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2 years ago

In this figure AB||CD and m<1=120°What is m<5?

Mathematics

1 answer:

mars1129 [50]2 years ago

3 0

Answer:

120 degrees

Step-by-step explanation:

Angle 1 is congruent to angle 5 by the corresponding angles theorem.

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Doris uses 6 square pieces of fabric to make one scarf. Each side of a square piece of fabric is one third yard in length. Doris

brilliants [131]

Answer:

5 large pieces of fabric.

Step-by-step explanation:

Length of each side of a square piece of fabric = $\frac{1}{3}$ yard

Area of a Square = Length X Length

Area of one square piece of fabric = $\frac{1}{3}$ X $\frac{1}{3}$ = $\frac{1}{9}$ square yard.

To make one scarf, Doris uses 6 square pieces.

Area of one scarf = $6 X \frac{1}{9}= \frac{6}{9}=\frac{2}{3}$ square yard

Each large pieces of fabric is one-third yard long and 2 yards wide.

This is clearly a rectangle,

Area of a Rectangle = Length X Width

Area of each large piece of fabric= $\frac{1}{3}X 2=\frac{2}{3}$ square yard.

Since the Area of one scarf is equal to the area of each large piece of fabric, in order to make 5 scarves, Doris would need 5 large pieces of fabric.

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3 years ago

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Suppose the FAA weighed a random sample of 20 airline passengers during the summer and found their weights to have a sample mean

Orlov [11]

Answer:

Step-by-step explanation:

Given Parameters

Mean, $x$ = 180

total samples, n = 20

Standard dev, $\sigma$ = 30

$\alpha$ = 1 - 0.95 = 0.05 at 95% confidence level

Df = n - 1 = 20 - 1 = 19

Critical Value, $t_\alpha$ , is given by

$t_{c}=t_{\alpha, df} = t_{0.05,19} = 1.729$

a).

Confidence Interval, $\mu$ , is given by the formula

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 1.729 \times \frac{30}{\sqrt{20} }$

$\mu = 180 +/-11.5985$

$191.5985 > \mu > 168.4015$

b).

Critical Value, $t_{\alpha/2}$ , is given by

$t_{c}=t_{\alpha/2, df} = t_{0.05/2,19} = 2.093$

Confidence Interval, $\mu$ , is given by

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 2.093 \times \frac{30}{\sqrt{20} }$

= 180 +/- 14.0403

= 165.9597 < $\mu$ < 194.0403

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3 years ago

Easiest way to make a ratio into percentage <br>

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Answer:

To convert a ratio into the form of a percentage

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Of the 16 people attending a seminar, 2 have blond hair.

pentagon [3]

Answer:

1/8

Step-by-step explanation:

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3 years ago

220 is 20% of what number? Explain

Kitty [74]

0.20a=220

Where 0.20 is the decimal form of 20%
a is the unknown number

0.20a=220
------- -----
0.20 0.20
a=1100

220 is 20% of 1100.

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In this figure AB||CD and m<1=120°What is m<5? ​

In this figure AB||CD and m<1=120°What is m<5?