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olga2289 [7]
3 years ago
12

The table has a set of expressions representing the sums of rational and irrational numbers. Find each sum, and indicate

Mathematics
2 answers:
ipn [44]3 years ago
7 0

Answer:

\pi +24 = irrational\\\\\sqrt{16} + (-\frac {21}{5}) = rational\\\\\sqrt{8} +\pi =irrational\\\\\sqrt{4}+5= rational\\\\\sqrt{36}+ \sqrt[3]{27} = rational

\frac{3}{4} + \sqrt{27} = irrational

Step-by-step explanation:

kotegsom [21]3 years ago
4 0

Answer:

1. rational

2.irrational

3.irrational

4.rational

5.rational

6.irrational

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Determine if the two triangles are congruent. If they are State how you know. NO LINKS!!!​
miv72 [106K]

Problem 25

These triangles are congruent.

The reasoning is the AAS congruence theorem. We have two pairs of congruent angles, as shown by the arc markings, and a pair of congruent sides. The sides are <u>not</u> between the angles. That means AAS is slightly different from ASA. The order matters.

=====================================================

Problem 26

The triangles are <u>not</u> congruent

Why not? Well it all comes down to the angle placement. For the triangle on the right side, the arc is between the shared segment and the segment with the double tickmarks. The other arc is not in the proper corresponding location to be able to use SAS. It would need to be adjacent to the arc on the right for us to use SAS.

If it's hard to visualize what I mean, refer to the diagram below.

=====================================================

Problem 27

The triangles are <u>congruent</u> by <u>SAS</u>

The angles aren't marked, but recall that vertical angles are always congruent. So you could add in angle markers if you wanted, to help complete the diagram. The tickmarks of course tell us which segments are the same length. The angles are between the segments.

====================================================

Problem 28

The triangles are <u>congruent</u> by <u>SSS</u>

Like before, the tickmarks tell us which sides are the same length. So the tickmarks say that we have two pairs of congruent sides. The overlapping sides or shared sides are the third pair of congruent segments. So in reality, we have three pairs of congruent sides. It might help to break up the figure into two separate triangles.

3 0
3 years ago
3. x-2y = 12<br>y=3x+ 14 substitution to solve system of equation​
OLEGan [10]

Answer:

\displaystyle [-8, -10]

Step-by-step explanation:

12 = x - 2[3x + 14]

12 = x - 6x - 28

12 = −5x - 28

+ 28 + 28

____________

\displaystyle \frac{40}{-5} = \frac{-5x}{-5}

\displaystyle -8 = x[Plug this back into both equations above to get the y-coordinate of −10]; \displaystyle -10 = y

I am joyous to assist you anytime.

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Damm [24]

Answer: p value is 0.1685.

Step-by-step explanation:

Since we have given that

The survey is conducted on a random sample of 240 pet owners.

Out of them, number of owners spoke to their pet on telephone = 79

n = 240

x = 79

\hat{p}=\dfrac{x}{n}=\dfrac{79}{240}=0.33

Our hypothesis would be

H_0:p=0.5\\\\H_1:p>0.5

Formula for test statistic would be

\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\=\dfrac{0.33-0.36}{\sqrt{\dfrac{0.36(1-0.36)}{240}}}\\\\=-0.96

p value = 0.1685

Hence, p value is 0.1685.

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Answer:

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Step-by-step explanation:

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