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sleet_krkn [62]
3 years ago
15

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which ar

e the midpoints of segments
AB

and

CD

, respectively. Fill in the blanks of the Statement/Reason solution.


Statement Reason

1. AM = BM = AB 2 =_____ cm 1. ____________________

2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint

3. MN = MB + ______ + CN 3. ____________________

4. MN = ________ cm 4. Algebra
Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

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Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

5 0
3 years ago
N squared plus 11n plus 28
kotegsom [21]
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6 0
3 years ago
(take π=22/7). height of trapezium with parallel sides 6cm and 8cm and 63cm2.​
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Answer:

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We know:

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⇒39.6 =2×

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×r⇒

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Also,

Area of the circle = πr2

=

22

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×6.3×6.3=124.74 cm2

Step-by-step explanation:

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