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vitfil [10]
3 years ago
10

QRST is a parallelogram. Find x and y.

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:

y - 4x = 9

-x + 4 = y

Add x to both sides of the second equation:

y + x = 4

y - 4x = 9

This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:

5x = -5

x = -1

Use x to solve for y:

y + (-1) = 4

y = 5

So, x = -1 and y = 5.

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Area of a rectangle is 30cm^2.The length of one side is 5 cm .What is the width?
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The table shows the results of a survey of 200 movie rental customers:
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Allison practices her violin for at least 12 hours per week. She [practices for three fourths of an hour each session. If Alliso
Nikolay [14]
Well let’s see...

If she practices 3/4 of an hour a week we need to find out how much time is 3/4 of an hour. To do this we divide 60/4 and get 15. We check by multiplying 15 x 4 and get 60 so we know we are correct.

Now we know that 1/4 of an hour is 15 minutes, but we need to know how long she practices per session. Because 15 is 1/4 we multiply 15 x 3 to make it 3/4.

15 x 3 is 45. We check by dividing 45 by 3 and we do get 15 so we are correct.

If 3/4 of an hour is 45 minutes and she practices for 3/4 of an hour then we know that for every session she practices for 45 minutes.

The question states that she practices for 3 hours every week, since we know that we need to multiply 45 (because she practices 45 minutes every session) by a number that will get us 3 hours.

45 x 4 is 180 minutes (or three hours) we divided 180 by 4 and got 45 thus we are correct.

Which in turn means she has done 4 sessions this week. Since now we know that 4 sessions is 3 hours (making the ratio 4:3) we can multiply to find how many sessions she has left to do this week.

So if we have 4:3 then we can make it 8:6 (which means we know have 8 sessions and 6 hours) now we can make it 12:9 (12 sessions and 9 hours) and add it once more to get 16:12 (or 16 sessions and 12 hours).

Now we know that it takes 16 sessions for her to reach twelve hours, and since she and already done 4 sessions and 3 hours, it means that she has 12 sessions left to do until she is able to get her 12 hour a week goal.

—
Hope this helped, have a great day! :D
4 0
3 years ago
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