Adam and Judy own a painting company. To paint a particular house alone, Adam estimates that it would take him 8 days. Judy estimates that it would take her 6 days. If these estimates are accurate, how long should it take the two of them to paint the house if they work together?

It should take 3.43 days for the two of them to paint the house if they work together.

Step-by-step explanation:

The together rate is the sum of each separate rate.

In this problem:

Together rate: 1/x

Adam's rate: 1/8

Judy's rate: 1/6.

So

Together rate = Adam's rate + Judy's rate

It should take 3.43 days for the two of them to paint the house if they work together.

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true