Answer:
Question 1
x = 8
Question 2
x = 3
Step-by-step explanation:
Question 1
3 / 2 = 12/ X
3 * X = 12 * 2
3x = 24
3x / 3 = 24 / 3
x = 8
Question 2
x / 7 = 9 / 21
21 * X = 9 * 7
21 x = 63
21x / 21 = 63 / 21
X = 3
(0+1+2+3+4) /5 = 2
Hope this helps!
In order to confirm which of the given above is an identity, what we are going to do is to check them each. By definition, an identity<span> is an equality relation A = B.
After checking each options, the answers that are considered as identities would be options C and D. So here is how we proved it. Let's take option C.
</span><span>cos^2(3x)-sin^2(3x)=cos(6x)
cos^2(3x)-sin^2(3x)=cos(2*3x)
cos^2(3x)-sin^2(3x)=cos(3x+3x)
cos^2(3x)-sin^2(3x)=cos(3x)cos(3x)-sin(3x)sin(3x)
cos^2(3x)-sin^2(3x)=cos^2(3x)-sin^2(3x)
</span>So based on this, we can conclude that <span>cos^2 3x-sin^2 3x=cos6x is an identity.
This is also the same process with option D.
Hope this answer helps.</span>
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