Answer: 7
Step-by-step explanation:
They are alternate interior angle
2x + 5 = 3x -2
2x = 3x -7
-x = -7
x = 7
Answer:
Hour 3
4 * 2 = 8
Hour 4
8 * 2 = 16
Hour 6
32 * 2 = 64
Hour 7
64 * 2 = 128
Hour 12
2048 * 2 = 4096
Step-by-step explanation:
We are told that initially there is a bacterium that doubles every hour, so let's calculate what happens in the first 12 hours every hour.
Hour 0
one
Hour 1
1 * 2 = 2
Hour 2
2 * 2 = 4
Hour 3
4 * 2 = 8
Hour 4
8 * 2 = 16
Hour 5
16 * 2 = 32
Hour 6
32 * 2 = 64
Hour 7
64 * 2 = 128
Hour 8
128 * 2 = 256
Hour 9
256 * 2 = 512
Hour 10
512 * 2 = 1024
Hour 11
1024 * 2 = 2048
Hour 12
2048 * 2 = 4096
We can deduce that the growth of the bacteria is:
2 ^ n
where n is the # of time that has passed
9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
To get the answer you got to get the distance
I is -19
J is -11.1
K is 7.5
to get IJ you must subtract; 19-11.1
to get JK you must add 7.5 and 11.1
IJ= 7.9
JK= 18.6
