Mathematics: Find the quotient. 48j 5 k 2 ÷ (-3j 3 k) a) -16j2k b) -16j3k2 c) -16j3k

Find the quotient. 48j 5 k 2 ÷ (-3j 3 k) a) -16j2k

sudotoxic

10.03.2022

For this case we must find the quotient of the following expression:

$\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} =$

We have to:

$\frac {48} {- 3} = - 16$

By definition of power properties we have:

$\frac {a ^ m} {a ^ n} = a ^ {m-n}$

So so:

$\frac {48 * j ^ 5 * k ^ 2} {- 3 * j ^ 3 * k} = - 16 * j ^ {5-3} * k^{2-1}=-16*j^2*k$

Option A

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bale4

16.01.2021

Hi there!

$\large\boxed{x = 60^o}$

We know:

∠AGB ≅ ∠DGC because they are vertical angles. They both are 90°.

∠AGE ≅ FGC because they are vertical angles, equal 30°.

∠BGF ≅ ∠DGE are vertical angles, both equal x.

All angles sum up to 360°, so:

360° = 90° + 90° + 30° + 30° + x + x

Simplify:

360° = 240° + 2x

Subtract:

120° = 2x

x = 60°

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