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Solnce55 [7]
4 years ago
9

Operating on the triangle. using a straightedge, draw a random triangle. now carefully cut it out. next amputate the angles by s

nipping through adjacent sides. now move the angles together so the verticles all touch and the edges meet. what do you conclude about the sum of the angles of a triangle?
Mathematics
1 answer:
S_A_V [24]4 years ago
3 0
The sum of the measures of the angles in a triangle is always 180 degrees.

If you follow the procedure in the question, you will have a straight angle when you put the pieces together. All straight angles have 180 degrees. Therefore, there are 180 degrees in every triangle.
You might be interested in
5x + 5 = 25<br> What is x?
Alexeev081 [22]

Answer:

x = 4

Step-by-step explanation:

5x + 5 = 25

-5           -5

5x = 20

----    ---

5      5

x = 4

3 0
3 years ago
Tina uses a $50 gift certificate to buy a pair of pajamas for 17.97 a necklace for 25.49 and 3 pairs of socks that each cost the
Furkat [3]
The overall cost is $50.33. you now subtract out the prices you know. The easiest way to do that is to add them up; 17.97+25.49. That is 43.46.

The next step is to subtract 43.46 from 50.33. 50.33-43.46=6.87. That is the price of all the pairs of socks put together.

to find out how much one pair is, you then divide 6.87 by 3. That is 2.29.

The answer is $2.29

I hope this helps!
3 0
4 years ago
4(w + 14) what the answer thank you guys :)
k0ka [10]

Answer:

4w+56

Step-by-step explanation:

4(w) = 4w

4(14)= 56

4w+56

7 0
3 years ago
Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two
sveta [45]

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    \bar {x} _A = 49.5      \bar {x} _B = 45.5

Equal standard deviation    \sigma_A = 5         \sigma_B= 5

Sample size                          n_A = 30        n_{B}= 30

Mean of the sampling distribution is :

\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5  \\ \\ = 4.0

Standard deviation of sampling distribution:

\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667}  \\ \\ =1.2909

Hypothesis testing.

Null hypothesis:  H_o: \mu_A -\mu_B = 0

Alternative hypothesis:  H_A:\mu_A -\mu_B > 4

The required probability is:

P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}}   \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\  = 1 - [NORMDIST(3.10)]  \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq  0.0010

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject H_o and conclude that there is enough evidence to fully support alloy A.

3 0
3 years ago
Which is the best estimate for the quotient of 3,004.914 ÷ 0.298? A. 100 B. 1,000 C. 10,000 D. 100,000
Alexus [3.1K]
C
3,004.914 ÷ 0.298 = <span>10083.6040268</span>
4 0
3 years ago
Read 2 more answers
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