Answer:
2/6 - simplified fraction=1/3
Step-by-step explanation:
Answer:
CD = 14 cm; DE = 21 cm
Step-by-step explanation:
The perimeter is the sum of side lengths (in centimeters), so ...
CD + DE + CF + EF = 55
CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF
CD + DE = 35 . . . . . . . . . . . . . . subtract 20
___
The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...
CD/DE = CF/EF = 8/12 = 2/3
___
So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...
CD = 2·7 cm = 14 cm
DE = 3·7 cm = 21 cm
<em>Check</em>
CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements
<span>6n – 11 > 31
</span><span>6n > 31 + 11
</span>6n > 42
n > 42/6
n > 7
Answer:
A
Step-by-step explanation:
Random numbers for a simulation might come from
1) a table of random numbers
2) a computer random number generator, such as ones available in many spreadsheet programs
3) digitizing the noise of the Universe. Such random numbers are available on some web sites.
