A test has 10 true/false questions. How many different tests can be turned in to the teacher?
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with 10 binary bits: 1,024
1 - 2
2 - 2
3 - 2
4 - 2
5 - 2
6 - 2
7 - 2
8 - 2
9 - 2
10 2 There can be 20 different tests.
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- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.
Answers
Answer:
45 degrees
Step-by-step explanation:
If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8
LN = sqrt(HN^2 + LH^2) -->
LN = sqrt89 sqrt(8^2 + LH^2) -->
89 = 64 + LH ^2 -->
25 = LH^2 -->
LH = 5
Because HN = 8, HK = 13 - 8 = 5
That makes both legs equal, which makes m∠LKN = 45 degrees
The angle m∠LKN is equal to 45 degrees.
To understand more, check below explanation.
Trapezoid :
It is given that,
KL = MN, LM =3 , KN = 13 and LN
So that, HN = 13 - (13-3)/2 = 13 - 5 = 8
Since, HN = 8. So that, HK = 13 - 8 = 5
In a triangle, if two sides are equal. Then, opposite angle of both sides are also equal.
In triangle LKH, LH = HK = 5 and
So that, m∠LKN = 90/2 = 45 degree.
Hence, the angle m∠LKN is equal to 45 degrees.
Learn more about the trapezoid here:
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Hope this helps!
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Answer:
The ordered pair (-4,-6) is in the 3rd quadrant
Step-by-step explanation:
If we have an ordered pair (a,b), they would fall in:
- 1st quadrant: if a and b are positive
- 2nd quadrant: if a is negative and b is positive
- 3rd quadrant: if a and b are negative
- 4th quadrant: if a is positive and b is negative
Then, taking into account that -4 and -6 are negative numbers, the ordered pair (-4,-6) belong to the 3rd quadrant
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50 + 30 = 80
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3x+11=10
minus 11 both sides
3x=-1
divide by 3 boths ides
x=-1/3
one solution
Point
Ray
Line
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Explanation:
The definition of angle is "a figure formed by two rays that share a common endpoint." There are three "undefined terms" in geometry: point, line and plane. The only of these 3 needed for the definition of angle is point.