Question

If BC = 4.5, CD = 7.7, and AD = 16.7, find AB to the nearest tenth.

A. 2.1

B. 28.6

C. 9.8

D. 2.2

Answer 1

I think the answer is B not sure

Answer 2

ANSWER


`9.8`


Step-by-step explanation

Triangle ABC is similar to triangle ADC,
therefore the corresponding sides sides are in the same proportion.



`(AB)/(AD) = (BC)/(CD)`



We substitute the values to obtain,



`(AB)/(16.7) = (4.5)/(7.7)`


We multiply through by

`16.7`

to get,


`AB= (4.5)/(7.7) * 16.7`

This simplifies to give us,


`AB= 9.75940259402....`

To the nearest tenth,


`AB= 9.8`

The correct answer is C