Answer:
Y=42 and x=7
Step-by-step explanation:
Referring that both angles equal each other we will us an = in both equations
2y-27=y+15
Subtract y from both sides
y-27=15
Now add 27 to both sides
y=42
Now check the solution
2(42)-27=57
(42)+15=57
So it is true! y equals 42!
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3x+4=5x-10
Subtract 3x from both sides
4=2x-10
Now add 10 to both sides
14=2x
Now divide both sides by 2
7=x
Now check the solution
3(7)+4=25
5(7)-10= 25
so it is true x=7!
Answer:
-1/6
Step-by-step explanation:
Slope=change in y/change in x
Y-values: 8 and -4
X-values: 4 and 2
Change is the difference in position (subtract)
8- (-4)/(4-2)=12/2=6 = first slope
Perpendicular lines have opposite reciprocal slope
Answer:
x = 35
105°, 40°, and 35°
Step-by-step explanation:
A triangle has 180°
180° - 40° = 140°
3x + x = 4x
4x = 140
4x /4 = 140 /4
x = 35
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x * 3 = 105°
40°
x = 35°