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weeeeeb [17]
3 years ago
15

For what value of x must ABCD be a parallelogram? Picture below*

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Comment

BD is already given to you as bisected. AC must also be bisected. That means that 6x and 7x - 5 must the the same value. Then and only then will the figure be a parallelogram. (a four sided figure is a parallelogram if the 2 diagonals are bisected.

Equation

6x = 7x - 5                    Subtract 6x from both sides

Solution

6x - 6x = 7x - 6x - 5     Simplify

0 = x - 5                        Add 5 to both sides

5 = x - 5 + 5                 Simplify

x = 5

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