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.
Answer:
Total number of matches = 306 matches
Step-by-step explanation:
Given:
Total number of team = 18
Per team number of play = 2
Find:
Total number of matches
Computation:
Total number of matches = [(Total number of team x 2)(Total number of team -1)]/2
Total number of matches = [(18 x 2)(18-1)]/2
Total number of matches = 612 / 2
Total number of matches = 306 matches
Using quadratic formula
x = [-18 +-sq root (324 -4 *3*15)] / 2*3
x = [-18 +-sq root (144)]/6
x1 = (-18 + 12) / 6 = -1
x2 = (-18 -12) / 6 = -30/6 = -5
Its a distributive propertyyyyyyy.
Answer:
B
Step-by-step explanation:
2/5 (10x + 15) = 26
Distribute the 2/5
4x + 6 = 26
4x = 20
x = 5
