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tresset_1 [31]
4 years ago
12

What are the steps to construct parallel lines using a compass and straightedge?

Mathematics
1 answer:
nevsk [136]4 years ago
4 0

See if the distance between the two lines is consistent with a compass.

Make sure the lines intersect at right angles with the corner of a piece of paper.

Measure each of the angles with a straightedge.

There is no way to ensure you have constructed parallel lines.

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180 is 40 percent of what number?
fiasKO [112]
It is 40 percent of 450. You find the answer by dividing 180 by 40 then multiply it by 100 and get 450. Hope this helps!
8 0
3 years ago
Read 2 more answers
Amya received a scholarship for $250. She spent 1/5 the money on textbooks and 1/4 of the remainder on other school supplies. Ho
Yakvenalex [24]

Answer:

$150

Step-by-step explanation:

You do $250 divided by 1/5 which is 50 (you basically divide by the denominator if the fraction). Then, you subtract 50 from that which is 200. After, you take that 200 and divided that by 1/4 which is 50  (you basically divide by the denominator if the fraction). Last you subtract 50 from that and then there you have it you final answer is

$150

7 0
3 years ago
A high school is running a campaign against the over-use of technology in teens. The committee running the campaign decides to l
puteri [66]

Answer:

0.226, 0.374

Step-by-step explanation:

A high school is running a campaign against the over-use of technology in teens. The committee running the campaign decides to look at the difference in social media usage between teens and adults. and then Find a 90% confidence interval for the difference in proportions.

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1

They take a random sample of 200 teens in their city (Group 1) and find that 85% of them use social media,

p1 = x/n1

n1 = 200

x1 = 85% × 200 = 170

p1 = 170/200

p1 = 0.85

Group 2

Take another random sample of 180 adults in their city (Group 2) and find that 55% of them use social media.

p2 = x/n1

n2= 180

x2 = 55% × 180 = 99

p2 = 99/180

p2 = 0.55

z = z score for 90% Confidence Interval = 1.645

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

= 0.85 - 0.55 ± 1.645 √0.85(1 - 0.85)/200 + 0.55(1 - 0.55)/180

= 0.85 - 0.55 ± 1.645 √0.85(0.15)/200 + 0.55(0.45)/180

= 0.30 ± 1.645 × √0.0020125

= 0.30 ± 1.645 × 0.0448608961

= 0.30 ± 0.0737961741

Hence

= 0.30 - 0.0737961741

= 0.2262038259

= 0.30 + 0.0737961741

= 0.3737961741

Therefore, 90% confidence interval for the difference in proportions is (0.226, 0.374

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=g" id="TexFormula1" title="g" alt="g" align="absmiddle" class="latex-formula"> is a sequence.
tensa zangetsu [6.8K]

Answer:

geometric sequence

Step-by-step explanation:

if its used to replace a num than i geometric

4 0
3 years ago
Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom hav
goblinko [34]

Answer:

1/8 cup left

Step-by-step explanation:

Starts with 7/8

Uses 1/2 which equals 4/8

Then uses another 1/4 which equals 2/8

4/8+2/8 is 6/8 so he uses 6/8 of olive oil

He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8

8 0
3 years ago
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