Step-by-step explanation:
Answer is k>-1
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
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<em>Comment on the question</em>
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
Heya!
Here is your answer:
2 ×
+10
we know that,
= 9
so,
2×9 +10
According to BODMAS (bar, Order, division, multiplication, addition, subtraction)
we multiply 2×9 = 18
then,
18+ 10
= 28
They are supplementary angles. Aka equal to 180 degrees.
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
___
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