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The equation 46=2a+2b gives the relationship between the side lengths c of a certain parallelogram. If a=9 , what is the value of b?

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Final answer:

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

Step-by-step explanation:

To find the value of b, we can substitute the given value of a = 9 into the equation 46 = 2a + 2b.

Substituting a = 9, we get:

46 = 2(9) + 2b

Simplifying the equation:

46 = 18 + 2b

Then, we can isolate b by subtracting 18 from both sides:

46 - 18 = 2b

28 = 2b

Finally, dividing both sides by 2, we find:

b = 14

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