Answer:
B. x ≥ 1
Step-by-step explanation:
Step 1: Subtract 6x from both sides
4x + 16 ≥ 20
Step 2: Subtract 16 from both sides
4x ≥ 4
Step 3: Divide both sides by 4
x ≥ 1
And we have our answer!
Answer:
B, C, and E
Step-by-step explanation:
Let's consider each option given the graph shown above:
A. The ratio of x/y can be found using any point on the line, say, (5, 6). Thus, ratio of x/y = 5/6, not 6/5.
Option A is not correct.
B. If you check for y/x for any given point along the line, we would have the same result. So the ratio of y/x is consistent. Option B is correct.
C. The graph has a line that runs through the point of origin, so therefore, it represents a proportional relationship.
Option C is correct
D. If option C is correct, then option D is not correct.
E. If option C is correct, then option E is correct.
= 2.31(5.82+4.18+90)/ 2.31*0.55
=2.31*100/ 2.31* 0.55
=1*100*0.55
=100*0.55
=55
Answer:
F. 8
Step-by-step explanation:
The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.
BD/DE = AD/BD
h/4 = 16/h
h^2 = 64 . . . . . . . multiply by 4h
h = 8 . . . . . . . . . . take the square root (matches selection F)
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<em>Comment on this geometry</em>
BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:
BC = √(AC·DC)
BA = √(AC·AD)
