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frozen [14]
3 years ago
13

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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Metal A has a density of 12.7 g/cm3.
stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

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5 0
1 year ago
Shaun needs to make mortar for brick-laying. It is made in the ratio 7:3 of sand to cement.
Tju [1.3M]
Sand to cement
7:3

210:x

ask yourself what number is needed to multiply by 7 to get 210 ( so you'd divide 210 by 7 which is 30). Multiply the other side by thirty as well to get the value of x

3*30 which is 90

7 0
3 years ago
a bag of potting soil costs $3 less than a flower pot. Ike paid $41 for 3 flower pots and 5 bags of soil. how much does one bag
Arada [10]
Cost of bag of soil = x-3 where x is the price of a flower pot
41=3x + 5(x-3)
41=3x + 5x -15
41=8x -15
41+15=8x
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56÷8=x
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5 0
2 years ago
In the Fig., if ABCD is a parallelogram, then the value of x is ​
Natalija [7]

Answer:

Value of x is 20.

Step-by-step explanation:

The angle opposite to 4x is also 4x.

Similarly, the angle opposite to 5x is also 5x.

So, 4x+4x+5x+5x=360

18x=360

x=360/18

x=20

Please give me brainlist.

3 0
2 years ago
According to the graph, what is the value of the constant in the equation
BaLLatris [955]

Answer:

The answer is C: 75

Step-by-step explanation:

The constant is found by multiplying your height and width, so thats really all you do.

25x3=75

15x3=75

3x15=75

25x3=75

75 would be the constant.

7 0
3 years ago
Read 2 more answers
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