Answer:
x=8
Step-by-step explanation:
we know that
If Quadrilateral RSTU is a rectangle
then
The measure of angle STU is a right angle
m∠STU=90°
m∠STU=m∠STR+m∠RTU
so
m∠STR+m∠RTU=90° -----> complementary angles
substitute the given values
(3x-2)+(8x+4)=90°
Solve for x
11x+2=90
11x=90-2
11x=88
x=8
Answer:
Option C. 1,024 bacteria
Step-by-step explanation:
We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;
So, Number of bacteria after one hour = 4 * 2 = 8
Number of bacteria after two hours = 8 * 2 = 16
Number of bacteria after three hours = 16 * 2 = 32
Number of bacteria after four hours = 32 * 2 = 64
Number of bacteria after five hours = 64 * 2 = 128
Number of bacteria after six hours = 128 * 2 = 256
Number of bacteria after seven hours = 256 * 2 = 512
Number of bacteria after eight hours = 512 * 2 = 1,024
Therefore, 1,024 bacteria exist in the culture after 8 hours .
Little of, not in plethora, small numbered
I believe you only need to know one angle.
For example, if you know angle 1, you can calculate angle 3. Angle 2 = angle 3 and angle 4 = angle 1.
Also, Angle 5= angle 1 and so on...
Use PEMDAS. So it would then simplify to [100+(586+4)]/5<19 then continueing that it would be [100+590]/5<19 and then 690/5<19 which finally will be 138<19 and that is a valid statement