Answer:
The first and third answers are correct
Step-by-step explanation:
First answer=11/4=2.75
Second answer=4/9=0.444...
Third answer=4/3=1.333...
Fourth answer=5/9=0.5555555556
2/3=0.66666666667
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
10% of 140 is 14 so just add 14 to 140
140+14=154.
