(rs)(4)=(2rootX)(rootX)
(rs)(4)=2x
(rs)(4)=8
(r/s)(3)=(2rootX)/(rootX)
(r/s)(3)=2
Answer:
C.) All squares are rectangles
Step-by-step explanation:
Rectangles
-4 sides
-the length of opposite sides are equal
-the opposite sides are parrallel to each other
-all angles in a rectangle are 90°
Squares have all the characteristics needed in a rectangle
Answer:
x^3-x^2-22x+10
Step-by-step explanation:
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.
