Questions: Look at the diagram. Which equation can be used to solve for x ? 9x - sqrt(15) = 40 9x + 45 = 180 9x - 5 = 50 9x - 55 = 180 Solve for x. x =

Transcript text: Look at the diagram. Which equation can be used to solve for $x$ ? \[ 9 x-\sqrt{15}=40 \] $9 x+45=180$ $9 x-5=50$ \[ 9 x-55=180 \] Solve for $x$. \[ x=\square \]

Solution

Solution Steps

Step 1: Find the measure of angle WRV.

Angle WRV and angle VRU are complementary angles, meaning they add up to 90 degrees. Since angle VRU is 40 degrees, angle WRV is 90 - 40 = 50 degrees.

Step 2: Set up an equation.

Angle WRV is given as (9x - 5) degrees. We now know it measures 50 degrees. So, the equation is 9x - 5 = 50.

Step 3: Solve for x.

Add 5 to both sides of the equation: 9x = 55. Divide both sides by 9: x = 55/9.