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garik1379 [7]
3 years ago
15

180 is the lcm of 12 and a number n . What are the possible values of n?

Mathematics
1 answer:
love history [14]3 years ago
6 0
12|\fbox2\\.\ 6|\fbox2\\.\ 3|\fbox3\\.\ 1|\\----------\\180|\fbox2\\.\ 90|\fbox2\\.\ 45|\fbox3\\.\ 15|3\\.\ \ 5|5\\.\ \ 1|\\\\Answer:\\5\times3\times3=45\\5\times3\times3\times2=90\\5\times3\times3\times2\times2=180
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B
VARVARA [1.3K]

Answer:

Hypothenus = 22

Step-by-step explanation:

From the question given above, we were told that the triangles are congruent (i.e same size). Thus,

AC = EF

BC = DE

To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:

For y:

AC = y + 3

EF = 2y + 1

AC = EF

y + 3 = 2y + 1

Collect like terms

3 – 1 = 2y – y

2 = y

y = 2

For x:

BC = 5x + 7

DE = 6x + 2y

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DE = 6x + 2(2)

DE = 6x + 4

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Collect like terms

7 – 4 = 6x – 5x

3 = x

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Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:

Hypothenus = BC

Hypothenus = 5x + 7

x = 3

Hypothenus = 5x + 7

Hypothenus = 5(3) + 7

Hypothenus = 15 + 7

Hypothenus = 22

OR

Hypothenus = DE

DE = 6x + 2y

y = 2

x = 3

Hypothenus = 6(3) + 2(2)

Hypothenus = 18 + 4

Hypothenus = 22

5 0
3 years ago
Analyze the histogram comparing the frequencies shown for the annual temperatures of Kentucky and iliinois. wich statement is tr
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Answer:

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5

1/4n + 3
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3 years ago
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I need help. ASAP. PLEASE.
Vlad1618 [11]
You haven’t supplied enough information to help you. The original question would have helped.
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2 years ago
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