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drek231 [11]
3 years ago
6

Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inc

hes long should each shelf be ?
Mathematics
1 answer:
UNO [17]3 years ago
6 0
4 shelves of consecutive even numbers
x , x + 2, x + 4, x + 6

5 ft = 60 inches

x + (x + 2) + (x + 4) + (x + 6) = 60....combine like terms
4x + 12 = 60
4x = 60 - 12
4x = 48
x = 48/4
x = 12 <==== one 12 inches

x + 2 = 12 + 2 = 14 <== one is 14 inches
x + 4 = 12 + 4 = 16 <== one is 16 inches
x + 6 = 12 + 6 = 18 <== one is 18 inches


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Answer:

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Step-by-step explanation:

The trick you need to know is the theorem that says that if the digits in a number add up to a multiple of 9, then the number itself is divisible by 9.

So we go 4+3+2 = 9.

So as this sum of 9 is divisible by 9, it means 432 is also divisible by 9.

If you want to work out the actual answer of 432 divided by 9, you can estimate it by doing 450 ÷ 9 = 50. Then see that 432 is 18 less than 450. And 18 = 2x9. So the answer to the division is 50-2 = 48.

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3 years ago
ILL BRAINLIEST YOU PLEASE HELP ME
gtnhenbr [62]

Answer:

Option C

The length of RT is 14

Step-by-step explanation:

For a given Right Triangle

m∠R = 90°, RG = 17, TG = 22

Now, <u>By Pythagoras Theorem</u>

(RT)² + (RG)² = (TG)²

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RT = √195

RT = √195 = 13.96 = 14

Thus, The length of RT is 14

<u>-TheUnknownScientist</u>

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gavmur [86]
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