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katrin2010 [14]
3 years ago
6

In this diagram, line segment CD is the

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

Point E is closer to point A

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the </em>

<em> diagram"</em>

- In this diagram, line segment CD is the  perpendicular bisector of line

 segment  AB

∴ AB ⊥ CD

∵ CD intersect AB at M

∴ M is the mid-point of AB

∴ The length of  AM = the length of MB

- Assume the conjecture that the set of  points equidistant from A

 and B is the  perpendicular bisector of AB is true

∴ Any point lies on the line CD equidistant from A and B

- <u><em>If point E lies on the line CD</em></u>

∵ CD is the perpendicular bisector of AB

∵ E lies on CD

∴ The length of EA = The length of EB

- <u><em>From the figure point E is on the left side of the line CD</em></u>

∵ Point A is on the left side of the line CD

∵ Point B is on the right side of the line CD

∵ Point E is on the left side of the line CD

∴ The length of AE < The length of BE

∴ Point E is closer to point A

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Twice jack’s age plus 5 is 21.write and solve an equation.how old is jack
Vedmedyk [2.9K]

Answer:

  8

Step-by-step explanation:

If j represents Jack's age, we have ...

  2j +5 = 21

  2j = 16 . . . . . . subtract 5

  j = 8 . . . . . . . . divide by 2

Jack is 8 years old.

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2 years ago
What is the absolute value of negative 15?<br><br> please answer this question fast.
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The absolute value of a number is the distance away from zero that number is.  The absolute value "gets rid" of the negative sign


|-15|=15

15 is the answer

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3 years ago
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Help me please it is math
Cloud [144]

Answer:

all of em cause they are all less than 12

Step-by-step explanation:

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3 years ago
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What is the translation of EFG with vertices E(3, 2), F(2, 5), G(−1, 2) by vector − − 1, 4 ?
sesenic [268]

Answer:

The correct answer is (4 , 6); (3 , 9); (0 , 6)

Step-by-step explanation:

In translation by a vector, we simply add or subtract the coordinates of a point with the vector to get the translated coordinates of the point.

Here the vector is 1 , 4.

Thus, the point E(3 , 2) would translate to ( 3+1 , 2+4) = ( 4 , 6 ).

The point F(2 , 5) would translate to ( 2+1 , 5+4) = ( 3 , 9 ).

The point G(-1 , 2) would translate to ( -1+1 , 2+4) = ( 0 , 6 ).

8 0
4 years ago
A certain group of test subjects had pulse rates with a mean of 75.2 beats per minute and a standard deviation of 11.2 beats per
bulgar [2K]

Answer:

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

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.

By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.

Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.

This means that \mu = 75.2, \sigma = 11.2

Is a pulse rate of 147.6 beats per minute significantly low or significantly​ high?

We have to find Z when X = 147.6. So

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

Z = \frac{147.6 - 75.2}{11.2}

Z = 6.46

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

3 0
3 years ago
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