Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
Answer:
y = -1/5x + 29/5
Step-by-step explanation:
Take the slope and leave the y-intercept alone
Now use the point to find a new y-intercept for the parallel line
y = -1/5x + b
4 = -1/5(9) + b
4 = -9/5 + b
b = 4 - (-9/5)
b = 29/5
The equation parallel to y = -1/5x + 23/5 going through the point (9, 4) is y = -1/5x + 29/5
Answer:
3x×1/3=9×1/3
x=3
Step-by-step explanation:
fill it in
reciprocal of 3 = 1/3
Answer:
No solution
Explanation:
3x - 2y = 7
Y=1.5x+5
3x - 2y = 7
-1.5x + y = 5
3x - 2y = 7
2(-1.5x + y = 5)
3x - 2y = 7
-3x + 2y = 10
0 = 17
This is false, which means that there are no solutions.
Hope that helps!