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3 years ago

1. Which lines or segments are parallel? Justify your answer.

Mathematics

1 answer:

Rainbow [258]3 years ago

8 0

Answer:

Segment CA || Segment HR (by Converse of the Corresponding Angles Postulate)

Step-by-step explanation:

Postulate Segment CA || Segment HR by Converse of the Corresponding Angles

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Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level. sim

charle [14.2K]

Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.

Given expression is $6n^3$ . the given expression is for the nth level.

To simplify the expression for the $n^2$ level, we plug in $n^2$ in the place of 'n' in the given expression

$6n^3$

$6(n^2)^3$ (multiply the exponents)

$6n^6$

5 0

3 years ago

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the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul

aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

$\text{ P = P}_0e^{rt}$

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

$\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}$ $\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}$

Therefore, the population in 2022 will be approximately 6,063,646.

7 0

1 year ago

in a cookie jar,1/5 of the cookies are chocolate chip and 1/2 of the rest are peanut butter.What fraction of all the cookies is

Tamiku [17]

If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5.

Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.

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3 years ago

Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and then an average rate of 40 mi/h on the

hammer [34]

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

we know that

Let

x ----> the time it take on their way to visit relatives in hours

y ---> the time it take on the way back in hours

we know that

The distance of the way to visit is equal to the distance of the way back

The speed multiplied by the time is equal to the distance

60x=40y -----> equation A

y=x+1 -----> equation B

substitute equation B in equation A and solve for x

60x=40(x+1)

60x=40x+40

20x=40

x=2 hours

Find the value of y

y=2+1=3 hours

d=60x

The time it take on their way to visit relatives is 2 hours

The time it take on the way back is 3 hours

Part B) In terms of "d," how many hours did it take to drive there?

we have that

The distance is equal to the speed multiplied by the time

d=60x

Solve for x

x=d/60 hours

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

To find the average rate for the whole trip we will need the total distance and the total time

The distance of the way to visit is

d=60x

substitute the value of x

d=60(2)=120 miles

The total distance is

120(2)=240 miles

we know that the total time is

2 + 3 =5 hours

The average rate for the complete trip is

240/5=48 miles/hour

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3 years ago

Read 2 more answers

An engineering student answered 58 questions correctly on a 100-question trigonometry test.

finlep [7]

If you are trying to find the percentage he received: 58/100

Total correct divided by total questions.

You get .58 or

58% by moving the decimal to spaces to the right.

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3 years ago