Are the triangles named below congruent? Justify your answer.
AABC
AAED

Hello there!

we know that she earns $8 in the job 1 and $12 in the job 2; let's call J1 the amount of hours worked in the job 1, and J2 the number of hours worked in the job 2, then we have the system of equations:

J1 + J2 = 30

J1*$8 + J2*$12 = $268

We can isolate J1 in the first equation and obtain:

J1 = 30 - j2, and now we can replace this in the second equation and obtain the value of j2:

J1*$8 + J2*$12 = $268

(30 - J2)*$8 + J2*$12 = $268

$240 +$4*J2 =$268

J2 = ($268 - $240)/$4 = 28/4 = 7 hours

She worked 7 hours in the job 2

you can replace it in the first equation and get:

7 + J1 = 30

J1 = 30 - 7 = 23 hours

she worked 23 hours in the job 1.