Hey there! :D
These are
vertical angles. They have the same measure, so they are equal to each other.

Subtract 25 on both sides.

Subtract 2x on both sides.

Divide both sides by 4.

I hope this helps, and have a nice day!
~kaikers
Answer:
Part 1) 
Part 2) 
Part 3) The coordinates of endpoint C are (13,5)
Step-by-step explanation:
Part 1) The endpoints of line RS are R(1, -3) and S(4,2). Find RS
we now that
the formula to calculate the distance between two points is equal to

substitute the values



Part 2) The endpoints of line CD are C(-8,-1) and D(2,4). Find CD
we now that
the formula to calculate the distance between two points is equal to

substitute the values



Part 3) The midpoint of line AC is M(5,6). One endpoint is A(-3,7). Find the coordinates of endpoint C
The formula to calculate the midpoint between two points is equal to

Let
(x2,y2)-------> the coordinates of point C
(x1,y1) -------> the coordinates of point A
substitute the given values

write the equations


therefore
The coordinates of endpoint C are (13,5)
Answers are
3y + 11 = 50
10y = 130
4x -22 = 50
7x + 4 = 130
First we solve for x and y
The two “x” variable angles are supplementary so combined they will equal 180 degrees
(4x -22)+ (7x + 4) = 180
Combine
11x -18 = 180
Add 18 to both sides to isolate variable
11x -18+ 18 = 180 + 18
11x = 198
Divide both sides by 11 to solve for x
11/11 x = 198/11
x = 18
The two “y” variable angles are supplementary so combined they will equal 180 degrees
(3y + 11)+ 10y = 180
Combine
13y + 11 = 180
Subtract 11 from both sides to isolate y
13y + 11 -11 = 180 - 11
13y = 169
Divide both sides by 13 to solve for y
13/13 y = 169/13
y = 13
Now we can solve the angles
3y + 11 =
3(13) + 11 = 50
10y =
10(13) = 130
4x -22 =
4(18) -22 = 50
7x + 4 =
7(18) + 4 = 130
The vertical angle measurement equals each other so it is correct
Answer:
x^2-9x+4
Step-by-step explanation:
(-5x^2-9x-6)+(6x^2+10)
-5x^2+6x^2-9x-6+10
x^2-9x+4