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gtnhenbr [62]
3 years ago
12

Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the i

ntersection of the lines creating the vertical angles (2) a rotation by 180 about the intersection of the lines creating the vertical angles (3) a translation in the direction of one of the lines creating the vertical angles (4) a reflection across one of the lines creating the vertical angles
Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

(2) a rotation by 180^{0} about the intersection of the lines creating the vertical angles.

Step-by-step explanation:

Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.

Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by 180^{0} about the intersection of the lines creating the vertical angles is required.

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If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
jarptica [38.1K]

Answer:

400 cm squared

Step-by-step explanation:

Since a square has all equal sides, this would mean the the all the other sides are 20 as well. To get the area, you would just multiply 20 by 20 to get 400. :)

6 0
3 years ago
Read 2 more answers
4 1/3 - 1 2/3 how to solve this please
8_murik_8 [283]

Answer:

2\frac{2}{3}

Step-by-step explanation:

1) Convert 4\frac{1}{3} to improper fraction. Use this rule: a\frac{b}{c} =\frac{ac+b}{c}.

\frac{4\times3+1}{3} -1\frac{2}{3}

2) Simplify 4 * 3 to 12.

\frac{12+1}{3}

3) Simplify 12 + 1 to 13.

\frac{13}{3} -1\frac{2}{3}

4) Convert 1\frac{2}{3}   to improper fraction. Use this rule: a\frac{b}{c} =\frac{ac+b}{c}.

\frac{13}{3} -\frac{1\times3+2}{3}

5) Simplify 1 * 3 to 3.

\frac{13}{3} -\frac{3+2}{3}

6) Simplify 3 + 2 to 5.

\frac{13}{3} -\frac{5}{3}

7) Join the denominators.

\frac{13-5}{3}

8) Simplify.

\frac{8}{3}

9) Convert to mixed fraction.

2\frac{2}{3}

(Decimal Form: 2.666667)

Thank you,
Eddie

3 0
2 years ago
What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
iragen [17]

Answer:

y = 2x + 2

Step-by-step explanation:

The general form

is;

y = mx + b

where m is the slope and b is the y-intercept

so we have;

y = mx + 2

To get m, substitute the point (-1,0)

So we have

0 = -m + 2

m = 2

So the equation is;

y = 2x + 2

4 0
3 years ago
Two similar triangles are shown.
Evgen [1.6K]

Answer:

the answer to this question is 1

8 0
2 years ago
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A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national
Ksju [112]

Answer:

n≅376

So sample size is 376.

Step-by-step explanation:

The formula we are going to use is:

n=pq(\frac{z_{\alpha/2}}{E})^{2}

where:

n is the sample size

p is the probability of favor

q is the probability of not in favor

E is the Margin of error

z is the distribution

α=1-0.98=0.02

α/2=0.01

From cumulative standard Normal Distribution

z_{\alpha/2}=2.326

p is taken 0.5 for least biased estimate, q=1-p=0.5

n=0.5*0.5(\frac{2.326}{0.06})^{2}\\n=375.71

n≅376

So sample size is 376

4 0
3 years ago
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