All categories

3 years ago

Which of the following pairs of angles are congruent? ( Answer as soon as possible)

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

Answer:

C. <w and <y

Step-by-step explanation:

<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.

<w and <y are also corresponding angles and are therefore also congruent.

<x and <z are congruent also based on the vertical angles theorem.

<t and <z are alternate exterior angle, and are therefore congruent also.

So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:

<w and <y

You might be interested in

Find the outlier of the set of data: 24, 37, 33, 31, 28, 25, 33, 12

natka813 [3]

Outlier - A value that "lies outside" than most of the other values.

The outlier is therefore 12, because it is not in the general range of values, which is on average around 29.

8 0

3 years ago

Read 2 more answers

Evaluate x6 + y(-9)<br> When x= -2, y = 4

11111nata11111 [884]

Answer:

the answer is -48. _______

4 0

3 years ago

Prove Theorem 3: Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of si

RoseWind [281]

Answer:

The proof is given below.

Step-by-step explanation:

Given the two triangles which are similar we have to prove that the ratio of their angle bisectors and the side or we can say that the ratio of their altitude are proportional.

In ΔABP and ΔDEQ

∠1=∠2 (Given)

∠3=∠4 (each 90°)

By AA similarity rule ΔABP≅ΔDEQ

As if the two triangles are similar then their corresponding sides are proportional

⇒ $\frac{AB}{DE}=\frac{AP}{DQ}=\frac{BP}{EQ}$

Hence, Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of altitude.

5 0

3 years ago

Thomas made 8700mL of tomato soup. He packed 1.6L of the soup in his kids' lunches. He then froze half of the remaining soup. Ho

Nitella [24]

Let's convert the 8700mL to L so that we can use the information in the problem more easily and swiftly. Since 1000mL is the same thing as 1L, we can say that 8700 mL of tomato soup is equal to 8.7L of tomato soup.

First, we know that he removed 1.6L to put in his kids' lunches. Thus, we now have 7.1L remaining. Now, we know that he froze half of this. Half of 7.1L is 3.55L (7.1L/2 = 3.55L), which means that he froze 3.55L. Finally, we will need to convert this back to mL. Since 1L is equal to 1000mL, we can multiply 3.55 by 1000 to get 3550mL.

5 0

4 years ago

Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim

andreev551 [17]

Answer:

$p_v =P(t_{74}$

If we compare the p value and a significance level for example $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.

Step-by-step explanation:

Data given and notation

$\bar X=18.81$ represent the average lateral recumbency for the sample

$s=8.4$ represent the sample standard deviation

$n=75$ sample size

$\mu_o =20$ 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 apply a left tailed test.

What are H0 and Ha for this study?

Null hypothesis: $\mu \geq 20$

Alternative hypothesis : $\mu < 20$

Compute the test statistic

The statistic for this case 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:

$t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227$

The degrees of freedom are given by:

$df=n-1=75-1=74$

Give the appropriate conclusion for the test

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

$p_v =P(t_{74}$

Conclusion

3 0

3 years ago