Answer:
ahhhhhhhhhhhhhhh im not the person in the pic
Step-by-step explanation:
Answer:
i would say D but i am not entirely sure
Step-by-step explanation:
sorry if i am wrong
The two angles shown are vertical angles. They form when you cross two lines. They are opposite one another. Note: They don't have to be vertically up and down in relation to each other. It's possible to have them horizontally side by side like this.
So because they are vertical angles, they are congruent. This means they are equal in measure
x+90 = 4x
x+90-x = 4x-x
90 = 3x
3x = 90
3x/3 = 90/3
x = 30
Therefore the answer is choice C) The value of x is x = 30
We can check it by plugging this into the original equation above
x+90 = 4x
30+90 = 4*30
120 = 120
our answer checks out
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
Slope = m & y-intercept = b
x - 5y = 15
-5y = -x + 15
y = 
so, slope = 1/5 ; (-5 , 7)
y -y1 = m(x -x1)
![y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7D%28x-%20%5B-5%5D%29%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7D%28x%20%2B%205%29%5C%5C%5C%5Cy%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7Dx%2B5%2A%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%5C%5C%5C%5Cy%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%2B7%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx%20%2B%208)
To find the x and y-intercept, we can write an equation in slope intercept form.
first, we need to find the slope
the formula for slope is
m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation
m=(10-5)/(-9-(-15)
m=5/6
so now we can write the slope-intercept equation
y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b
15=-2.5 + b
17.5 = b
so now we know the y-intercept is (0,17.5)
now we can write the equation as
y= 5/6x + 17.5
since the x intercept is when y=0, we can set y to 0 and then solve for x
0= 5/6x +17.5
-17.5 = 5/6x
-21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
hope this helped!
