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2 years ago

Find the measure or angle xyz

Mathematics

1 answer:

blagie [28]2 years ago

5 0

Answer:

The answer to your question is: 85°

Step-by-step explanation:

Data

m∠ xyz = 2m∠x - 9

m∠w = 38°

Process

∠x = (∠xyz + 9) / 2

∠ y = 180 - ∠xyz

∠w + ∠y + ∠x = 180

Substitution 38 + (180 - ∠xyz) + (∠xyz + 9) / 2 = 180

76 + 360 - 2∠xyz + ∠xyz + 9 = 360

Simplify

85 - 2∠xyz + ∠xyz = 0

85 = ∠ xyz

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Answer:

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2 years ago

1. Write an equation for a line that has a slope of 4 and passes

marishachu [46]

Answer:

y = 4x+23

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point into the equation

7 = 4(-4)+b

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Add 16 to each side

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2 years ago

a family is building a rectangular fountain in the backyard. the yard is rectangular and measures 8x by 9x. The fountain is goin

densk [106]

Teachers often all this problem a donut problem because it’s like the donut hole getting cut out of the middle. The way that you solve this is to find the area of the whole yard and subtract the area of the fountain. Since they are rectangles we’re going to use A = LW
Area of yard - Area of fountain
A = (8x)(9x) - (2x)(5x)
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A 62 x^2

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3 years ago

Read 2 more answers

Many people use scanners to read documents and store them into pdf file. To help determine which brand of scanner to buy, a stud

konstantin123 [22]

The data is missing in the question. The data is provided below :

Document : 1 2 3 4 5 6 7 8

Brand A 17 29 18 14 21 25 22 29

Brand B 21 38 15 19 22 30 31 37

Solution :

State of the hypothesis of the null hypothesis and alternate hypothesis.

Null hypothesis : $h_A = h_B$

Alternate hypothesis : $h_A > h_B$

These hypothesis is a one tailed test. The null hypothesis will get rejected when the mean difference between the sample means is very small.

Significance level = 0.05

Therefore the standard error is : $SE = \sqrt{(\frac{s^2_1}{n_1})+(\frac{s^2_2}{n_2})}$

= 3.602

And the degree of freedom, DF = 14

$t=\frac{(x_1-x_2)-d}{SE}$

= -1.319

Here, $s_1$ = standard deviation of the sample 1

$s_2$ = standard deviation of the sample 2

$n_1$ = size of the sample 1

$n_2$ = size of the sample 2

$x_1$ = mean of the sample 1

$x_2$ = mean of the sample 2

d = the hypothesis difference between the population mean

The observed difference in a sample means t static of -1.32. From t distribution calculator to determine P( $t \leq -1.32$ ) = 0.1042

Since the P value of 0.1042 is greater than significance level o 0.05, we therefore cannot reject the null hypothesis.

But from the test, we have no sufficient evidence that supports that Brand A is better than Brand B.

8 0

3 years ago

What is the slope of the line described 16x = 4y + 1

Dvinal [7]

Answer: The slope is 4x.

Step-by-step explanation: First, subtract 4y from both sides to get 16x-4y=1. Next, subtract 16x from both sides to get -4y=-16x+1. Finally, divide all terms by -4 to get y=4x-0.25. The slope is represented by 4x.

4 0

2 years ago