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.
I think the answer maybe 9t+5x
Answer:
Step-by-step explanation:
19,805 rounded to the nearest ten is 19,810
19,805 rounded to the nearest hundred is 19,900
19,805 rounded to the nearest thousand is 20,000
Answer:
The answer is option C
Step-by-step explanation:
x² - 7x + 10
To factor the expression rewrite - 7x as a difference
That's
x² - 5x - 2x + 10
<u>Factor out x from the expression</u>
x( x - 5) - 2x + 10
<u>Factor - 2 from the expression</u>
x(x - 5) - 2( x - 5)
Factor out x - 5 from the expression
The final answer is
<h3>( x - 2)(x - 5)</h3>
Hope this helps you
