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soldier1979 [14.2K]
3 years ago
9

Which pair of triangles can be proved congruent by SSS?

Mathematics
1 answer:
Temka [501]3 years ago
5 0
The pair of triangles that can be <span>proved congruent by SSS theorem would be the triangles where the corresponding sides of each triangle being equal. From the images attached,

http://assets.openstudy.com/updates/attachments/50a1326be4b05517d536a6cf-geomentry-1352741498116-653....
http://assets.openstudy.com/updates/attachments/50a1326be4b05517d536a6cf-geomentry-1352741506883-653...

I think the correct answer would be the triangles in F.</span>
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I
Ivanshal [37]

Answer:

4,000 mm

Step-by-step explanation:

4 x 1,000= 4,000

5 0
3 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
What is the equation of the line that passes through the points (0, 4) and (3, -2)?
iren2701 [21]

Answer:

c. y=-2x+4

Step-by-step explanation:

Plug in x=0 and y=4 for y=-2x+4

4=-2(0)+4

4=4

Plug in x=3 and y=-2 for y=-2x+4

-2=-2(3)+4

-2=-2

8 0
3 years ago
Solve the que in the given picture!
san4es73 [151]

Answer:

a) 20

Step-by-step explanation:

when we have an exponent of an exponent, we simply multiply them for the overall exponent.

so, we actually have

a^((1/4)×12) × b^((1/3)×12) = a³b⁴ = 5000

let's find the prime factors of 5000 :

5000 ÷ 2 = 2500

2500 ÷ 2 = 1250

1250 ÷ 2 = 625

625 ÷ 3 no

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

so,

5000 = 2³ × 5⁴

so, a = 2, b = 5

a²b = 2²×5 = 4×5 = 20

3 0
2 years ago
Solve the following system of equations for all three variables.
nlexa [21]
All three for each one
6 0
3 years ago
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