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stiv31 [10]
2 years ago
13

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFractio

n.
Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.

Jose also has to state that
Mathematics
1 answer:
stich3 [128]2 years ago
7 0

The other equality which must be stated by Jose is that angles BAC and BAE are congruent and their measures are equal.

<h3>What other congruence statements must Jose state?</h3>

It follows from the task content that Jose is trying to prove the congruence of both triangles by means of the Side-Angle-Side congruence theorem.

It therefore follows that since, Jose has identified that the ratio of corresponding sides are equal as indicated in the task content, the equality which Jose has to state is the angle congruence equality.

Read more on congruence theorem;

brainly.com/question/3168048

#SPJ1

You might be interested in
Help me pleasee !!!!
Daniel [21]

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) y=\frac{3}{5} x +5

10) y = x - 3

11)  y=-\frac{3}{5} x - 3

12) y=\frac{5}{4} x + 2

these are the slop int forms, my bad...

sorry

3 0
2 years ago
Read 2 more answers
I have to solve this: (2x + 2/5)+(5x-4/5) and then simplify it.
joja [24]

Answer:

 35x - 2

 ———————

    5                  

i hope this helps

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a
tigry1 [53]

Answer:

SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58

ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073

\bar X - ME = 237- 14.073 = 222.927

\bar X + ME = 237+ 14.073 = 251.073

n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238

So the answer for this case would be n=238 rounded up to the nearest integer

Null hypothesis:\mu \geq 247  

Alternative hypothesis:\mu  

z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165  

p_v =P(z  

If we compare the p value and the significance level given \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, and we can't conclude that the true mean is lower than 247 at 10% of significance.

Step-by-step explanation:

For this case we have the following data given:

\bar X =237 represent the sample mean

\sigma = 47 represent the population deviation

n =30 represent the sample size selected

\mu_0 = 247 represent the value that we want to test.

The standard error for this case is given by:

SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58

For the 90% confidence the value of the significance is given by \alpha=1-0.9 = 0.1 and \alpha/2 = 0.05 so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:

z_{\alpha/2}= 1.64

And the margin of error would be:

ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073

The confidence interval for this case would be given by:

\bar X - ME = 237- 14.073 = 222.927

\bar X + ME = 237+ 14.073 = 251.073

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238

So the answer for this case would be n=238 rounded up to the nearest integer

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, the system of hypothesis would be:  

Null hypothesis:\mu \geq 247  

Alternative hypothesis:\mu  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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

z-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:  

z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165  

P-value  

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

p_v =P(z  

Conclusion  

If we compare the p value and the significance level given \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, and we can't conclude that the true mean is lower than 247 at 10% of significance.

5 0
3 years ago
What is the X<br> 3x +15 and 2x + 20
Georgia [21]

Answer:

<h2><u><em>x = 5</em></u></h2>

Step-by-step explanation:

What is the X

3x +15 and 2x + 20

assuming that the question is an equation

3x + 15 = 2x + 20

3x - 2x = 20 - 15

x = 5

-----------------

check

3 * 5 + 15 = 2 * 5 + 20

30 = 30

the answer is good

5 0
2 years ago
Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6
Soloha48 [4]
Given:
1st term = 11
common difference = 6

f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.

Row
<span> <span> </span><span><span> 1              11    11  
</span><span>2       11     6    17
</span> <span> 3       17     6    23
</span> <span> 4       23     6    29
</span> <span> 5       29     6    35
</span> <span> 6       35     6    41
</span> <span> 7       41     6    47
</span> <span> 8       47     6    53
</span> <span> 9       53     6    59
</span> <span> 10     59     6    65
</span> <span> 11     65     6     71
</span> <span> 12     71     6     77
</span> <span> 13     77     6     83
</span> <span> 14     83     6     89
</span> <span> 15     89     6     95
</span> <span> 16     95     6    101
</span> <span> 17   101     6    107
</span> <span> 18   107     6    113 </span></span></span>
6 0
3 years ago
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