Answered

Get the information you need quickly and easily with IDNLearn.com. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

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

What Is The Length Of Side AB Of Parallelogram ABCD Units 4g 8 B Q4 class=

Sagot :

Renkneeidn

Answer:

8 units

Step-by-step explanation:

» Concepts

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

» Application

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.

» Solving

Step 1: Subtract q from both sides.

  • [tex]4q-8-q=q+4-q[/tex]
  • [tex]3q-8=4[/tex]

Step 2: Add 8 to both sides.

  • [tex]3q-8+8=4+8[/tex]
  • [tex]3q=12[/tex]

Step 3: Divide both sides by 3.

  • [tex]3q/3 = 12/3[/tex]
  • [tex]q=4[/tex]

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

  • [tex]4(4)-8[/tex]
  • [tex]16-8[/tex]
  • [tex]8[/tex]

Therefore, the answer is 8 units.

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.