Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"

Since, 

6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
Answer:
C. 0.006 g/cm³
Step-by-step explanation:
As the units tell you, density is the ratio of mass to volume. The volume of the container is found from ...
V = πr²h = π(10 cm)²(25 cm) = 2500π cm³
Then the density is ...
ρ = (50 g)/(2500π cm³) = 1/(50π) g/cm³
ρ ≈ 0.006 g/cm³
_____
<em>Comment on the problem</em>
The "liquid" has about the same density as air pressurized to 75 psi.
Answer:
Step-by-step explanation:
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
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Answer:
9
Step-by-step explanation:
5 x 9 is 45 plus 5 gives you 50