Ask question

Ask question

All categories

erma4kov [3.2K]

3 years ago

13

In the triangles below, DF is congruent to MN,DG is congruent to MP, angle d is congruent to angle p. Can you prove that triangl

e dfg is congruent to mnp

1 answer:

olga nikolaevna [1]3 years ago

4 0

<h2>Answer:</h2>

Definitely we can't prove that triangle DFG is congruent to MNP. The reason is because the angles that are congruent don't match the corresponding vertex, that is, the corresponding vertices of these triangles are as follows:

D is corresponding to M

F is corresponding to N

G is corresponding to P

But the angle we know in the first triangle lies on vertex D while on the second triangle the angle lies on vertex P but it should lies on vertex M, so we'd prove they are congruent by Side-Angle-Side Postulate (SAS).

You might be interested in

Can some one please help . Thanks I appreciate it.

Anon25 [30]

Here you go.

Good luck!

5 0

4 years ago

4.One attorney claims that more than 25% of all the lawyers in Boston advertise for their business. A sample of 200 lawyers in B

AleksAgata [21]

Answer:

$z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123$

$p_v =P(Z>2.123)=0.0169$

The p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .

Step-by-step explanation:

1) Data given and notation

n=200 represent the random sample taken

X=63 represent the lawyers had used some form of advertising for their business

$\hat p=\frac{63}{200}=0.315$ estimated proportion of lawyers had used some form of advertising for their business

$p_o=0.25$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that more than 25% of all the lawyers in Boston advertise for their business:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z>2.123)=0.0169$

The p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .

8 0

4 years ago

The perimeter of a rectangular window is 43 feet. The width of the window is 5 ft more than the length. Find the width of the wi

Greeley [361]

Answer:

13.25 ft

Step-by-step explanation:

Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...

P = 2(L+W)

43 = 2((w-5) +w) = 4w -10

53/4 = w = 13.25 . . . feet

The width of the window is 13.25 ft.

8 0

3 years ago

Read 2 more answers

I don't understand this I have spent many points on this same question so this time I will be giving brainliest for the first co

Marrrta [24]

Given:

$|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|$

Solution:

Complex formula:

$|a+b i|=\sqrt{(a+b i)(a-b i)}=\sqrt{a^{2}+b^{2}}$

Let us simplify one by one.

$|3+4 i|=\sqrt{3^{2}+4^{2}}$

$=\sqrt{25}$

|3 + 4i| = 5

$|3-4 i|=\sqrt{3^{2}+(-4)^{2}}$

$=\sqrt{25}$

|3 - 4i| = 5

$|-3+4 i|=\sqrt{(-3)^{2}+4^{2}}$

$=\sqrt{25}$

|-3 + 4i| = 5

$|-3-4 i|=\sqrt{(-3)^{2}+(-4)^{2}}$

$=\sqrt{25}$

|-3 - 4i| = 5

Substitute these in the given expression:

$|3+4 i|+|3-4 i|+|-3+4 i|+|-3-4 i|=5+5+5+5$

$=20$

The solution of the expression is 20.

8 0

3 years ago

What is the value of x

jok3333 [9.3K]

Answer:

60

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

8 0

3 years ago