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
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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
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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
Answer:
i would help but im not smart enough sorry
Step-by-step explanation:
Answer:
3 1/3
Step-by-step explanation:
It is 3 1/3 because 2/3 x 5 equals 3.33333333333 which we shorten to 3.3 which equals 3 3/10 which that equals 3 1/3.
Answer:
2/5-1/10 = 3/10
1/5+7/10 = 9/10
Step-by-step explanation:
4/10-1/10 = 3/10
2/10+7/10 = 9/10
Answer:
x=6
y=-5
Step-by-step explanation:
3x+2y=8 equation 1
x-2y=16 equation 2
equation 2+equation1 ; 4x = 24
x = 6
substitution x in equation1 ;
18+2y=8
2y = -10
y = -5
