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Zielflug [23.3K]
2 years ago
6

In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.

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Solve each system by elimination.<br> 1) 10x + 7y=9 -4x - 7y=9
stellarik [79]

Answer:

(3, -3)

Step-by-step explanation:

When asked to solve by elimination, you put them on top of one another, like you're going to add it.

10x + 7y = 9

-4x - 7y = 9

See that 7y? You can cancel those out because one is negative, and one is positive. So those are gone. You finish adding the rest of the numbers as usual and solve for x.

6x = 18

x = 3

Take x, and plug it into either equation to find y.

10(3) + 7y = 9

7y = -21

y = -3

(3, -3)

Hope this helped!

8 0
2 years ago
What units used for rate of riding a biycicle
tatuchka [14]

cadence

hope this helps :)

3 0
2 years ago
When designing a building, you must be sure that the building can withstand hurricane force winds, which have a velocity of 73mi
Vesnalui [34]

Answer- 42646.50 pounds


Area of flat surface = Area of rectangle + area of triangle

                                = 12.9*25 + 1/2* 7.2* 25

                                 = 162.5 feet^2

Force exerted by wind =0 .004 * Area * velocity^2

                                      = 42646.50 pounds

5 0
2 years ago
Seventy-five percent of the data falls below what number? <br> 30<br> 12<br> 36<br> 27
padilas [110]
Total number is 40
Percentage asked is 75
\frac{75}{100}  \times 40
= 30
Therefore the correct answer is 30
8 0
2 years ago
Read 2 more answers
What's the lowest point of the graph of 10y + 30 = x?
inna [77]
The lowest must be ,,,,,when x=0
so
10y+30=0
10y=-30
y=-3
So your answer is (0, -3)
3 0
3 years ago
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