9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
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This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
Step-by-step explanation:
5(r + 9) - 2(1 - r) = 1
5r + 45 - 2 + 2r = 1
7r + 43 = 1
7r = -42
r = -6.
Answer: The required length of steel is 270 cm.
Step-by-step explanation:
Since we have given that
Number of stems = 6
Length of each stem = 45 cm
So, we need to find the length of steel used in the frame.
So, Length of steel = Number of stems × Length of each stem
So, the length of steel becomes

Hence, the required length of steel is 270 cm.
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.