Jack charges $40 initial fee plus $30 an hour to work on vehicles. mark charges $25 an hour with a $50 initial fee. to work on vehicles. at what number of hours do they charge the same amount? how much is this amount?

write the system.

Step-by-step explanation:

Let the equal number of hours be represented by variable H;

The two equations will be as follows;

Jack; 40 +30H

Mark; 50 +25H

Next, equate them;

40 + 30H = 50 + 25H

30H - 25H = 50 - 40

5H = 10

H =10/5

H = 2hrs

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30H = 40 + (30*2)

=40 + 60

= $100

89

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)