Which triangle is similar to ABC

Mathematics

1 answer:

tankabanditka [31]3 years ago

4 0

The triagle which is similar to ABC id DEF. The first option is correct since thwy have the same measurement of its sides

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5 1/5 - 3 4/7 = A. 2 3/4 B. -2 3/4 C. 1 16/21 D. -1 16/21

matrenka [14]

116/21 hope this helped !

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3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

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3 years ago

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adoni [48]

He received 102.18 dollars

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3 years ago

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What is 8 divided by 2 2/3

babymother [125]

Answer:

Step-by-step explanation: