Mike can build a go cart in 30 days, jed can build one in 20 days and erick in 60 days. if all of them share the work, how quickly can they build a go cart? i know the answer is 10, but how do i get to that?

10 days

Step-by-step explanation:

Mike:

Jed:

Erick:

Together: + + = 1

60 + + = 1)

2x + 3x + x = 60

             6x = 60

               x = 10

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°