Question

20 POINTS! Pls show your work.

If AD = 8x + 6 and CB = 5x + 30, find AD.
a) 66
b) 8
c) 40
d) 70

Answer 1

The correct answer is d) 70.

Since AD = CB, we can set the two expressions equal to each other:

8x + 6 = 5x + 30

Subtracting 5x from both sides gives:

3x + 6 = 30

Subtracting 6 from both sides gives:

3x = 24

Dividing both sides by 3 gives:

x = 8

Now that we know x = 8, we can substitute it into either expression for AD or CB to find the value of AD:

AD = 8x + 6 = 8(8) + 6 = 70

Therefore, AD = 70.