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4 years ago

Given that x is a whole number, Molly conjectured that x3>3x+3 . Which value is a counterexample to Molly's conjecture?\

Mathematics

2 answers:

stealth61 [152]4 years ago

5 0

C. 2 ............................

sleet_krkn [62]4 years ago

4 0

Ur counter example would mean making that conjecture false.

x^3 > 3x + 3....subbing in 2
2^3 > 3(2) + 3
8 > 6 + 3
8 > 9....this is not true...so ur answer is C. 2

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Solution:

Given $\triangle A B C \sim \triangle D B E$

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

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Do cross multiplication, we get

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Subtract 30x from both sides of the equation.

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