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Fiesta28 [93]
4 years ago
14

Can somebody help with this geometry question please

Mathematics
2 answers:
vova2212 [387]4 years ago
6 0

Answer:

X=25

3x-10=65

x+40=65

Step-by-step explanation:

klio [65]4 years ago
4 0

Answer:

25, 65, 65

Step-by-step explanation:

So first off, we should know that corresponding angles are congruent (equal). (3x-10) and (x+40) are corresponding angles.

So, because of this we set these two equal. 3x-10=x+40

Do the algebra. Subtract x on both sides and add 10 on both sides.

This gives you 2x = 50.

Divide by 2 on both sides.

This gives you x=25

Great. Now we know what x is, so x=25 Now we have to plug this in.

3(25) - 10 = 65

25+40 = 65

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3 years ago
Sarah and Joe are seeking to join a gym. Sarah saw on television that Great Gym is offering membership at $19.50 per month, plus
inna [77]
Set up an equation for both Sarah and Joe.

Sarah's equation would be 59+19.50x=y

Joe's Equation would be 149+9.50x=y

The goal is to get y to equal the lowest number. If we plug in 1 for x for both equations we get:

59+19.50(1)=y for sarah and Joes would be 149+9.50(1)=y.

Sarah would pay $78.50 for her 1st month and Joe would pay $158.5 for his 1st month. Sarah pays much less than joe but over a few months Sarah would pay more eventually. Hope I helped and if you have any questions, just leave a comment.
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A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are dri
Minchanka [31]

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.

The standard errors are given by:

s_A = \frac{1.79}{\sqrt{18}} = 0.4219

s_B = \frac{1.95}{\sqrt{18}} = 0.4596

For the distribution of differences, the <u>mean and the standard error</u> are given by:

\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76

s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239

The interval is given by:

\overline{x} \pm ts

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.

Then:

\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058

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The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

3 0
3 years ago
Graph the functions as transformations of f ( x ) = x
ivolga24 [154]
Since the functions are not included, I can help you with some examples and a  general explanations which will help you to solve this kind of problems.


1) Assumption: all the functions that are considered are linear.


That means that f(x) = x is the parent function, and you can obtain the other functions by a set of transformations (translation and scalation) of the parent function.

2) Example 1: y = x + a


This is a special case of adding a constant to the function.

In this case, the graph of the new function is the graph of the parent function shifted a units upward.

3) Example: y = 5x

This is a special case of multiplying the function times a constant.

The result is streching the graph vertically by the same scale factor.

4) Example: y = (1/5)x - 8

In this case, the graph of y is obtained by scaling the parent function f(x) = x by 1/5 (which results in compressing the parent function vertically) and shifting the parent function 8 units downward.
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3 years ago
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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

sin 40° = \frac{b}{20} ( multiply both sides by 20 )

20 × sin 40° = b, hence

b = AC = 20 × sin 40° = 12.9


6 0
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