Question

the hanger has been updated to show were dividing each side by 5. now, rewrite the equation to solve for k.
(there is an image of a hanger with 5 triangles labeled k and a total length of 40, and below it a set of equations with numbers 43, -3, 40, 5, 5k, etc. and boxes to fill in.)

Explanation:

Step1: Analyze the hanger diagram

The hanger has 5 triangles each labeled \( k \), so the total on the bottom is \( 5k \), and the top is 40. So the equation is \( 5k = 40 \).

Step2: Solve for \( k \)

To solve for \( k \), divide both sides of the equation \( 5k = 40 \) by 5.

$$ \frac{5k}{5}=\frac{40}{5} $$

Simplify both sides: \( k = 8 \).

Answer:

\( k = 8 \)