The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
<h3>
Properties of a Parallelogram</h3>
- The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
- Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.
Therefore:
ON = LM
Substitute
7x - 5 = 6x + 4
Add like terms
7x - 6x = 5 + 4
x = 9
OL = NM
Substitute
8y + 3 = x + 6
Plug in the value of x
8y + 3 = 9 + 6
8y + 3 = 15
8y = 15 - 3
8y = 12
y = 12/8
y = 1.5
Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
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Answer:
I do not agree because Mario's claim is not general.
Step-by-step explanation:
Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.
And a denominator is the divisor in a given fraction.
Considering the following fractions whose denominators are prime numbers:
= 0.66666666...
= 0.142857142
= 0.45454545...
= 0.23076923
= 0.142857142
It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
-4 + x 2 + y
------- = 5 and ------ = 5
2 2
so x = 10 + 4 = 14 and y = 10 - 2 = 8
endpoint N = (14,8)
