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3 years ago

If LR = 12 and LP = 7, find PR. Explain.

Mathematics

2 answers:

sergiy2304 [10]3 years ago

5 0

Answer:

PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution

Step-by-step explanation:

The naming of the segments suggests that point P is between L and R, so that ...

LP + PR = LR

This corresponds to the last choice.

_____

<em>Comments on the alternate interpretation</em>

On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...

PL + LR = PR

The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...

LP + LR = PR

and by the commutative property, ...

LR + LP = PR.

Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.

inysia [295]3 years ago

3 0

Answer:

PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution.

Step-by-step explanation:

I am pretty sure i am right

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Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x). Tiles f(x) = x2 − 9, and

vitfil [10]

For this case we must solve each of the functions.
We have then:

f (x) = x2 - 9, and g (x) = x - 3
h (x) = (x2 - 9) / (x - 3)
h (x) = ((x-3) (x + 3)) / (x - 3)
h (x) = x + 3

f (x) = x2 - 4x + 3, and g (x) = x - 3
h (x) = (x2 - 4x + 3) / (x - 3)
h (x) = ((x-3) (x-1)) / (x - 3)
h (x) = x-1

f (x) = x2 + 4x - 5, and g (x) = x - 1
h (x) = (x2 + 4x - 5) / (x - 1)
h (x) = ((x + 5) (x-1)) / (x - 1)
h (x) = x + 5

f (x) = x2 - 16, and g (x) = x - 4
h (x) = (x2 - 16) / (x - 4)
h (x) = ((x-4) (x + 4)) / (x - 4)
h (x) = x + 4

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2 years ago

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Alex

Answer:

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Step-by-step explanation:

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2 years ago

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omeli [17]

1500000000000 in scientific notation is
1.5 * 10^12
That is because you move the decimal point 12 places to the left for it to become 1.5.
1.5 * 10^12
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Hope this helps!

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Anna has $430. She wants to buy a phone that costs $275. Anna will also have to pay a sales tax of 7%.

ki77a [65]

19.25 (tax)
294.25 (total price)
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REASONING:

In this word problem it says Anna has 430 dollars. The phone costs 275 dollars. It also says that when she buys the phone, she will have to pay a tax of 7%.

To find how much tax she will pay, we must do [275] x [0.07]

After inputting this into a calculator, you will get 19.25 (tax)

To find the total price, all you have to do is add 19.25 to 275. When you do this, you will get 294.25 dollars (total price)

To find how much money she has left,

430-294.25=135.75 (money left)

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