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diamong [38]
3 years ago
10

Point C divides AB into two segments with lengths that form which ratio?

Mathematics
1 answer:
erica [24]3 years ago
4 0

Answer:2:3

Step-by-step explanation:

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In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant
Nina [5.8K]

Answer:

<em>5</em><em> players participated in the tournament.</em>

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

=\ ^nC_2

As they played 2 games with every other participant in the tournament.

So the total number of games is,

=\ 2\times ^nC_2

But it is given to be 20, so

\Rightarrow \ 2\times ^nC_2=20

\Rightarrow \ ^nC_2=10

\Rightarrow \dfrac{n!}{2!(n-2)!}=10

\Rightarrow \dfrac{n(n-1)}{2}=10

\Rightarrow {n(n-1)=20

As 5\times 4=20, so we get n=5.

Therefore, 5 players participated in the tournament.

5 0
2 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
vova2212 [387]

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

m1*m2=-1

Step 1

<u>Find the slope of the given line</u>

we have

3y=-4x+2

Solve for y

Divide by 3 both sides

3y/3=(-4x+2)/3

y=-\frac{4}{3}x+ \frac{2}{3}

the slope of the given line is m1=-\frac{4}{3}

Step 2

<u>Find the slope  of a line that is perpendicular to the given line</u>

we have

m1=-\frac{4}{3}

m1*m2=-1

m2=-1/m1

substitute the value of m1

m2=-1/(-4/3)=\frac{3}{4}

therefore

<u>the answer is</u>

the slope is \frac{3}{4}

4 0
3 years ago
The perimeter of a square garden is (20k+36) feet. Write an expression
sertanlavr [38]

Answer:

5k+9

Step-by-step explanation:

Since it's a square, all four sides are equal so divide the equation of the total by 4.

20k/4=5k

36/4=9

The length of one side of the garden can be represented by the expression:

5k+9

5 0
2 years ago
Is -2.74 a rational number?
Zinaida [17]
Yes, i<span>n mathematics, a </span>rational number<span> is any </span>number<span>that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.</span>
5 0
3 years ago
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A sofa is on sale for $283.80, which is
ikadub [295]
283.80 + 67% = 473.94
I believe that is it
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3 years ago
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