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Anna11 [10]
3 years ago
14

If AD = 5x - 7 and AB = 2x +11, what is the length of AD

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

The length of AD is 6.

Step-by-step explanation:

Solve.

5x - 7 = 2x + 11 \\  \frac{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  - 2x \:  \:  \:  \:  \:  \:  =  - 2x \:  \:    \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  }{3x - 7 = 11}  \\  \frac{  \:  \:  \:  \:  \:  \:  \:  \:  \:  + 7  =  + 7}{3x = 18}  \\  \\  \frac{3x}{3}  =  \frac{18}{3}   \\  \\ x = 6

Now plug in:

5x - 7 \\ 5(6) - 7 \\ 30 - 7 \\ 23

^Therefore, your result^

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