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:
<u>2047.5 cubic inches</u>
Step-by-step explanation:
Volume of the storage chest :
<u><em>Length × Width × Height</em></u>
<u><em /></u>
============================================================
Given :
⇒ Length = 26 in.
⇒ Width = 7.5 in.
⇒ Height = 10.5 in.
===========================================================
Solving :
⇒ Volume = 26 × 7.5 × 10.5
⇒ Volume = 273 × 7.5
⇒ Volume = <u>2047.5 cubic inches</u>
(2,-3) because the 3 becomes a negative when transforming.
Please mark Brainliest
The answer is 17. 72
Step by step
0.02x^2 = 6.28
x^2 = 6.28 / 0.02
x^2 = 314
x= square root of 314
x = 17. 72
Answer:
x>13
Step-by-step explanation:
