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anygoal [31]
2 years ago
6

The sum of two positive integers is 18 and their difference is 2. What is the larger number?​

Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

10

Step-by-step explanation:

we call the numbers x and y

then from the given data:

x+y=18

x-y=2

we add both sides of both equations

x+y+x-y=20

2x=20

x=10

we use the first equation:

10+y=18

then y=8

the larger number is x=10

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Gnesinka [82]
When you are checking your answers, your formula should read out as 9(2.222) - 8 = 12, which is simply filing in the x value that you calculated (it comes out to 11.998 which is correct). You wrote it out as 9(2.22) - 8 = -6, which is why your checking process was incorrect 
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3 years ago
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A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
Anestetic [448]

The opposite angles of the cyclic quadrilateral are equal to 180 degrees which are supplementary angles.

<h3>What is a cyclic quadrilateral?</h3>

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.

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More about the cyclic quadrilateral link is given below.

brainly.com/question/15061291

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8 0
2 years ago
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

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8 0
3 years ago
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Sav [38]
Heya!

Here is your answer:

6a²-15a-8a+20


= 3a(2a-5) -4(2a-5)

= (3a-4)(2a-5)

:)
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3 years ago
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