Question

use the hanger diagram to solve for the value of s.
write an equation to represent the hanger diagram.
1.2

Explanation:

Step1: Set up the balance equation

The left side of the hanger has a value of 12, and the right side has two triangles labeled $s$ and one square labeled 2. For the hanger to be balanced, the two sides are equal:
$12 = s + s + 2$ which simplifies to $12 = 2s + 2$

Step2: Isolate the term with $s$

Subtract 2 from both sides to isolate the term containing $s$:
$12 - 2 = 2s + 2 - 2$
$10 = 2s$

Step3: Solve for $s$

Divide both sides by 2 to find the value of $s$:
$\frac{10}{2} = \frac{2s}{2}$
$5 = s$

Answer:

Equation: $12 = 2s + 2$
Value of $s$: $5$