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mrs_skeptik [129]
3 years ago
12

There are 9 basketball teams in a school district. If each team plays each other exactly one, how many games are played?

Mathematics
1 answer:
kow [346]3 years ago
5 0
8+7+6+5+4+3+2+1=36 games.I counted down. 1st team plays against the other 8 teams, then the next plays against every team besides the 1st team, the third goes against the 6 other teams that it hasn't faced and so on.
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AB and AC are tangent. Find AB
LuckyWell [14K]

Answer:

AB =  \frac{11}{2}

Step-by-step explanation:

Given

The above diagram

AB = 3y + 4

AC = 11y

Required

Determine length AB

Tangents drawn from the same point of a circle are equal;

<em>This implies that</em>

AB = AC

Substitute values for AB and AC

3y + 4 =11y

Subtract 3y from both sides

3y - 3y + 4 = 11y - 3y

4 = 8y

Divide both sides by 8

\frac{4}{8} = \frac{8y}{8}

\frac{4}{8} = y

\frac{1}{2} = y

Substitute \frac{1}{2} for y in AB = 3y + 4

AB = 3 * \frac{1}{2} + 4

AB =  \frac{3}{2} + 4

AB =  \frac{3 + 8}{2}

AB =  \frac{11}{2}

8 0
3 years ago
Find the area of the circle.<br> 10 cm<br> Area =__ cm2
Sophie [7]

Answer:

100cm2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is 13 units. The point
baherus [9]

The standard form of the equation of circle is:

(x – h)^2 + (y – k) ^2 = r^2 

Where the center being at the point (h, k) and the radius being r

Substituting the values to the equation:

<span>(-15 - (-7)) ^2 + (y – (-1)) ^2 = 13^2 </span>

64 + (y +1) ^2 = 169

(y +1) ^2 = 105

y + 1 = 10.247

<span>y = 9.247</span>

3 0
3 years ago
Lisa, Pablo, and Chau sent a total of 91 messages during the weekend. Chau sent 2 times as many messages as Lisa and Pablo sent
spin [16.1K]

Answer: Lisa has 23 Pablo has 18 and Chau has 182

Step-by-step explanation: if you multiply 91 times 2 you get 182 for Chau, next if you take 5 and divide it by 90 you get 18 for Pablo lastly if you take 18 and add it by 5 you get 23 for Lisa

6 0
3 years ago
The area of a rectangle is 63m squared,and the length of the rectangle is 5 m more than twice the width.Find the dimensions of t
Natalija [7]
Given:
Area(A)= 63m^2
Length (L)= 2W+5
Width (W)=?

A=LxW
63=(2W+5)(W)
63=2W^2 + 5W
0=2W^2+5W-63
0=(2W-9)(W+7)
2W-9=0 then W=4.5 and W+7=0 then W=-7
Can only use 4.5 since it is positive and distance is positive.
W= 4.5 m
L=2W+5=2 (4.5)+5=9+5=14m

7 0
4 years ago
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