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3 years ago

38 plus what equals 99

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

To figure that out you could do 99 minus 38, which would lead you to your answer 61.

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Step-by-step explanation:

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Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.

Olin [163]

Answer:

Coordinates of G = $(2,0)$

Step-by-step explanation:

Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).

To find: coordinates of G

Solution:

Midpoints of a side joining points $(a,b),\,(c,d)$ are given by $(\frac{a+c}{2},\frac{b+d}{2})$

Diagonals of a parallelogram bisect each other.

So,

Midpoint of DF = Midpoint of EG

Midpoint of DF = $(\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})$

Midpoint of EG = $(\frac{-3+x}{2},\frac{1+y}{2})$

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Therefore,

$(\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0$

So,

Coordinates of G = $(2,0)$

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2 years ago

One number is three less than four times another. If their difference is 48, what is the larger number?

givi [52]

Answer:

Step-by-step explanation:

Let x be the number and y be the another one.

x=4y-3

x-y=48

Substitute x=4y-3 into x-y=48

(4y-3)-y=48

3y=51

y=17

[Since we know x is larger than y (4y-3), we need to use y to calculate out x.]

Substitute y=17 into x=4y-3

x=68-3

x=65

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eduard

Answer:

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Step-by-step explanation:

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