Answer:
h = -4
Step-by-step explanation:
7h-5(3h-8) = 72
Distribute
7h - 15h +40 = 72
Combine like terms
-8h +40 = 72
Subtract 40 from each side
-8h+40-40 = 72-40
-8h = 32
Divide each side by -8
-8h/-8 = -32/-8
h = -4
9514 1404 393
Answer:
(x, y, z) = (90, 75, 105)
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.
(x -15) +(x +15) = 180
2x = 180
x = 90
Angles y and (x-15) are opposites, so ...
y = x -15 = 90 -15 = 75
Similarly, for z ...
z = x +15 = 90 +15 = 105
The values of x, y, and z are 90, 75, and 105, respectively.
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
x=11
Step-by-step explanation:
The angles given are alternate exterior angles and alternate exterior angles are equal if the lines are parallel
5x+9 = 6x-2
Subtract 5x from each side
5x+9-5x = 6x-2-5x
9 = x-2
Add 2 to each side
9+2 =x-2+2
11=x
Answer:
N'(9, -1)
Step-by-step explanation:
N(-5, -1)
Point N has x-coordinate -5. It is 5 units to the left of the the y-axis, and another 2 units away from the line x = 2. That makes point N 7 units to the left of the line x = 2. 7 units to the right of line x = 2, the x-coordinate is 2 + 7 = 9.
Answer: N'(9, -1)