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3 years ago

Which postulate or theorem proves that △ABC and △EDC are congruent?

Mathematics

1 answer:

Lelechka [254]3 years ago

5 0

Answer:

SAS

Step-by-step explanation:

You are already given that two sides are congruent, thus making the "s" part. You can further say that two angles are congruent, due to the verticle angle theorem!

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3 years ago

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Anyone know the answer?

wariber [46]

Answer:

w=51

x=0

51-0=51

y=69

z=60

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2 years ago

When round off to nearest thousand, the number 42,099

Roman55 [17]

Answer:42000

Step-by-step explanation:

There is no number higher than 5 after the thousands so you would keep it the same

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−20=−4x−6x Find the value of x

xeze [42]

Answer:

$\huge\boxed{x=2}$

Step-by-step explanation:

$-20=-4x-6x\qquad|\text{combine like terms}\\\\-20=-10x\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-20}{-10}=\dfrac{-10x}{-10}\\\\2=x\to x=2$

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3 years ago

A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test thi

bearhunter [10]

Answer:

The statistic for this case would be:

$z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}$

And replacing we got:

$z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92$

Step-by-step explanation:

For this case we have the following info:

$n =700$ represent the sample size

$X= 305$ represent the number of employees that earn more than 50000

$\hat p=\frac{305}{700}= 0.436$

We want to test the following hypothesis:

Nul hyp. $p \leq 0.4$

Alternative hyp : $p>0.4$

The statistic for this case would be:

$z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}$

And replacing we got:

$z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92$

And the p value would be given by:

$p_v = P(z>1.922)= 0.0274$

4 0

3 years ago