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3 years ago

13

One angle of the triangle is 4 times the second angle. The third angle of the triangle is 30 degrees more than the second angle.

find the measures of all the angles.

1 answer:

Ray Of Light [21]3 years ago

5 0

X+4x+x+30=180
6x=150
X=25

So angles are 25, 100, 55 degrees

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How did you choose the number that each symbol represents

icang [17]

<> greater than and less than
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Don't forget to mark my anwer brainliest if I helped!

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3 years ago

In the following equations <br>solve for x<br>2(x - 1) = 16<br>(3×1) - (5=86) -10

lara31 [8.8K]

Step-by-step explanation:

2(X-1)=16

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4 years ago

First derivative of <br>√{cosec2x).show with full step.

Mice21 [21]

Answer:

$- \sf \displaystyle \: \frac{ \cos(2x) }{ \sin ^{2} (2x)\sqrt{ \csc(2x) } }$

Step-by-step explanation:

we are given a derivative

$\displaystyle \: \frac{d}{dx} ( \sqrt{ \csc(2x) } )$

and said to figure out the first derivative

to do so

recall chain rule:

$\sf\displaystyle \: \frac{d}{dx} (f(g(x)) = \frac{d}{dg} (f(g(x)) \times \frac{d}{dx} (g)$

so we get

$\displaystyle \: g(x) = \csc(2x)$

rewrite the derivative using the chain rule:

$\displaystyle \: \frac{d}{dg} ( \sqrt{ g } ) \times \frac{d}{dx} ( \csc(2x) )$

use square root derivative rule to simplify:

$\displaystyle \: \frac{1}{ 2\sqrt{g} } \times \frac{d}{dx} ( \csc(2x) )$

now we need to again use chain rule composite function derivative to simplify

where we'll take a new function n so we won't mess up two g's and we'll take 2x as n

use composite function derivative to simplify:

$\sf \displaystyle \: \frac{1}{ 2\sqrt{g} } \times \frac{d}{dn}( \csc(n) ) \times \frac{d}{dx} (2x)$

use derivative formula to simplify derivatives:

$\sf \displaystyle \: \frac{1}{ 2\sqrt{g} } \times - \cot(n) \csc(n) \times 2$

substitute the value of n:

$\sf \displaystyle \: \frac{1}{ 2\sqrt{g} } \times - 2\cot(2x) \csc(2x)$

substitute the value of g:

$\sf \displaystyle \: \frac{1}{ 2\sqrt{ \csc(2x) } } \times - 2\cot(2x) \csc(2x)$

now we need our trigonometric skills to simplify

rewrite cot and csc:

$\sf \displaystyle \: \frac{1}{ 2\sqrt{ \csc(2x) } } \times - 2 \dfrac{ \cos(2x) }{ \sin(2x) } \dfrac{1}{ \sin(2x) }$

simplify multiplication:

$\sf \displaystyle \: \frac{1}{ \cancel{ \: 2}\sqrt{ \csc(2x) } } \times \cancel{- 2} \dfrac{ \cos(2x) }{ \sin ^{2} (2x) }$

simplify multiplication:

$- \sf \displaystyle \: \frac{ \cos(2x) }{ \sin ^{2} (2x)\sqrt{ \csc(2x) } }$

4 0

3 years ago

Read 2 more answers

Plzzzzzz answerrrrrr asapppppppp<br> ******will mark brainliest *******

brilliants [131]

The first option is the correct answer

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4 years ago

What is greater than 3:5

andriy [413]

Answer:

They have a common numerator, that is 3. Therefore we can directly conclude that fraction with smaller denominator is greater of the two. Thus 3/5 is greater than 3/6. One way to compare the two fractions would be to both have the same denominator, so that numerators will be easily compared

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers