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Usimov [2.4K]
3 years ago
11

Given: If the basketball player makes the shot, then the team will win the game.

Mathematics
1 answer:
rodikova [14]3 years ago
7 0

Answer:

if the basketball player makes the shot, then the team will advance to the playoffs (option d)

Explanation:

statement a is incorrect because the reverse of a statement is not always true. for example, all girls are humans but not all humans are girls. as such, we do not know that if the basketball player does not make the shot, the team will not win the game.

statement b is also incorrect, and uses a similar line of reasoning as statement a.

statement c is incorrect as well, and also uses the same reasoning as statements a and b.

statement d is correct. the reasoning used here is that if [x], then [y]. if [y], then [z]. thus, if [x], then [z].

i hope this helps! :D

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Determine if line AB is tangent to the circle. Type
adoni [48]

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

6 0
3 years ago
Select all expressions that represent a correct solution to the equation 6(x+4)=20
Sergeeva-Olga [200]

Answer:

D. 20 ÷ 6 − 4

E. 1/6(20 − 24)

F. (20−24) ÷ 6

Step-by-step explanation:

6(x + 4) = 20

6(x) + 6(4) = 20

6x + 24 = 20

     - 24  - 24

6x = -4

/6    /6

x = -4/6 or x = -2/3

D. 20 ÷ 6 − 4

20/6 - 4

20/6 - 24/6

-4/6 = -2/3

E. 1/6(20 − 24)

1/6(-4)

-4/6 = -2/3

F. (20 − 24) ÷ 6

- 4 / 6

-4/6 = -2/3

Hope this helps!

3 0
2 years ago
What is the distance between the points? Round to the nearest 10th if necessary
Ulleksa [173]

Step-by-step explanation:

because

√(11)²+9²=√202=14,2

4 0
3 years ago
A lock on a fence door has a 4 digit combination. Each digit can be any number
Bas_tet [7]

Answer:

D. 9990 possible combinations

Step-by-step explanation:

The first digit has 10 choices (can be all of them), the second digit also has 10 choices. The third and fourth digits also have 10 choices.

Multiply them together you get 10*10*10*10 = 10000 possible combinations.

But since all 4 characters cannot be the same, we subtract 10 from 10000 (there are 10 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, and 0000) and we get 9990.

6 0
3 years ago
Read 2 more answers
The sum of two consecutive odd integers is at least 16
elena-14-01-66 [18.8K]
Odd integers are represented by 2n+1 where n is a whole number

consecutive odd are 2 apart so
they are 2n+1 and 2n+1+2

the sum of them is at least 16
2n+1+2n+1+2<u>></u>16
4n+4<u>></u>16
minus 4
4n<u>></u>12
divide 4
n<u>></u>3
sub back

2n+1 and 2n+3
2(3)+1 and 2(3)+3
6+1 and 6+3
7 and 9

they have to be at least 7 and 9
5 0
3 years ago
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