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.
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!
Step-by-step explanation:
because
√(11)²+9²=√202=14,2
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.
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