the sum of $\angle CJD$, $\angle DJE$, and $\angle EJF$ equals $90^\circ$. Also, vertical angles tell us $\angle CJD = 34^\circ$.

Step2: Set up the equation

Substitute the known angle and variable expressions:
$2x + 5x + 34 = 90$
Simplify the left side:
$7x + 34 = 90$

Step3: Isolate the variable term

Subtract 34 from both sides:
$7x = 90 - 34$
$7x = 56$

Step4: Solve for x

Divide both sides by 7:
$x = \frac{56}{7}$

Answer:

Correct equation: $7x + 34 = 90$
$x = 8$