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3 years ago

Do same-side interior angles have to be on the same (in this case) horizontal line?

Mathematics

2 answers:

Romashka [77]3 years ago

6 0

if the horizontal lines are all parallel, then yes, as long as the angles are on the same side. If the horizontal lines are parallel but the angles are on opposite sides, then no. If the horizontal lines are not parallel, then it would require more work to figure it out

jolli1 [7]3 years ago

4 0

Yes because it’s called same side interior so same lineee

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stira [4]

Answer: The angle equals 45 ∘ and the supplement is 135 ∘

Explanation:

Since the supplement is three times the angle, we can say s = 3 a

Since we know the supplement is

180 − a , we can plug that in.

180 - a = 3a

180 = 4 a (add a to both sides)

45 = a (divide both sides by 4)

Since we know the angle now, all we have to do is multiply it times 3 to find the supplement.

45 × 3 = 135

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3 years ago

A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu

julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/ $\sqrt{1492}$

=0.14

So the lower value will be x-M

=8.8-0.14

=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

=8.94

Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

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