Write a system of equations:
x + y = 125
20x + 15y = 2100
Solving:
x = 125 - y
20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80
x + 80 = 125
x = 125 - 80
x = 45
The first charges 45$ per hour and the second charges 80$ per hour
Answer:
Step-by-step explanation:
2) ∠A + ∠B = 146 {Exterior angle theorem}
5y + 3 + 4y + 8 = 146
5y + 4y + 3 + 8 = 146 {combine like terms}
9y + 11 = 146
9y = 146 -11
9y = 135
y = 135/9
y = 15
3) m∠A = 5y + 3
= 5*15 + 3
= 75 + 3
∠A = 78
4) m∠B = 4y + 8
= 4*15 + 8
= 60 + 8
m∠B = 68
5) m∠ACB + m∠A + m∠B = 180 {Angle sum property of triangle}
m∠ACB + 78 + 68 = 180
m∠ACB + 146 = 180
m∠ACB = 180 - 146
m∠ACB = 34
Answer:
5) x=7
6) x=14
7) x=22
8) x=27
Step-by-step explanation:
Please see attached picture for full solution.
If 2 straight lines intersect, then the 2 angles opposite each other are equal.
The area is 115.5
I did this by subtracting 7 (from the triangle) from 20 to find the the rectangle width!
20-7= 13
Area of rectangle
13•7 =91
Area of triangle
(7•7)/2= 24.5
But it asked the area of the figure so you’ll add both of them together
24.5 + 91 = 115.5
Answer:
Answer is option b and c and d
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