Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
Answer:
d(x) = 175 - |175 - 25x|
Step-by-step explanation:
Suppose I plan to ride your bicycle from Portland Oregon to Seattle Washington and back to Portland.
Portland and Seattle are 175 miles apart. I plan to travel 25 miles every day.
If we consider the starting point i.e. Portland as the zero distance i.e. reference, then we can model the distance from Portland d(x) as
d(x) = 175 - |175 - 25x|
where x is the number of days into the ride. (Answer)
7.6x = 64
x = 64/7.6
x =
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8.4210526316
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So, 3.05 is NOT the solution
