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grandymaker [24]
3 years ago
12

For △RST and △UVW, ∠R≅∠U, ST≅VW, and ∠S≅∠v. Explain how you can prove △RST ≅△UVW by ASA

Mathematics
1 answer:
monitta3 years ago
6 0

Answer:

See explanation below.

Step-by-step explanation:

Note that in △RST and △UVW

  • m∠T=180°-m∠R-m∠S;
  • m∠W=180°-m∠U-m∠V.

Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.

In ΔRST and ΔUVW:

  • ∠S≅∠V (given);
  • ∠T≅∠W (proved);
  • ST≅VW (given).

ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

By ASA theorem ΔRST≅ΔUVW.

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Answer:

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Step-by-step explanation:

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To return back to -18°C from -10°C, you would have to lower the temperature by -8°C to compensate for the difference.

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5 0
3 years ago
Tree times the sum of ten and a number is 25. What is the number? <br><br> (Fraction)
ella [17]

Answer:

Step-by-step explanation:

3(10+n) = 25

30 +3n =25

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6 0
3 years ago
Read 2 more answers
A average amount of money on deposit in a savings account is $7500. Suppose a random sample of 49 accounts shows the average in
Valentin [98]

Answer:  

z=-3.79

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=6850 represent the mean average amount of money on deposit in savings account for the sample  

\sigma=1200 represent the population standard deviation for the sample  

n=49 sample size  

\mu_o =7500 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the amount of money on deposit in savings account differs from 7500, the system of hypothesis would be:  

Null hypothesis:\mu =7500  

Alternative hypothesis:\mu \neq 7500  

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".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{6850-7500}{\frac{1200}{\sqrt{49}}}=-3.79  

4)P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average amount of money deposit in savings account its significantly different from 7500 tons at 1% of signficance.  

7 0
3 years ago
$12 per pizza how many pizzas can i get for $400
sergejj [24]

Answer:

$388

Step-by-step explanation:

subtract 400 and 12

(sorry if its wrong)

6 0
3 years ago
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