Answer:
x = 22, y = -4
Step-by-step explanation:
x + 6y = -2 --- Equation 1
-x = 3y - 10 --- Equation 2
Equation 2 ×(-1): x = -3y + 10 --- Equation 3
Substitute x = -3y + 10 into Equation 1:
x + 6y = -2
-3y + 10 + 6y = -2
3y + 10 = -2
3y = -2-10
= -12
y = -12 ÷ 3
y = -4
Substitute y = -4 into Equation 3:
x = -3y + 10
x = -3(-4) + 10
= 12 + 10
x = 22
105.60-75=35.60
35.60/.30=102
1000+102=1102. He used 1102 minutes
Answer:
FG = 39
Step-by-step explanation:
From the question given:
FH = 9x + 15
GH = 5x + 4
FG = ?
From the question given above, we can say that G is the midpoint of FH. This implies that:
FH = FG + GH
With the above idea in mind, we can obtain FG as follow:
FH = 9x + 15
GH = 5x + 4
FG = ?
FH = FG + GH
9x + 15 = FG + 5x + 4
Rearrange
FG = 9x + 15 - 5x - 4
FG = 9x - 5x + 15 - 4
FG = 4x + 11
Next, we shall determine the value of x. This can be obtained as follow:
Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e
FG = GH
With the above idea in mind, we can obtain the value of x as follow:
FG = 4x + 11
GH = 5x + 4
FG = GH
4x + 11 = 5x + 4
Collect like terms
11 - 4 = 5x - 4
7 = x
x = 7
Thus, we can obtain the value of FG as follow:
FG = 4x + 11
x = 7
FG = 4x + 11
FG = 4(7) + 11
FG = 28 + 11
FG = 39
***Check ***
FH = 9x + 15
x = 7
FH = 9(7) + 15 = 63 + 15 = 78
GH = 5x + 4
x = 7
GH = 5(7) + 4 = 35 + 4 = 39
FG = 4x + 11
x = 7
FG = 4(7) + 11 = 28 + 11 = 39
FH = FG + GH
FH = 78
FG = 39
GH = 39
FH = FG + GH
78 = 39 + 39
78 = 78
Answer:
83/100
Step-by-step explanation:
You move 2 times to the right your answer will be 83/100
Answer:
40°
Step-by-step explanation:
Vertically opposite angles are equal.
