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3 years ago

Are the two triangles below similar ?

Mathematics

2 answers:

Strike441 [17]3 years ago

6 0

Answer:

No because the bottom one is an acute triangle but the top one is obtuse.

Hope this helped! :3

forsale [732]3 years ago

6 0

Answer:

Hi there!

The answer to this question is: yes they're indeed similar

Step-by-step explanation:

As you can see both triangle have 30 degrees on the bottom corner of the triangle.

Then if you look at triangle ABC, they give you angle ACB which is 65 degrees. Using the triangle sum theorem you can figure out the measure of the last angle is 85. This angle corresponds with angle FED on the smaller triangle. Then if you look at both side AC and side FD they are half each others length therefore they are similar

You might be interested in

The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns

romanna [79]

Answer:

If we compare the p value and the significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=1440$ represent the mean annual premium value for the sample

$s=165$ represent the sample standard deviation for the sample

$n=25$ sample size

$\mu_o =1503$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1503$

Alternative hypothesis: $\mu < 1503$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=25-1=24$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(24)}$

Conclusion

7 0

3 years ago

Choose the right answer.

kramer

Answer:

In this section, we discuss box-and-whisker plots and the five key values. The key values are called a five-number summary, which consists of the minimum, first quartile, the set is put into increasing order, divides the data into two equal parts. First, we put the values in the data set into increasing order: 3, 5, 7, 8, 12, 13, the middle score for a set of data that has been arranged in order from least to greatest. A box-and-whisker plot shows the distribution of a set of data along with... Quartiles are values that divide a set of data into four equal parts. The second Quartile ( designated Q2) also called the median or the 50th percentile (cuts data set in half ).

Step-by-step explanation:

5 0

2 years ago

What is the mean of 20, 37, 43, 54, 83, 102, 117, 160, 208?

Alekssandra [29.7K]

Answer is 91.56 You add all the numbers up and divide by 9(There are 9 numbers in the sequence).

6 0

3 years ago

A radio is being discounted 40%. If the sale price of the radio is $31.02, what was the original price of the radio?

kobusy [5.1K]

Answer:

$51.70 is the original price

Step-by-step explanation:

Step 1:

Turn 40% into a decimal which makes it 0.40

ex. 50% would be 0.50, 5% would be 0.05 etc.

Step 2:

Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price

x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,

Solving the left side of our equation gives us 1x - 0.40x = 0.60x

so now you have: 0.60x = 31.02

Step 3:

Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70

8 0

3 years ago

Two dice are rolled. Define the events as follows: A : sum of 7, B : doubles, C : sum of 8

love history [14]

Answer: for a sum of 7 would either be 6 and 1, 5 and 2 or 4 and 3. you can roll a double 1,2,3,4,5,6. the sum of 8 would be 2 and 6, 3 and 5 and a double 4,

Step-by-step explanation:

well the there are six sides on a die so 6 x 2 is 12 so the max sum you can get is 12. So you take 7 and you start adding up to 7, same thing for sum of 8. since there is 6 sides and a pair of dices you will roll six doubles

5 0

2 years ago

Are the two triangles below similar ?​

Are the two triangles below similar ?