Refer to the attached image.
Given:
and measure of exterior angle at C =
.
We have to determine the measure of angle B and angle BCA.
By applying exterior angle property of the triangle which states:
"An exterior angle of a triangle is equal to the sum of the opposite interior angles".
So, exterior angle C = 


Now, applying angle sum property in triangle ABC which states:
"The sum of all the angles of a triangle is 180 degrees".





Therefore, the measure of
and
.
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.
Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)
Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
-5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115
Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
Answer:
Kite A ascends to a height of 36 feet
Step-by-step explanation:
21 + 15 = 36
Answer:
Hunter's sister is 4.53 feet tall.
Step-by-step explanation:
4.52 x 0.75 = <u>3.39 feet</u>
Part A: W = 10x
Part B: S = 400 + 15y
Part C: 490 = 400 +15y
-400 -400
90 = 15y
6 = y, so he worked a total of 46 hours.