Given: a | | b, m 2 = m 3
Prove: m 1 = m 3
1. a || b, m∠2 = m∠3
Given
2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.
3. m∠1 = m∠3
Substitution
1) -x + 4 = -2x - 6
Add(2x)
x+4=-6
Subtract(4)
x = -10
<u>Check your work</u>
-(-10)+4=-2(-10) - 6
10+4=-2(-10) - 6
14=-2(-10)
14=20 - 6
14=14
Correct :)
2) 4R - 4 = 3R + 10
Add 4
4R=3R+14
Subtract 3R
R = 14
<u>Check your work</u>
4(14)-4=3(14)+10
56-4=3(14)+10
52=3(14)+10
52=42+10
52=52
Correct :)
3) 2Y - 3 = Y - 4
Add 3
2Y = Y - 1
Subtract Y
Y = -1
<u>Check your work</u>
2(-1)-3=-1-4
-2-3=-1-4
-5=-5
Correct :)
<em>Hope it helps <3</em>
To
understand this picture 2 cones that are stacked one on top of
another. A double-napped cone is created when a generator is rotated
about a fixed vertical axis. A line is created when the cone is cut
by a plane containing the generator. Please see the attachment to
help you understand this.
I
hope this helps, Regards.
Answer:
- 17900 + 700
answer to the equation would be -17,200