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3 years ago

Complete the proof. Someone please help me answer this!

Mathematics

1 answer:

sammy [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e $180^{o}$ ).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 = $180^{o}$ , and m<1 + m<3 = $180^{o}$ . The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.

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8% of 70 is what number

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8 percent of 70 is 5.6

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3 years ago

A summer camp is organizing a hike in needs to buy granola bars for the campers. The granola bars come in small boxes in large b

Andreyy89

Answer:

3 large boxes
9 small boxes

Step-by-step explanation:

The purchase can be grouped into groups containing one large box and 3 small boxes. Then each group will have 12 +3·6 = 30 granola bars.

Since 90 bars were purchased, the camp bought 90/30 = 3 groups of boxes of bars.

They purchased 3 large boxes and 9 small boxes of bars.

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3 years ago

[PLEASE HELP!] A 60-watt LED lightbulb is used for 190 hours before it burns it out. What is the life of the lightbulb in kilowa

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3 years ago

blake is signing a lease for a studio apartment that rents for $425/month. how much will blake pay to move in if he must pay the

Maslowich

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3 years ago

Read 2 more answers

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

stepan [7]

Answer:

(a) The expected score is 12.8

(b) The standard deviation is 3.2 and variance is 10.24

Step-by-step explanation:

Consider the provided information.

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question.

Here n=64 p=1/5 and q=1-1/5=4/5

Part (a) we need to find the expected score on the exam.

Expected = np

Expected score = number of questions × P(right)

$Score = 64 \times \frac{1}{5} = 12.8$

Hence, the expected score is 12.8

Part (b) Compute the variance and standard deviation of x.

Standard Deviation: $\sigma =\sqrt{npq}$

Now calculate the standard deviation as shown:

$\sigma =\sqrt{64\times \frac{1}{5}\times \frac{4}{5}}$

$\sigma =\sqrt{\frac{256}{25}}$

$\sigma =\frac{16}{5}=3.2$

Variance: $\sigma^2 =npq$

$\sigma^2 =64\times \frac{1}{5}\times \frac{4}{5}$

$\sigma^2 =\frac{256}{25}$

$\sigma^2 =10.24$

Hence, the standard deviation is 3.2 and variance is 10.24

5 0

3 years ago