Number 1 I need help with confused
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The answer is 9630900.
OL
⊥
ON
start overline, O, L, end overline, \perp, start overline, O, N, end overline
\qquad m \angle LOM = 3x - 15^\circm∠LOM=3x−15
∘
m, angle, L, O, M, equals, 3, x, minus, 15, degrees
\qquad m \angle MON = 5x - 23^\circm∠MON=5x−23
∘
m, angle, M, O, N, equals, 5, x, minus, 23, degrees
Find m\angle MONm∠MONm, angle, M, O, N:
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Segments LO and ON are perpendicular, providing the required
information for the value of the sum of ∠LOM and ∠MON.
- m∠MON is 57°
Reasons:
The given parameter are;
is perpendicular to
;
m∠LOM = (3·x - 15°)
m∠MON = (5·x - 23°)
Required:
Find m∠MOM
Solution:
Given that is perpendicular to
, we have;
m∠LON = 90° by definition of perpendicular lines
m∠LON = m∠LOM + m∠MON by angle addition postulate
Therefore;
m∠LOM + m∠MON = 90° by substitution property of equality
Which gives;
(3·x - 15°) + (5·x - 23°) = 90° by substitution property
8·x - 38° = 90°
x = 16°
m∠MON = 5·x - 23°
m∠MON = 5 × 16° - 23° = 57°
- m∠MON = 57°
Learn more here:
Answer:57
Step-by-step explanation:
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80%=80/100=8/10=0.8
'of' can be translated to as multiply
0.8 times x games is 32 games
0.8 times x=32
note:0.8x= 0.8 times x
0.8x=32
multiply both sides by 10
8x=320
divide both sides by 8
x=40
the number is 40
We need a proportion to solve that answer.
So put the "is" part, which is 32 on top on the left over the "of" part, which is what you do not know, so put x as a variable. Now put 80% since it's the percentage over 100 on the right side. Now, it should look like this: 32/x=80/100(you do not need to include the % sign). Now cross multiply and you get: 80x=3200. Now divide 80 on both sides and you get 40. So there would be 40 games.
Hope this helps. :-)
PS I'm sure glad I learned about proportions to help. (I hope I did)
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Answer:
15
Step-by-step explanation:
Answer:
The answer should be 15.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Surface area is 2(πr²) + 2πrh. The first includes the top and bottom; the second is the area of lateral sides of the cylinder (radius r and height h).
The volume of this cylinder is V = πr²h.
Answer:
2 pi r square + pi dh
Step-by-step explanation:
2 pi r square + pi dh
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first find the number that has the same variables
=8s - 5s= 3s
6t-2t=4t
the answer is 3s +4t