What is the value of x?

1 answer:

3 0

Answer:
x = 11/36

Explanation:
Step 1 - Write down the equation

x + 4/9 = 3/4

Step 2 - Subtract 4/9 from both sides of the equation

x + 4/9 = 3/4
x + 4/9 - 4/9 = 3/4 - 4/9
x = 11/36

Extra:
If you would like to check and make sure the value of x is correct, simply replace x with its value and solve.

x + 4/9 = 3/4
11/36 + 4/9 = 3/4
27/36 = 3/4
3/4 = 3/4 ✅

So, the value of x is in fact 11/36

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

sergiy2304 [10]

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.

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3 years ago

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Simplify. Assume that letters represent any real number.

TiliK225 [7]

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