The simplest form of 35/56
is 5/8
Answer:
Step-by-step explanation:
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides.
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that.
171 miles + 206 miles = 377 miles
the distance from jacksonville to miami must be less than 377 miles
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:
14
Step-by-step explanation:
You can solve using PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
3(2+5)-5(3)+8=?
3(7)-5(3)+8=?
No exponents
3(7)-5(3)+8=?
21-15+8=?
No division
21-15+8=?
21-7=?
21-7=14
3(2+5)-5(3)+8=14
