x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x =
= 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x =
= - 9
Answer:
k = 3
Step-by-step explanation:
We have the distance formula:
. We can plug in
= d, x2 = 6, x1=2, y2 = 7, y1 = k.
Then, we can solve the question using some algebra to find that k = 3.
Edit: Here is a step by step:









Answer:

Step-by-step explanation:
To find slope using two points you need to find the difference in x and y. You use 
So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x
The perimeter equation for a rectangle is two times the base plus two times the height.
2B + 2H=P
Plug in the known values and solve for x.
2(2x) + 2(x+1)=53
4x+2x+2=53
6x=51
x=8.5
Now that we know what x is, put it back into the formula for the height of the rectangle to find the final answer.
H= x+1
H=8.5+1
H=9.5 ft