<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:
101,250
Step-by-step explanation:
100,000 * (1 + 5%/(12/3)) = 100,000 * (1.0125) = 101,250
Answer:
Vertex is (-4,3)
Step-by-step explanation:
rewrite the problem from y=-2(x+4)^2+3 to y=ax^2+bx+c
y=-2x^2-16x-29
the parabola points are: a=-2 b=-16 c=-29
then divide x= -b/2(a)
x= -(-16)/2(-2)
simplify: x=-4
go back and plug in x=-4 to get y
y=3
Answer is (-4,3)
The two equations that have been given in the question are:
x - y = 11
2x + y =19
Now we will take the first equation.
x - y = 11
x = 11 + y
Now replacing the value of x in the second equation we get
2x + y = 19
2(11 + y) = 19
22 + 2y = 19
2y = 19 - 22
2y = -3
y = - 3/2
Now putting the value of y in the first equation we get
x - y = 11
x - (-3/2) = 11
2x + 3 = 11 * 2
2x + 3 = 22
2x = 22 -3
2x = 19
x = 19/2
So the value of x is 19/2 and the value of y is -3/2.
Answer:
<h2>z = - 7</h2>
Step-by-step explanation:
<u>Move -1 to the right side of the equation</u>
<u>Divide both sides by 2</u>
We have the final answer as
<h3>z = - 7</h3>
Hope this helps you