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ra1l [238]
3 years ago
12

How do you do this and what is the answer

Mathematics
1 answer:
Talja [164]3 years ago
6 0
We know opposite angles in the parallelogram is congruent:

let x to be the unknown angle:

 360=2(110)+2x

360=220+2x

140=2x

x=70

ECF is also 110 because of parallel lines and corresponding angles:




110+x+y=180

110+30+y=180

y=40

so DAE is 40





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A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim
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Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

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Which of the following could be the lengths of the sides for a triangle that is
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Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit
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Answer:

For the type I error, it's option D

For the type II error, it's option B

Step-by-step explanation:

A) A type I error is when we reject the null hypothesis even if it is true.

Let's set up the two hypotheses;

Null Hypothesis:

H0: p = 0.15

It represents: "The proportion of people who write with their left hand is equal to 0.15."

Alternative Hypothesis:

H1: p ≠ 0.15

In English: "The proportion of people who write with their left hand is different from 0.15" i.e not equal to 0.15

If we make a type I error, then it means we reject H0 (the null hypothesis) and go with the alternative hypothesis (H1). However, the reality is that H0 was the true hypothesis all along.

Thus, we reject the claim that the The proportion of people who write with their left hand is equal to 0.15 when in reality the proportion is actually 0.15

This means the answer for the first part is Option D

B) A type II error is when we fail to reject the null and must "accept" the null; however, the reality is that the alternative hypothesis was the true hypothesis. Hence, making a type two error means we reject the second hypothesis and make a mistake in doing so.

If we make a type II error, then we fail to reject the claim that proportion of people who write with their left hand is equal to 0.15, when the proportion is actually different from 0.15

Thus, he answer is Option B

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