A large farm wants to try out a new type of fertilizer to evaluate whether it will improve the farm’s corn production. The land
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Answer:
m∠QPM=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠NPQ=m∠MPN+m∠MPQ
we have
m∠NPQ=(9x-25)°
m∠MPN=(4x+12)°
m∠MPQ=(3x-5)°
substitute the given values and solve for x
(9x-25)°=(4x+12)°+(3x-5)°
(9x-25)°=(7x+7)°
9x-7x=25+7
2x=32
x=16
Find the measure of angle QPM
Remember that
m∠QPM=m∠MPQ
m∠MPQ=(3x-5)°
substitute the value of x
m∠MPQ=(3(16)-5)=43°
therefore
m∠QPM=43°
Answer:
60.36 steps West from centre
85.36 steps North from centre
Step-by-step explanation:
<em>Refer to attached</em>
Musah start point and movement is captured in the picture.
- 1. He moves 50 steps to North,
- 2. Then 25 steps to West,
- 3. Then 50 steps on a bearing of 315°. We now North is measured 0°
or 360°, so bearing of 315° is same as North-West 45°.
<em />
<em>Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.</em>
<u />
<u>How far West Is Musah's final point from the centre?</u>
- 25 + 50/√2 ≈ 60.36 steps
<u>How far North Is Musah's final point from the centre?</u>
- 50 + 50/√2 ≈ 85.36 steps
