I know one of them is 1/2
11. The two angles are vertical angles, which mean they are equal to each other.
14x - 5 = 13x
Add 5 to both sides:
14x = 13x + 5
Subtract 13x from both sides:
x = 5
12. The two angles are supplementary and when added together need to equal 180 degrees.
5x -20 + 3x = 180
Combine like terms:
8x -20 = 180
Add 20 to both sides:
8x = 200
Divide both sides by 8:
x = 200 /8
x = 25
Answer:
{x,y}={−5,−7}
Explain:
// Solve equation [2] for the variable y [2] 3y = 7x + 14 [2] y = 7x/3 + 14/3 // Plug this in for variable y in equation [1] [1] 8x - 3•(7x/3+14/3) = -19 [1] x = -5 // Solve equation [1] for the variable x [1] x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the x value to solve for y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}
Hoped I helped
180 degree rotation negates both coordinates, and takes a point from quadrant 2 to quadrant 4.
Answer: 4
We can also rotate 180 degrees clockwise, or 540 degrees counterclockwise and end up in the same place.
Combining transformations, we can reflect in the x axis and then in the y axis, also negating both coordinates so equivalent to 180 degree rotation.
Part A : 30 - x - x - x - x - x - x = 0
^ since 30 divided by 5 is 6, that answer is the same as doing 5 + 5 + 5 + 5 + 5 + 5
- pls comment & correct me if i did smth wrong :’)