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°
28.26 is closest to 28 so you round 28.26 to 28, not 29.
I don’t think this will help exactly but I hope it does x
Answer:
Weight on the moon=x=15.87 kilograms
Step-by-step explanation:
This can be expressed as;
Weight on earth=Constant×Weight on moon
where;
Weight on moon=14.2 kilograms
Constant=k
Weight on Earth=85 kilograms
Replacing in the expression above;
85=14.2×k
k=(85/14.2)=5.986
If the person weighs 95 kilograms on Earth;
Weight on the earth=Constant×Weight on moon
where;
Weight on the moon=x
Constant=5.986
Weight on the earth=95 kilograms
Replacing;
95=5.986×x
x=95/5.986=15.87
Weight on the moon=x=15.87 kilograms
Answer:
The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by pi and then multiply that by 4. This is written algebraically as S=4πr2, where S is the surface area, r is the radius, and the value of π is 3.14.
