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2 years ago

. Find the value of x for which ABCD must be a parallelogram.

Mathematics

1 answer:

Alona [7]2 years ago

4 0

The value of x that would make ABCD a parallelogram is x = 5

<h3>How to find the interior angle of a parallelograms?</h3>

A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.

Opposite sides of a parallelogram are congruent and parallel

Therefore,

5x - 3 = 14x - 48

subtract 5x from both sides

5x - 5x - 3 = 14x - 5x - 48

-3 = 9x - 48

add 48 to both sides

-3 + 48 = 9x - 48 + 48

45 = 9x

x = 45 / 9

x = 5

Therefore, the value of x that would make ABCD a parallelogram is x = 5

learn more on parallelograms here: brainly.com/question/9370590

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Jonathan works at an advertising agency. When he was hired, he was given four days of paid vacation time. For each year that he

sleet_krkn [62]

a) The number of paid vacation days that Jonathan gets at the end of five years of employment is <u>19 days</u>.

b) The model of the relationship between x, the number of years Jonathan has worked, and y, the number of paid vacation days earned, is <u>y = 4 +3x</u>.

c) Jonathan will reach the maximum number of paid vacation days allowable in 8 years.

<h3>Data and Calculations:</h3>

Initial paid vacation time for the first year = 4 days

Additional paid vacation time for an additional year = 3 days

Number of paid vacation time after 5 years = 19 days (4 + 3 x 5)

Number of years worked = x

Number of paid vacation days earned = y

Model of the relationship between x and y is <u>y = 4 +3x</u>.

If y = 28 days

x = (28 - 4)/3

x = 24/3

x = 8 years

Thus, the model of the relationship between x and y is <u>y = 4 +3x</u>.

Learn more about modeling functionss at brainly.com/question/21910510

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<h3>Question Completion:</h3>

a.) How many paid vacation days does he now get at the end of five years of employment?

b.) Using x for the number of years he has worked for the ad agency and y to represent the number of paid vacation days earned, write an equation to model the relationship between them.

c.) When will Jonathan reach the maximum number of paid vacation days allowable?

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2 years ago

Which of the following expressions is equivalent to the expression x - 6?

svet-max [94.6K]

The second one. It is the same as the original.

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3 years ago

Read 2 more answers

What are the Factors of -18

postnew [5]

The factors of -18 are 1, 2, 3, 6, 9, 18 and their negative counterparts :)

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3 years ago

X^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120

LenaWriter [7]

Answer:

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Step-by-step explanation:

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3 years ago

Write as a mixed number (if possible)11/3÷2/6=?

lakkis [162]

I am sorry but this cannot be put as a mixed number. The answer is 11. To dot his do 11/3 divided by 2/6 u would first do same change flip and do 11/3 times 6/2 which then u would multiply straight across and u would get 66/6 which equals 11 because 66 divided by 6 equals 11. I hope this helped u! ;)

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3 years ago