Answer:
31
Step-by-step explanation:
1/4 of 124, ¨of¨¨ represents multiplication
so 1/4*124=124/4
which 124 divided by 4 equals 31
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: 3(3x−4) is the answer
Answer: He needs a minimum of 2011.25 hours
Step-by-step explanation:
In order for Gavin to get his private pilot certificate he must fly solo.
He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.
He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours
To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes
2020 - 8.75 = 2011.25.
He needs a minimum of 2011.25 hours
