Question

Determine the value of b. answers: A) 30 B) 5.2 C) 4.8 D) 6.53

Answer 1

4.8

Explanation:

Answer 2

C

Explanation:

These are similar triangles due to the SAS Postulate so we can set equal proportions using the side lengths:

`(14)/(14+5.6) =(12)/(12+b)`

Simplify:

`(14)/(19.6) =(12)/(12+b)`

You can simplify the left fraction even further:

`(5)/(7) =(12)/(12+b)`

Multiply both sides by 7:

`5=(84)/(12+b)`

Since 84/(12+b)=5, you can rewrite it easier:

`12+b=(84)/(5)`

Isolate the variable:

`b=(84)/(5) -12`

`b=16.8-12`

`b=4.8`