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mina [271]
3 years ago
13

ABCD is a parallelogram. Find the measure of ZABC. HELPPP

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

50°

Step-by-step explanation:

Opposite angels of a parallelogram are congruent to each other.

This means:

<ADC = <ABC

<ADC = 38° + 12°

<ADC = 50°

Since <ADC = <ABC, therefore,

<ABC = 50°

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Answer:

4x+4y

Step-by-step explanation:

Only like terms can be added together so the numbers with the variable x are added together and numbers with the variable y are added together.

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Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

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q+3\leq 15...(1)

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We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

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q+3-3\leq 15-3

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From 2nd inequality, we will get:

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0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

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Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

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Answer:

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