Answer:
x = 13
Step-by-step explanation:
Sum or interior angles of a triangle is 180,
6x + 19 + 5x - 15 + 3x - 6 = 180
6x + 5x + 3x + 19 - 15 - 6 = 180
14x + 19 - 21 = 180
14x - 2 = 180
14x = 180 + 2
14x = 182
x = 182 / 14
x = 13
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
I think it's 2x/4 (1x/2 if simplified). if it's multiple choice that's what I'd go with and if that answer is wrong then sorry
Step-by-step explanation:
x•2 is 2x because you don't know the value x and you still have to divide by four. when simplified, 2/4 is 1/2 so it'd be 1x/2
Answer:

<u>Or in Decimal:</u>

Step-by-step explanation:
<u>Given expression :-</u>

<u>Solution :-</u>

This arithmetic expression may be rewritten as ;

Step 1 : <u>Cancel the zero of 10 and one zero of 100</u> :-

<em>Results to;</em>


Step 2: <u>Cancel 26 and 10</u><u> </u><u>by 2</u> :-

<em>Results to;</em>


<em>It can also be in Decimal.</em>
That is;

Hence, the answer of the expression would be 13/5 or 2.6 .

I hope this helps!
Let me know if you have any questions.
I am joyous to help!