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Alex73 [517]
2 years ago
8

What is the length of side AB of parallelogram ABCD? units 4g - 8 B q+4

Mathematics
1 answer:
Andrews [41]2 years ago
6 0

Answer:

8 units

Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

  • 4q-8-q=q+4-q
  • 3q-8=4

Step 2: Add 8 to both sides.

  • 3q-8+8=4+8
  • 3q=12

Step 3: Divide both sides by 3.

  • 3q/3 = 12/3
  • q=4

Step 4: Plug in the value of q for side AB.

  • 4(4)-8
  • 16-8
  • 8

Therefore, the answer is 8 units.

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