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I NEED HELP ON THIS BADLY PLEASE!!!! IM GIVING LOTS OF POINTS AND BRAINLIEST!!! This is due today so it would help so so much if someone can help me with this please

I NEED HELP ON THIS BADLY PLEASE IM GIVING LOTS OF POINTS AND BRAINLIEST This is due today so it would help so so much if someone can help me with this please class=

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semsee45

Answer:

C) 2

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides that are both equal in length and parallel.

Therefore, for figure ABCD to be a parallelogram, AB ≅ CD and BC ≅ AD.

To find the value of x for which ABCD must be a parallelogram, we can set the expressions for side lengths BC and AD equal to each other and solve for x:

[tex]25x+1=7x+37\\\\\\25x+1-7x=7x+37-7x\\\\\\18x+1=37\\\\\\18x+1-1=37-1\\\\\\18x=36\\\\\\\dfrac{18x}{18}=\dfrac{36}{18}\\\\\\x=2[/tex]

Therefore, the value of x for which ABCD must be a parallelogram is:

[tex]\LARGE\boxed{\boxed{x=2}}[/tex]

msm555

Answer:

2

Step-by-step explanation:

Since the opposite side of the parallelogram are equal.

So,

BC = AD

Substitute the value:

25x + 1 = 7x + 37

Subtract 7x on both sides:

25x + 1 - 7x = 7x + 37 - 7x

18x + 1 = 37

Subtract 1 on both sides:

18x + 1 - 1 = 37 - 1

18 x = 36

Divide both sides by 18.

[tex]\dfrac{18x}{18} = \dfrac{36}{18}[/tex]

x = 2

So, the value of x is 2.

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