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Dafna11 [192]
3 years ago
10

Which congruence theorem can be used to prove △WXS ≅ △YZS? Triangles W X S and Y Z S are connected at point S. Angles W X S and

S Z Y are right angles. Sides X S and S Z are congruent. SSS ASA SAS HL
Mathematics
2 answers:
sergejj [24]3 years ago
6 0

Answer:

ASA

Step-by-step explanation:

iVinArrow [24]3 years ago
3 0

Point S makes the two connected angles the same. They both have right angles.

And one side of each is congruent.

This means you know 2 angles are the same and one side is the same.

You would use ASA (Angle, Side, Angle)

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A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligra
masya89 [10]

Answer:

The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is <u>a) 0.67x</u>

Step-by-step explanation:

Given:

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.

Now, to find the expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe.

<em>The old soup recipe contained sodium per serving = </em>x\ milligrams.<em />

<em>As given, the new soup recipe contains 33 percent less sodium per serving than the old soup recipe.</em>

So, to get the amount of new soup recipe sodium per serving we write an equation:

x-33\%\ of\ x

= x-\frac{33}{100} \times x

= x-\frac{33x}{100}

= x-0.33x

= 0.67x.

<u><em>Thus, the expression </em></u>0.67x<u><em> milligrams represent the amount of sodium per serving in new soup recipe.</em></u>

Therefore, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is a) 0.67x.

5 0
3 years ago
What is the solution to the equation 1/2 (x-12) + 4 = 1/3 (6x-15)?
larisa86 [58]

Answer:

x=2

Step-by-step explanation:

\frac{1}{2} (x-12) + 4 = \frac{1}{3} (6x-15)

\frac{x-12}{y2} +4=\frac{6x-15}{3}

\frac{(x-12)+2*4}{2}=\frac{(2*3)x-3*5}{3}

x=2

4 0
3 years ago
A software developer wants to know how many new computer games people buy each year. A sample of 1233 people was taken to study
Murljashka [212]

Answer:

The 99% confidence interval for the mean number of computer games purchased each year is between 7.3 and 7.5 games.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{1.4}{\sqrt{1233}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.4 - 0.1 = 7.3.

The upper end of the interval is the sample mean added to M. So it is 7.4 + 0.1 = 7.5

The 99% confidence interval for the mean number of computer games purchased each year is between 7.3 and 7.5 games.

7 0
3 years ago
Read 2 more answers
Philip can run a mile in 6 minutes. What is his speed in miles per hour?<br><br> I need help
3241004551 [841]

Answer:

10 MPH

Step-by-step explanation:

Well since there is 60 minutes in an hour, you can easily take 6 and multiply it by 10 since that will equal 60. 1 mile takes 6 minutes and because we multiplied the amount by 10, we can multiply the amount of miles by 10 as well. If Philip runs at a constant rate for 60 minutes straight, he will be going at 10 MPH. Hope this helps!

8 0
3 years ago
Read 2 more answers
(sin30°+cos30°)-(sin60°cos60°) find the value​
professor190 [17]
Hope this helps!
1,366-1,366
This is = to 0
7 0
2 years ago
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