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babymother [125]
3 years ago
9

Determine whether the triangles are similar. If there is sufficient information to determine that the triangles are similar, wri

te a similarity statement and explain your reasoning.

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer: The triangles are similar. They are actually exactly the same.

Step-by-step explanation: (Statement) The reason I know these triangles are similar is because I flipped one up and realized they matched just opposite each other. Then I matched them up they were exactly the same

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There’s no picture so I’ll give my own answers.
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I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

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Drop the exponents:

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Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

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\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

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The following equation is given.
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Answer:

$4.81

Step-by-step explanation:

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