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2 years ago

Which lines are parallel? Justify your answer.

Mathematics

2 answers:

liberstina [14]2 years ago

8 0

Answer:

A. Lines a and b are pa because their corresponding angles are congruent.

Step-by-step explanation:

The corresponding angles are both 110 degrees.

Paraphin [41]2 years ago

5 0

Your answer would be A

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A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?

maksim [4K]

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base

h: It's the height

According to the data we have:

$length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}$

$width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}$

Then:

$A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}$

Thus, the volume is:

$V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875$

Answer:

$76.875 \ ft ^ 3$

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2 years ago

Simplify the expression. <br><br>tan(-x)csc(-x)/sec(-x)cot (-x)

Scrat [10]

Tan(-x)csc(-x)sec -1 (-x)cot(-x) i am not sure, I hope you get a good grade, this is what i got.. ',: (

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2 years ago

Which property is illustrated by the statement? 8⋅x=x⋅8

weeeeeb [17]

Answer:

Any value of x makes the equation true.

Step-by-step explanation:

all real numbers

interval notation:(-infinity, infinity)

pls mark as brainliest lol

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2 years ago

1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h

iren [92.7K]

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

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2 years ago

Read 2 more answers

The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being two-tail

krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

$H_0 : p = 0.611\\\\H_a : p \neq 0.611$

Testing the statistics:

$\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\$

therefore, it fails to reject the null hypothesis.

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2 years ago