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3 years ago

6

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statemen

t.

1 answer:

astraxan [27]3 years ago

5 0

Answer:

angle BEC is congruent to angle FEG (vertical opposite angles)

other than that, I'm not sure if the other angles are congruent bc of their marks.

Step-by-step explanation:

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Need help as soon as possible!

qaws [65]

<u>ANSWER</u>=<u>5.2</u>

<u />

<u>EXPLANATION</u>

This triangle shows a example of the Pythagorean Theorem, which means the equation is gonna be

a^2+b^2=c^2

The variables <u>a </u>and <u>b </u>are the straight sides of the triangle, while the variable <u>c </u> is the curved side on the triangle, or what we are trying to find in this question.

Firstly let’s take the two sides that already have a number shown, also known in the Pythagorean Theorem as sides <u>a </u>and <u>b</u>.

2^2+4.8^2=c^2

Now we want to square the two given numbers to get the equation

4+23.04=c^2

Now we add the two given numbers that we have now squared to get the equation

27.04=c^2

The final step will now be to take the number (27.04) and square root it, which should give you the answer, <u>5.2</u>

6 0

3 years ago

Can someone help me work through this ??

S_A_V [24]

The interpretation of the solution is that there are 15 true/false questions and 5 multiple choice questions.

3 0

3 years ago

You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre

ra1l [238]

Answer:

1) Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

$\bar X=640$ represent the sample mean

$\sigma=150$ represent the population standard deviation

$n=40$ sample size

$\mu_o =500$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Step1:State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:

Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

Step 2: Calculate the statistic

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

We can replace in formula (1) the info given like this:

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0

3 years ago

You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?

nekit [7.7K]

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0

4 years ago

Restrictions for 9/2x, 5x/8

brilliants [131]

Answer: hummmm let me think it is 14x 40x

Step-by-step explanation:

8 0

4 years ago