Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula

Use pythagoras formula for triangle PQM.





The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.


.....(1)
Use pythagoras formula for triangle MQR.



.... (2)
From equation (1) and (2) we get




Therefore length of PR is 6.4 units and option 4 is correct.
If the current ratio of red to blue to green socks is 2:3:7, then t<span>here are exactly 2x red socks, 3x blue socks and 7x green socks.
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1. If amount of red socks are increased by n new socks, then t<span>here are exactly 2x+n red socks, 3x blue socks and 7x green socks and (2x+n):3x:7x=8:9:21. This means that 2x+n=8y, 3x=9y, 7x=21y. You have that x=3y and 6y+n=8y, n=2y.
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2. If amount of blue socks are increased by n+2 new socks, then t<span>here are exactly 2x red socks, 3x+n+2 blue socks and 7x green socks and 2x:(3x+n+2):7x=2:4:7. This means that 2x=2t, 3x+n+2=4t, 7x=7t. Now you have that x=t and 3t+n+2=4t, n=t-2.
</span><span>
</span><span>3. Solve x=3y, n=2y, x=t, n=t-2. You obtain that t=3y, t-2=2y. Then 3y-2=2y and y=2. Hence, x=6=t, n=6-2=4.
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</span><span>Answer: n=4
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R≈1.02
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All yuh have to do is double click the boxes and the correct number will pop up.
Answer: 8.
Step-by-step explanation:
Simplify the equation by getting rid of the exponents.

Which is then simplified to:
, or 64/8. Divide to get your answer.