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2 years ago

Which shortcut could be used to prove the two triangles are congruent?

Mathematics

1 answer:

vovangra [49]2 years ago

6 0

To find if a shape is congruent, just see if they are the same size and shape. If they are, it's congruent. If not, they aren't.

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sorry if I couldn't help

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Which sets does square 7 belong to.

horsena [70]

Answer:Number Sets. There are sets of numbers that are used so often they have special names and symbols: ... The numbers you can make by dividing one integer by another (but not dividing by zero). In other words ... If you square a real number you always get a positive, or zero, result. ... x + 7 = 0, x = −7, Integers, set integer.

Step-by-step explanation:

5 0

3 years ago

A jar contains 30 red marbles 50 blue marbles and 20 white marbles what is the the theoretical probability of choosing a white m

svlad2 [7]

Theoretical probablity=desiredoutcomes/totalpossibleoutcomes

desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100

so theoretical probablity=20/100=2/10=0.2=20%

7 0

3 years ago

Read 2 more answers

Can someone help me solve this question? It’s similar to the previous ones! Thank you!

luda_lava [24]

Answer:

$\boxed{\sf \ \ \ (-2x+-9)(1x+3)=-2x^2-15x-27 \ \ \ }$

the coefficient c is -27

Step-by-step explanation:

hello

$(-2x+-9)(1x+3)=(-2x-9)(x+3)=-2x(x+3)-9(x+3)=-2x^2-6x-9x-27\\=-2x^2-15x-27$

hope this helps

8 0

3 years ago

What is 1/4-1/6 equals to

klemol [59]

Answer:

3/16

Step-by-step explanation:

1. you convert 1/4 into 16ths and you get 4/16

2. 4/16 - 1/16= 3/16

7 0

3 years ago

Assume that a simple random sample has been selected from a normally distributed population. State the hypotheses, find the test

BaLLatris [955]

Solution

Hypotheses:

- The population mean is 132. In order to test the claim that the mean is 132, we should check for if the mean is not 132.

- Thus, the Hypotheses are:

$\begin{gathered} H_0:\mu=132 \\ H_1:\mu\ne132 \end{gathered}$

Test statistic:

- The test statistic has to be a t-statistic because the sample size (n) is less than 30.

- The formula for finding the t-statistic is:

$\begin{gathered} t=\frac{\bar{X}-\mu}{\frac{s}{\sqrt{n}}} \\ \\ where, \\ \bar{X}=\text{ Sample mean} \\ \mu=\text{ Population mean} \\ s=\text{ Standard deviation} \\ n=\text{ Sample size} \end{gathered}$

- Applying the formula, we have:

$\begin{gathered} t=\frac{137-132}{\frac{14.2}{\sqrt{20}}} \\ \\ t=\frac{5}{3.1752} \\ \\ t\approx1.5747 \end{gathered}$

Critical value:

- The critical value t-critical, is gotten by reading off the t-distribution table.

- For this, we need the degrees of freedom (df) which is gotten by the formula:

$\begin{gathered} df=n-1 \\ df=20-1=19 \end{gathered}$

- And then we also use the significance level of 0.1 and the fact that it is a two-tailed test to trace out the t-critical. (Note: significance level of 0.1 implies 10% significance level)

- This is done below:

- The critical value is 1.729

P-value:

- To find the p-value, we simply check the table for where the t-statistic falls.

- The t-statistic given is 1.5747. We simply check which values this falls between in the t-distribution table. It falls between 1.328 and 1.729. We can simply choose a value between 0.1 and 0.05 and multiply the result by 2 since it is a two-tailed test.

- However, we can also use a t-distribution calculator, we have:

- Thus, the p-value is 0.13183

Final Conclusion:

- The p-value is 0.13183, and comparing this to the significance level of 0.1, we can see that 0.13183 is outside the rejection region.

- Thus, the result is not significant and we fail to reject the null hypothesis

7 0

1 year ago