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nikdorinn [45]
2 years ago
9

In quadrilateral ABCD, AD // BC. What must the length of segment AD be for the quadrilateral to be a parallelogram?

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

Answer:

31 units

Step-by-step explanation:

Since the given shape is a parallelogram |AD| = |BC|

3x + 7 = 5x - 9 transfer like terms to same side of the equation

7 + 9 = 5x - 3x add/subtract like terms

16 = 2x divide both sides by 2

8 = x replace x with the value so we can calculate the length of AD

3*8 + 7 = 31

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The length of the other base is 82
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I need help please and thank you
ozzi

Answer:

-2480

Step-by-step explanation:

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Alenkinab [10]

Answer:

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Step-by-step explanation:

Let the amount of money Marlina's received for her salary be x.

We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:

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Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)

Finally, she spent $56 for gas. So, we will subtract 56:

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And we know that after all of the expenses, she will have $102 left. Therefore:

x-\frac{1}{2}x-338-\frac{1}{2}(x-\frac{1}{2}x-338)-56=102

We want to know how much Marlina spent on rent. So, let's find her salary x first.

First, let's distribute the 1/2:

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Combine like terms:

(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x)+(-338+169-56)=102

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\frac{1}{4}x-225=102

Add 225 to both sides:

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Multiply both sides by 4:

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Therefore, Marlina received a total of $1308 for her salary.

We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:

r=\frac{1}{2}(1308)=\$ 654

And we're done!

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They argued because they didnt agree over the congresses conclusion they made with the delegates.
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