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3 years ago

Write a complete two-column proof for the following information given

Mathematics

1 answer:

rosijanka [135]3 years ago

5 0

Statement Reason

1. AB = x + 16 1. Given

BC = 4x + 11

AC = 77

2. AB + BC = AC 2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77 3. Substitution Property

4. 5x + 27 = 77 4. Simplification (added like terms)

5. 5x = 50 5. Subtraction Property of Equality

6. x = 10 6. Division Property of Equality

7. AB = 10 + 16 7. Substitution Property

8. AB = 26 8. Simplification (added like terms)

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Len [333]

Answer:

∠ACB is a right angle

Graph:

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3 years ago

Look at the given image. Which of the following statements, if true, would alone prove p || 4?

marissa [1.9K]

Answer

Explanation:

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3 years ago

In (r,theta), the value of theta can be negative. True or False

Marizza181 [45]

(r,theta) represents polar coordinate .

And in (r,theta), there is neither any restriction on r nor on theta. It means both r and theta can either be positive or negative .

For e.g. (2,30 degree), (2,-30 degree) both are correct .

So the given statement is true .

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2 years ago

TEST TOMORROW 33. Mid Town Sports Apparel has found that it needs to sell golf hats at $2.75 each to be competitive. It costs $2

Mars2501 [29]

a. The total cost is the sum of variable and fixed cost. So the average cost of each hat is simply total cost divided by x:

ave cost = (2.12 x + 3000) / x

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2.12 x + 3000 = 2.75 x

Solve for x:

x = 4762 units

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2 years ago

Five balls are chosen from a bag of eight blue balls, six red balls, and five green balls. How many of these five-ball selection

Harlamova29_29 [7]

Using the combination formula, it is found that six of these five-ball selections contain exactly five red balls.

The order in which the balls are selected is not important(as balls A, B, C, D and E is the same outcome as balls B, A, C, D and E), hence the combination formula is used to solve this question. If the order was important, then the permutation formula would be used.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, five red balls can be chosen from a set of six, hence the number of selections is the combination of 5 elements from a set of 6, that is calculated from the formula given above:

$C_{6,5} = \frac{6!}{1!5!} = 6$

Hence six of these five-ball selections contain exactly five red balls.

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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1 year ago