Question

The Equation 46=2a +2b gives the relationship between the side lengths a and b of a certain parallelogram if a=9 what is the value of b

a.14
b.15
c.16
d.13

Answer 1

To find the value of b when a = 9 in the equation 46 = 2a + 2b, substitute the value of a into the equation and solve for b.

Step-by-step explanation:

To find the value of b when a = 9 in the equation 46 = 2a + 2b, we substitute the value of a into the equation and solve for b.

Step 1: Substitute a = 9 into the equation:
46 = 2(9) + 2b
Step 2: Simplify the equation:
46 = 18 + 2b
Step 3: Move the constant terms to one side:
46 - 18 = 2b
Step 4: Simplify the equation:
28 = 2b
Step 5: Divide both sides by 2 to solve for b:
b = 28/2
Step 6: Simplify the equation:
b = 14