Remove parentheses
-2x + 12 - 9 = 2 + 9 + 2x
Simplify -2x + 12 -9 to -2x + 3
-2x + 3 = 2 + 9 + 2x
Simplify 2 + 9 + 2x to 2x + 11
-2x + 3 = 2x + 11
Add 2x to both sides
3 = 2x + 11 + 2x
Simplify 2x + 11 +2x to 4x + 11
3 = 4x + 11
Subtract 11 from both sides
3 - 11 = 4x
Simplify 3 - 11 to - 8
-8 = 4x
Divide both sides by 4
-8/4 = x
Simplify 8/4 to 2
-2 = x
Switch sides
x = -2
Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
The slope is -1 as picking any two points, and finding (y2-y1)/(x2-x1)=-1