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AVprozaik [17]
2 years ago
11

Which statement is true? Please help

Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

Answer:

D is correct.

Step-by-step explanation:

According to euclidean geometry we can draw one line per point of space that is parallel to another line. Also we know that in a triangle if we draw a line that connects the two middle points of two sides of the triangle, this line is parallel to the third side of the triangle. (This is a theorem so we already have a line parallel to ML for sure)

Which means that a line that connects the middle of LK (18/2 = 9) and the middle of MK(17/2=8.5) would be parallel to ML. However NO is indeed in the middle of LK but not in the middle of MK. If NO was parallel to ML then we would have two lines parallel to ML which would contradict the axiom of euclidean geometry that we said in the beginning.

Since we proved that NO isnt parallel to ML it is obvious that MLK and NOK are not same triangles(because they cannot have equal angles). So we discard sentences A,B and C while we proved that D is right.

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asma owns $52000 in student loans for college. if the loan will be repaid in 5.5 years and the interest rate charged is 6.75% th
Ahat [919]
I=$52,000 R=6.75% T=5.5 years P=$19,305
3 0
3 years ago
Your tea her will grade your response 4-8 to ensure you receive proper credit
svlad2 [7]

Answer:

k = 73

Step-by-step explanation:

The sum of all the angles in a triangle is  180  degrees.

62 °  +  k +  45 °  =  180

Solve the equation for k

Add  62 °  and  45 °

k +  107  =  180

Move all terms not containing  C  to the right side of the equation.

Subtract  107  from both sides of the equation.

k  =  180  −  107

Subtract

k  =  73

4 0
3 years ago
A man travels from town x to town y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour l
Georgia [21]

D/60 + D/50 = 2D/55 - 1/2

 find common denominator ( 3300)

3300/60 = 55

3300/50 = 66

3300/55=60

so then you get 55D +66D= 60(2D)-1650

121D=120D-1650

D=1650 miles

check

1650/60 =27.5, 1650/50 = 33,  27.5 + 33 = 60.5 hours total

1650/55 = 30, 30 x 2 = 60

60.5-60 = 0.5 longer

 so distance = 1650 miles

3 0
3 years ago
A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co
Firlakuza [10]

Answer:

Step-by-step explanation:

1) The z value was determined using a normal distribution table. From the normal distribution table, the corresponding z value for a 94% confidence interval is 1.88

The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

n = number of selected users = 50

Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

x = number of internet users

The formula for normal distribution is expressed as

z = (x - u)/s

We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

z = (25- 35)/3.24 = - 10/3.24 = -3.09

Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0
3 years ago
Look at the right triangle in the diagram
Ivahew [28]

Answer:

I would say C

Step-by-step explanation:

7 0
2 years ago
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