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Phoenix [80]
3 years ago
10

The sum of 2 consecutive #s is 1893. Find the numbers

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

n=946 and n=947

Step-by-step explanation:

n + (n+1) = 1893.

2n + 1 = 1893.

2n + 1 - 1 = 1893 - 1.

2n = 1892

2n/2= 1892/2

n=946

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The lengths of the diagonals of rectangle ABCD intersect at E. If AE =x+4 and CE= 3x-12. What is the length of BD?
swat32

Answer:

DB = 24

Step-by-step explanation:

First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.

Also, AE + CE = CA

So, using this, we can write this equation:

AE = CE

x + 4 = 3x -12

Subtract 4 from both sides.

x = 3x -16

Subtract 3x from both sides.

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Divide both sides by -2

x = 8

Then, substitute this into AE + CE = CA

x + 4 + 3x - 12 =

8 + 4 + 24 - 12 = 24

Then, because CA = DB,

DB = 24

I hope this helps! Feel free to ask any questions! :)

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3 years ago
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Answer:

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3 years ago
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3(2x+8)=8x+46 answer
MrMuchimi
3(2x+8)=8x+46
6x+24=8x+46
-2x+24=46
-2x=22
x=-11

3(2(-11)+8)=8(-11)+46
3(-22+8)=-88+46
3(-14)=-42
-42=-42

Hope I didn't mess up for your sake
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Step-by-step explanation:

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