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Elden [556K]
2 years ago
13

Pls pls pls pls pls pls pls

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
  • Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

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Simplify: 3/8 x 8/9<br>A. 1/3<br>B. 2/6<br>C. 24/72<br>D. 27/64​
ioda

Answer:

1/3 (A)

Step-by-step explanation:

We take \frac{3}{8} *\frac{8}{9} and we combine them together. It leaves us with:

\frac{(3)(8)}{(8)(9)} Now, we must solve for what we have by multiplying both the top and bottom of our fraction and that leaves us with:

\frac{24}{72}

And now, we simplify that into our answer: \frac{1}{3}

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=find%20%5C%3A%20%20%5Cfrac%7Bx%7D%7By%7D%20" id="TexFormula1" title="find \: \frac{x}{y} " al
Aliun [14]

Answer:

The Answer is: x / y = 8 / 3

Step-by-step explanation:

3(x - 2) - 4(2y - 1) + 2=0

3x - 6 - 8y + 4 + 2 = 0

3x - 8y = 0

3x = 8y

3x/y = 8

x / y = 8 / 3

Hope this Helps! Have an Awesome Day!! (-:

8 0
3 years ago
Read 2 more answers
Kristoff ran more than 16 miles. Kristoff wants to write an inequality for the number of miles he ran. What constant should he u
Levart [38]
Hope this helps you ;)

7 0
4 years ago
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A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 3. 14 for pi
KonstantinChe [14]

Answer:

87.92

In this case we're trying to find circumference

Formula: c = pi×d

The problem says to use 3.14 for pi

c = 3.14 × 28 = 87.92

3 0
3 years ago
Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each o
Andrew [12]

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

<h3>What is the margin of error for a z-distribution confidence interval?</h3>

It is given by:

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

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

M = 10, \sigma = 15.

Then, we solve for n to find the needed sample size.

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

10 = 1.645\frac{15}{\sqrt{n}}

10\sqrt{n} = 1.645 \times 15

\sqrt{n} = 1.645 \times 1.5

(\sqrt{n})^2 = (1.645 \times 1.5)^2

n = 6.1

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
3 years ago
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