<h3>
Answer: C) 142 degrees</h3>
=======================================================
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
----------------------------
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
The answer is 450 ml.
First, we need to solve x (the amount of orange juice):
<span>x + (x + 100) + one half x = 1850
</span>x + x + 100 + 1/2 x = 1850
We can represent 1/2 as 0.5:
2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.
Thus, in the fruit punch, there is 700 ml of orange juice.
<span>The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).
</span>
The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).
<span>The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
</span>the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - <span>350 ml of strawberry juice = 450 ml.
</span>
75% of 56 is .75 * 56
.75 * 56 = 42
Because you are decreasing, you subtract 42 from 56.
56 - 42 = 14
A 75% decrease of 56 books would leave 14 books.
Answer:
<em>Number of points shoot, x=17</em>
<em>Number of </em><em>free</em><em> </em><em>shoot</em><em>,</em><em> </em><em>y</em><em>=</em><em>7</em>
Step-by-step explanation:
Let us consider,
point shoot as x
free shoot as y.
Question say " A basketball player scored 24 times during one game "
Therefore, Number of point shoot + Number of free shoot = 24
Numerically we get,
x+y=24
Now, Free shoot gives one point and point shoot gives two points.
She scored total of 41 points.
2x+y=41
we get two equations
x+y=24
2x+y=41
By solving above linear equations...
we can write, y=24-x
replacing y value in 2x+y=41
2x+24-x=41
<em>x=17</em>
To find value of y, replace x vaule in any equation
say, x+y=24
17+y=24
<em>y=7</em>
Thus, x=17 and y=7
Number of points shoot, x=17
Number of free shoot, y=7
