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Vesnalui
1 month ago
9

A

Mathematics
1 answer:
tester [12.3K]1 month ago
7 0
The measure of angle QPM is 43°

Step-by-step explanation:

Refer to the attached illustration for better clarity regarding the problem. We know that the measure of angle NPQ can be expressed as the sum of angles MPN and MPQ:

m∠NPQ = m∠MPN + m∠MPQ

We have the values: m∠NPQ = (9x-25)°, m∠MPN = (4x+12)°, and m∠MPQ = (3x-5)°. When substituting the supplied values, solve for x using the equation (9x-25)° = (4x+12)° + (3x-5)°. This simplifies to (9x-25)° = (7x+7)°. Following through, the equation becomes 2x = 32, so x = 16. Now, we compute the measure of angle QPM, recalling that m∠QPM equals m∠MPQ, which gives us m∠MPQ = (3x-5)°. Plugging in the value of x leads to m∠MPQ = (3(16)-5) = 43°. Thus, m∠QPM is confirmed to be 43°

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From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation ​d=|300−48t|​. At what moments does the car find itself 60 feet away from you?
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3 months ago
What is the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008 . What might have been the
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Answer:

The exact population of Vermont in 2008 could have been around 618,000

Step-by-step explanation:

* Here's how rounding to the nearest ten thousand works:

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Since the rounded population is 620,000 to the nearest ten thousand, the actual population could be any value with the last four digits from 0001 to 4999 (like 618,000) or from 5000 upwards (like 624,000).

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3 months ago
He dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period
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