9. If AT = 2x + 1, TL = 15, and AL = 7x + 1, select ALL that are true.

B. x = 3

C. Segment AT = 7

F. Segment AL = 22

Step-by-step explanation:

To figure out what the length of Segments AT and AL are use the equation ((2x + 1) + 15) = 7x + 1.

((2x + 1) + 15) = 7x + 1

Add 1 to 15 to get 16.

2x + 16 = 7x + 1

Subtract 7x from both sides. This cancels the +7x.

2x + 16 - 7x = 1

Combine 2x and -7x to get -5x

-5x + 16 = 1

Subtract 16 from both sides. This chancels the +16x.

-5x = 1 - 16

Subtract 16 from 1 to get -15.

-5x = -15

Divide both sides by -5. This cancels the multiplication by -5.

x = -15/-5

Dividing any two negative numbers ends in a positive. Divide -15 by -5 to get 3.

x = 3

Now, substitute x for 3 in 2x + 1 and 7x + 1 to figure out the lengths.

2(3) + 1

Mulitply 2 by 3 for 6.

6 + 1

Add 1 to 6 to get 7.

Segment AT is 7 units long.

7(3) + 1

Multiply 7 by 3 to get 21.

21 + 1

Add 1 to 21 to get 22.

Segment AL is 22 units long.

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step-by-step explanation: