Answered

Get the information you need with the help of IDNLearn.com's expert community. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

Find AB. A =20B = 10C = 54 D = 12

Find AB A 20B 10C 54 D 12 class=

Sagot :

Answer:

C. 54

Explanation:

The triangles ABD and ACD are congruent by SAS (Side - angle - side) becuase

AD is congruent to itself

∠ADB = ∠ADC

BD is congruent to CD

So, the length of AB is equal to the length of AC and we can write the following equation

AB = AC

4x + 6 = 5x - 6

Solving for x, we get:

4x + 6 + 6 = 5x - 6 + 6

4x + 12 = 5x

4x + 12 - 4x = 5x - 4x

12 = x

Then, the length of AB is

AB = 4x + 6

AB = 4(12) + 6

AB = 48 + 6

AB = 54

Therefore, the answer is

C. 54

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.