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2 years ago

A statement and portions of the flowchart proof of the statement are shown.

Mathematics

2 answers:

Sedaia [141]2 years ago

8 0

In box 1, the reason that justifies the statement, m∠BAD = m∠BAC + m∠CAD, is: angle addition postulate.

<h3>What is the Angle Addition Postulate?</h3>

The angle addition postulate states that the measure of a larger angle equals the sum of smaller angles that make up the larger angle.

∠BAD comprises of ∠BAC and ∠CAD.

Therefore, based on the angle addition postulate, m∠BAD = m∠BAC + m∠CAD.

The missing reason in box 1 would be: angle addition postulate.

Learn more about angle addition postulate on:

brainly.com/question/24782727

#SPJ5

Pavel [41]2 years ago

6 0

Answer:

Ruler Postulate

Step-by-step explanation:

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Cerrena [4.2K]

Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

Age Frequency (f) X $X \times f$

0 - 9 30 4.5 135

10 - 19 32 14.5 464

20 - 29 12 24.5 294

30 - 39 20 34.5 690

40 - 49 25 44.5 1112.5

50 - 59 53 54.5 2888.5

60 - 69 49 64.5 3160.5

70 - 79 13 74.5 968.5

80 - 89 8 84.5 676

Total 242 10389

Now, the mean of the frequency distribution is given by the following formula;

Mean = $\frac{\sum X \times f}{\sum f}$

= $\frac{10389}{242}$ = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.

5 0

3 years ago

Read 2 more answers

Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of ya

Gnoma [55]

Answer: If two pair is parallel then it has no solution.

Step-by-step explanation:

Since we have given that

Let the number of gained yards by each player be y

For the case of Brayden:

Equation will be

$y=5x-1\\\\y-5x=-1$

For the case of Howard :

Equation will be

$y=5x+1\\\\y-5x=1$

For the case of Vincent :

$y=4x+5\\\\y-4x=5$

Since First two equations are parallel so it has no solution.

Reason:

$y-5x=1\\\\y-5x=-1\\\\\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{5}{5}\neq \frac{1}{-1}$

Hence, if two pair is parallel then it has no solution.

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3 years ago

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Jet001 [13]

I-9 form, hope this helps

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3 years ago

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

Wittaler [7]

The DJs unit rate is 5 songs for every 1 commercial.

I found this by dividing both the commercials and the songs by their greatest common factor, or 2.

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3 years ago

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Factor. to 4m6 – 16p10

Nonamiya [84]

Answer:

4 ( m⁶ - 4p¹⁰ )

Step-by-step explanation:

4m⁶ = 4 * m⁶

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Common factor = 4

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3 years ago