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3 years ago

Proving the Converse of the Parallelogram Side Theorem

Mathematics

1 answer:

butalik [34]3 years ago

7 0

Answer:

statement

the sum of two adjacent angle of a triangle is 180° . prove that sides are parallel.

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In ∆ABC acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1. If

shtirl [24]

Use an app called Socratic, take a photo of the questions you're stuck on, then it will help you in stages and show you the answer.

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2 years ago

Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their

Andreas93 [3]

Answer:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

Step-by-step explanation:

Information given

$X= 48$ number of people who rent their home

$n= 250$ represent the sample size

$\hat p =\frac{48}{250}= 0.192$ represent the proportion of people who rent their home

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.645$

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:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

3 0

3 years ago

The sides of ∠A are tangent to circle k(O) with radius r. Find: r, if OA=14 dm, m∠A=90°.

Alex_Xolod [135]

Answer:

r = √98

Step-by-step explanation:

angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:

r^2 + r^2 = 14^2

2r^2 = 14^2

2r^2 = 196

r^2 = 98

r = √98

6 0

2 years ago

Read 2 more answers

Please answer 60....I don't understand

bonufazy [111]

So you basically just add up all of the numbers for the number sentence, so:
1800+2150+675+2300+665+95+250+1150+225+750+530. So the sum of those is the new balance, which is $10590

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3 years ago

What is square root in simplified form? What is in simplified form?

Anon25 [30]

Answer:

Step-by-step explanation:

Let as us 45 as the number we should use to get the square root in the simplest form

And then 144

The square root of a number in is simplest form means to get the number inside the radical as low as possible

8 0

3 years ago