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emmainna [20.7K]
3 years ago
14

The following quadrilateral is a parallelogram.

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

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Points J and K are midpoints of the sides of triangle FGH. What is the value of y?
sashaice [31]
The answer 

the complement of the question is 

What is the value of y?

2
5
7
<span>8
</span>
According to the image, HKJ and FGH are similar, we can apply the theorem of thales
since GK and GF are parallels, so 

HK / HF = HJ / HG = KJ / GF and as we see on the figure, HK = HF /2, this implies  2HK =HF

HK / 2HK =  KJ / GF  it is equivalent to   1/2 = 2y+5 / 5y +3 

likewise, equivalent to  5y +3  = 4y +10, 5y-4y = 10-3, and y = 7


so the answer is 7




7 0
3 years ago
Read 2 more answers
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that \mu = 2.5, \sigma = 0.4

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.9 - 2.5}{0.4}

Z = -1.5

Z = -1.5 has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

3 0
2 years ago
calvin and 4 of his friends want to share 4 pounds of nuts equally.write an expression to show the fraction of the nuts each fri
PilotLPTM [1.2K]
4/5

The 4 is how many pounds of nuts there are and dividing by 5 shows that you are sharing the nuts equally amongst the 5 friends.
5 0
3 years ago
Are the population means different? yes or no explain
Dima020 [189]

Answer:

The comparison of two population means is very common. A difference between the two samples depends on both the means and the standard deviations. Very different means can occur by chance if there is great variation among the individual samples.

Step-by-step explanation:

This answer involves both Yes and No

5 0
3 years ago
A red light
ANEK [815]

Answer:

Both lights would flash together after every 30 seconds.

Step-by-step explanation:

6 = 2 * 3 and 10 = 2 * 5.

LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.

Therefore, both lights wold flash together after every 30 seconds.

3 0
3 years ago
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