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2 years ago

The triangles shown are congruent by the SSS congruence theorem.

Mathematics

2 answers:

Keith_Richards [23]2 years ago

6 0

Answer:

B. Rotation, then Translation, then Reflection

Step-by-step explanation:

I got the answer right on Ingenuity.

The site doesn't let me put Ingenuity with an E instead of an I at the front.

denis23 [38]2 years ago

3 0

1. Let's check the problem backwards. So let's map A"B"C" to ABC

2. We first need to reflect A"B"C" to A"B"C' with A"B"" as the axis of rotation.

3. Then we shift a few units up (translation) A"B"C' to A'B'C

4. Finally we rotate A'B'C around C to map the triangle onto ABC

going backwards we get the answer: b

b.rotation, then translation, then reflection

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Answer:

a=11.625

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Step-by-step explanation:

The first answer is if the -13. means -13 multiplied by 4a and the second one is if 4a=33.5 without the -13.

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2 years ago

You are a state inspector for the Division of Weights and Measures. Your responsibility is to be sure the net weight found on al

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Answer:

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Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the boxes of dog food are being under filled.

Then, the null and alternative hypothesis are:

$H_0: \mu=32\\\\H_a:\mu< 32$

The significance level is 0.02.

The sample has a size n=200.

The sample mean is M=31.7.

The standard deviation of the population is known and has a value of σ=2.2.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{2.2}{\sqrt{200}}=0.156$

Then, we can calculate the z-statistic as:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{31.7-32}{0.156}=\dfrac{-0.3}{0.156}=-1.928$

This test is a left-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z$

As the P-value (0.027) is bigger than the significance level (0.02), the effect is not significant.

The null hypothesis failed to be rejected.

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2 years ago

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Answer:

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Step-by-step explanation:

To use the law of sines we need to know two angles and one side or two sides and one angle which should be opposite to one of known sides.

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AAS - two angles and non-included side, able to find the missing angle solve the rest
ASA - two angles and the included side, able to find the missing angle solve the rest
SAS- two sides and the included angle, unable to solve
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Answer:

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Step-by-step explanation:

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