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inn [45]
3 years ago
7

Proving the Converse of the Parallelogram Side Theorem

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

statement

the sum of two adjacent angle of a triangle is 180° . prove that sides are parallel.

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Write the average of y numbers. Is 22 the numbers 20, 17, 24, 18, 29 and x. find x
Elena L [17]
22 is the average of the numbers 20,17,24,18,29, and x is what I guess the qusetion is

count them
6 numbers

(20+17+24+18+29+x)/6=22
(108+x)/6=22
times both sides by6 to clear fraction
108+x=132
minus 108 from both sides
x=24
3 0
3 years ago
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d
Vsevolod [243]

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

3 units left and 2 units down

that means

(x,y)-------> (x-3,y-2)

so

In the function f(x) the point (0,0) is equal at the point  (-3,-2) in the function g(x)

therefore

the function g(x) is equal to

g(x)=f(x+3)-2

g(x)=(x+3)^{3} -2

<u>The answer is</u>

a) the rule of the translation is (x,y)-------> (x-3,y-2)

b) The graph in the attached figure


5 0
3 years ago
Need help with the answer please and thank you <br> NO LINKS!<br> Have a nice day
KIM [24]

Answer: 188+22x=518 (c)

Step-by-step explanation:

7 0
3 years ago
The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes
Nana76 [90]

Answer:

Original claim is \mu_{1} =\mu_{2}

Opposite claim is \mu_{1} \neq \mu_{2}

Null and alternative hypotheses:

H_{0}:\mu_{1} = \mu_{2}

H_{1} : \mu_{1} \neq \mu_{2}

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

\bar{x_{1}}=70.29

Sx1=22.09

n_{1} = 30

\bar{x_{2}}=74.26

Sx2=18.15

n_{2} = 32

\mu_{1} \neq \mu_{2}

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

t=-0.78

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.

6 0
3 years ago
A storage container for oil is in the shape of a cylinder with a diameter of 10 feet and a height of 17 feet which measurement i
strojnjashka [21]
The answer would be 1335.18
8 0
3 years ago
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