Answer:
x = 6
Step-by-step explanation:
The two angles are vertical angles and vertical angles are equal
5x = 3x+12
Subtract 3x from each side
5x -3x = 3x+12-3x
2x= 12
Divide by 2
2x/2 = 12/2
x = 6
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
10x=10
x=1
The angles with measures (5x + 4y)º and 74º are congruent because they form a pair of alternate interior angles between the parallel horizontal bars, so
5x + 4y = 74
The other two labeled angles are also congruent because they are corresponding interior angles that occur between the parallel vertical bars, so
20x + 4y = 164
Then
(20x + 4y) - (5x + 4y) = 164 - 74
(20x - 5x) + (4y - 4y) = 90
15x = 90
x = 6
which means
5*6 + 4y = 74
4y = 44
y = 11
Answer:
41 Degrees
Step-by-step explanation:
So basically you add the 72 and the other 72 to get 148.You obviously know the angle in between 72 and 72 is a right angle or 90 degrees.Then you add 148 and 90 to get 238.Then 360 - 238 is 122.Now you know all the angles.So we have to ask ourselves what is 148/360 simplified.It is 37/90.Now that we know that and we know that the radius is 10.We have to find the regular area which is 10 times 10 which is 100.Finally we need to figure out what part of 100 is 37/90 and it is 41.111111111111.Rounded it is 41.
Answer: 6
Step-by-step explanation:
Slope is found by doing:

(x1 and y1 must be from the same ordered pair and x and y must be from the same ordered pair, however point (x1,y1) and (x,y) can be used interchangeably)
Let us say that (x1,y1) is (3,18)
And (x,y) is (5,30)
