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slamgirl [31]
2 years ago
15

Im the diagram shown JKL~ MNP. Find MP and PN.

Mathematics
1 answer:
Vilka [71]2 years ago
7 0

Answer: MP=10, PN=6

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so:

\\\\frac{MP}{5}=\frac{8}{4}\\\\MP=10\\\\\frac{PN}{3}=\frac{8}{4}\\\\PN=6

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What number divided by 2 3 4 5 6 has a remainder of 1 but when divided by 7 has no remainder?
Afina-wow [57]
301

We could start by finding the lowest common multiple of 2, 3, 4, 5, and 6, which is 60. Then, we can consider the next few multiples: 120, 180, 240, 300...

However, because we need a remainder of 1 when our number is divided by each of these numbers (2,3,4,5,6), we want to go one above each of these multiples. So we're talking about 61, 121, 181, 241, 301... Those are the numbers that will satisfy the "remainder of 1" part of the question.

Now, we need to find out which one satisfies the other part of the question, which just requires dividing each of these numbers by 7 to see which is divisible by 7 (in other words, which one gives us a remainder of zero when we divide by 7). 

301 does it. 301/7 = 43. So 301 is a multiple of 7 and therefore will yield no remainder when divided by 7.

Hope this all makes sense.
3 0
3 years ago
Which pair of complex factors results in a real number product? 15(–15i) 3i(1 – 3i) (8 + 20i)(–8 – 20i) (4 + 7i)(4 – 7i)
photoshop1234 [79]

Answer:

(4 + 7i)(4 – 7i)

Step-by-step explanation:

This pair will produce a real answer because they are complex conjugates.

Complex conjugates ( a+bi) (a-bi)  when multiplied together form a real number ( a^2 + b^2)

6 0
3 years ago
Read 2 more answers
Hi im having troble cobineing like terms -10a - 9n + 16 - 30 + 3n + 15a + 50 + a​
goldenfox [79]

Answer:

6a-6n+36

Step-by-step explanation:

-10a-9n+16-30+3n+15a+50+a

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pantera1 [17]

Answer:

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Step-by-step explanation:

Is means equals and of means multiply

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Change to decimal form

W = 1.30 * 990

W =1287

8 0
3 years ago
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Suppose two rectangles have the same area. Must they have the same length and width? Explain.​
Monica [59]

Answer:

no

Step-by-step explanation:

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3 years ago
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