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Mazyrski [523]
3 years ago
13

Statement Reason The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula Length of s

egment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula Segment DE is half the length of segment AC Slope of segment DE is −2 and slope of segment AC is −2 By the slope formula Segment DE is parallel to segment AC Slopes of parallel lines are equal Which of the following completes the proof?

Mathematics
2 answers:
malfutka [58]3 years ago
8 0

so what is the asnwer if these are the choices

1 By definition of congruence

2Addition property of equality

3By construction

4By the slope formula


Statement Reason

The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula

Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula

Segment DE is half the length of segment AC By substitution

Slope of segment DE is −2 and slope of segment AC is −2  

Segment DE is parallel to segment AC Slopes of parallel lines are equal


Which of the following completes the proof?


hodyreva [135]3 years ago
7 0
The most logical order is:
- The coordinates of point D and E by the midpoint formula.
- Slope of segment DE and slope of segment AC.
- Segment DE is parallel to segment AC. Slopes of parallel lines are equal.
- Length of segment DE and length of segment AC by the distance formula.
- Segment DE is half the length of segment AC by the substitution.
Answer: <span>B ) III, V, II, IV, I. Hope this helps </span>

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Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi
miss Akunina [59]

Answer:

Mean = 0, Standard deviation = 1

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 77.5 beats per minute

Standard Deviation, σ = 11.6 beats per minute

We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Putting the values, we get,

z_{score} = \displaystyle\frac{x-77.5}{11.6}

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.

Mean = 0, Standard deviation = 1

7 0
3 years ago
65 POINTS!!! The price of an Ipad is $499. It is on sale for 18% off at the Apple Store on Mac Monday's. Find the Sales price yo
sineoko [7]

Answer:

The student added the discount instead of subtracting the discount.

They also did not calculate the tax correctly.

Step-by-step explanation:

Original price is 499

Discount = original price * percent off

Discount = 499 * .18

               =89.82

The sale price = original price minus the discount

sale price = 499-89.82

sale price = 409.18

Sales tax = sale price * tax rate

                = 409.18 * 8.875%

                =409.18*.08875

                 =36.314725

Rounding to the nearest cent

                     36.31

Final cost = sale price + sales tax

                  =409.18+36.31

                   445.49

The student added the discount instead of subtracting the discount.

They also did not calculate the tax correctly.

6 0
3 years ago
MN and KL are parallel. If JM = 6, MK = 12, and LN = 18, what is NJ?
Galina-37 [17]
6/12=X/18
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Answer: NJ=9
5 0
3 years ago
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Vesnalui [34]

Answer:

X= 7

Step-by-step explanation:

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2x+2+3x-6=31 Continue to combine x's

5x+2-6=31  Combine whole numbers

5x-4=31  Add 4 to both sides

5x=35 Divide by 5

x=7

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2 years ago
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5 0
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