<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
Answer: 2
Step-by-step explanation:
1 ÷ 0.5 = 2
Answer:
Total credit hours a student have = 2.5 hours.
Step-by-step explanation:
P.S - The exact question is -
Given - The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.
To find - How many credit hours will a student have to take for the two tuition costs to be equal.
Proof -
If the two tuition cost are equal, then
C(h) = S(h)
⇒250 + 200h = 300 + 180h
⇒200h - 180h = 300 - 250
⇒20h = 50
⇒2h = 5
⇒h =
⇒h = 2.5
∴ we get
Total credit hours a student have = 2.5 hours.
The equation that represents the line is:
Step-by-step explanation:
We have to observe the graph to find the points on line
So the points on line are:
(x1,y1) = (4,6)
(x2,y2) = (-2,1)
First of all we have to find the slope
Equation of line is given by:
Putting the value of slope
Putting (4,6) in the equation
Putting the value of b
Hence,
The equation that represents the line is:
Keywords: Equation of line, slope
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The first number is 14 and the second number is 22