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3 years ago

I need help for number 19, please

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

$\large\boxed{x=-3i}$

Step-by-step explanation:

$(x-i)^5=32(x+i)^5\\\\(x-i)^5=2^5(x+i)^5\qquad\text{use}\ (ab)^n=a^nb^n\\\\(x-i)^5=\bigg(2(x+i)\bigg)^5\iff x-i=2(x+i)\qquad\text{use distributive property}\\\\x-i=2x+2i\qquad\text{add}\ i\ \text{to both sides}\\\\x=2x+3i\qquad\text{subtract 2x from both sides}\\\\-x=3i\qquad\text{chnage the signs}\\\\x=-3i$

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Step-by-step explanation:

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3 years ago

Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, a

beks73 [17]

Answer:

<D = 100

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Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

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Hence the measure of <F is 50°

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