Answer:
y = (7/3)x - 9
Step-by-step explanation:
1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3
2. Equation of new line --> y = (7/3)x + b
- Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.
3. Plug in given values --> 5 = (7/3)(6) + b
4. Solve for b --> b = 5 - 14 b = -9
5. New line --> y = (7/3)x - 9
Part percent
—— = ————. I use that method a lot and it helped me. ANSWER:65%
Whole 100
11.70 gallons....................................
<h3>
Answer: C) 142 degrees</h3>
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Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
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Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
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The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
Everything except circle and trapezoid