Answer: AAS
Step-by-step explanation:
Lets call the intersection point between AC and DE F.
I think he meant the two triangles AFE and DFC.
We know angle A is congruent to angle D.
We also know AE is congruent to DC.
There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.
We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.
Answer:
we get the value of x: x = 39.1
Step-by-step explanation:
We are given:
Base = 19
Hypotenuse = x
and Angle = 62°
We need to find value of x.
We know that: 
Putting values and finding value of x

So, we get the value of x: x = 39.1
Answer: a. c = 30 + 45h
b. $322.50
Step-by-step explanation:
A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.
This will be calculated as:
c = 30 + 45h
B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job?
Using the expression,
c = 30 + 45h
c = 30 + 45(6 1/2)
c = 30 + 292 1/2
c = 322.50
Therefore, Juan will pay $322.50