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2 years ago

7

Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6

x units, and AB = 2x + 4 units

1 answer:

erastovalidia [21]2 years ago

5 0

AC = 18

BC = 6x

AB = 2x + 4

Write and solve:

18 + 6x + 2x + 4

18 + 8x + 4 = 180

You can solve further:

18 + 8x = 176

8x = 158

x = 19 & 3/4

Not 100% sure what the question is asking, but hopefully this helps.

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Answer:

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Read 2 more answers

Harmonic mean if a number h such that (h-a)/(b-h)=a/b Prove h is H(a,b) iff satisfies either relation a. (1/a)-(1/h) = (1/h) - (

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A.

$\displaystyle\frac1a-\frac1h=\frac1h-\frac1b$
$\implies\displaystyle\frac{h-a}{ah}=\frac{b-h}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac{ah}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac ab$

b.

$\displaystyle h=\frac{2ab}{a+b}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{\frac{2ab}{a+b}-a}{b-\frac{2ab}{a+b}}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{2ab-a(a+b)}{b(a+b)-2ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{ab-a^2}{b^2-ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{a(b-a)}{b(b-a)}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac ab$

The other direction can be proved by following the manipulations in the reverse order.

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2 years ago

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Hello!

The answer to your question is A. Elimination.

Have a good day! -Wajiha

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