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vodka [1.7K]
3 years ago
12

Step 2 - Identify which formula we use to prove certain properties of polygons.

Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0

Properties of polygons.

Step-by-step explanation:

(1) Both pair of opposite sides are congruent.          <u>Distance Formula</u>

(2) Both pairs of opposite sides are parallel.            <u>Slope Formula</u>

(3) Diagonals are congruent .                                    <u>Distance Formula</u>

(4)  Diagonals bisect to each other.                          <u>Midpoint Formula</u>

(5) Diagonals are perpendicular.                               <u>Slope Formula</u>

(6<u>)</u>  Sides of polygon create a right angle.                <u>Slope Formula</u>

(7) A triangle is isosceles /equilateral.                      <u>Distance Formula</u>

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A line has the equation 3x-2y=6, any line parallel to this line has slope (?)
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Answer:

Slope is 3/2

Step-by-step explanation:

3x-2y=6

-2y=-3x+6

y=3/2-3

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3 years ago
What is √15 divided by √12 simplified?
photoshop1234 [79]

☁️ Answer ☁️

annyeonghaseyo!

I Got:

√5/2

Here's the Decimal Form:

1.11803398

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3 years ago
A 57-inch television screen has an aspect ratio of 4:3. Find the scale factor (x), find the length and width, and calculate the
natulia [17]

tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.

so a 57" TV has a 57" diagonal.

Check the picture below.

\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}

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3 years ago
Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those
mestny [16]

The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

<h3>How to illustrate the information?</h3>

The following can be deduced from the information:

x1 = 275

x2 = 170

n1 = 500

n2 = 500

The sample proportion will be:

p1 = 275/500 = 0.55

p2 = 170/500 = 0.34

The pooled proportion will be:

= (275 + 170)/(500 + 500)

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The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.

The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.

In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

Learn more about hypothesis on:

brainly.com/question/15980493

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8 0
2 years ago
A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a
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Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is \hat{p}=0.42 and a good aproximation (because we have a large sample) for the standard deviation of \hat{p} is \sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156. Therefore, a 99% confidence interval for p is given by \hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} where \alpha=0.01 and z_{\alpha/2} is the \alpha/2th quantile of the standard normal distribution, so we have, 0.42\pm z_{0.005}0.0156, i.e., 0.42\pm(-2.5758)(0.0156) or equivalently (0.3798, 0.4602).

6 0
3 years ago
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