40+25+25+70=160 Hope this helps! :)
Answer:
ASA
Step-by-step explanation:
if you understood the other, similar questions now, this one is really, really easy.
we got the confirmation for 2 angles and the side between these angles.
so, angle side angle or ASA
<h3>
Answer: Choice H) 2</h3>
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Explanation:
Recall that the pythagorean trig identity is ![\sin^2 x + \cos^2x = 1](https://tex.z-dn.net/?f=%5Csin%5E2%20x%20%2B%20%5Ccos%5E2x%20%3D%201)
If we were to isolate sine, then,
![\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\](https://tex.z-dn.net/?f=%5Csin%5E2%20x%20%2B%20%5Ccos%5E2x%20%3D%201%5C%5C%5C%5C%5Csin%5E2%20x%20%3D%201-%5Ccos%5E2x%5C%5C%5C%5C%5Csin%20x%20%3D%20%5Csqrt%7B1-%5Ccos%5E2x%7D%5C%5C%5C%5C)
We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations,
Cosine is also positive in this quadrant.
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So,
![\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B1-%5Ccos%5E2x%7D%7D%7B%5Csin%20x%7D%2B%5Cfrac%7B%5Csqrt%7B1-%5Csin%5E2x%7D%7D%7B%5Ccos%20x%7D%5C%5C%5C%5C%5Cfrac%7B%5Csin%20x%7D%7B%5Csin%20x%7D%2B%5Cfrac%7B%5Ccos%20x%7D%7B%5Ccos%20x%7D%5C%5C%5C%5C1%2B1%5C%5C%5C%5C2)
Therefore,
![\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B1-%5Ccos%5E2x%7D%7D%7B%5Csin%20x%7D%2B%5Cfrac%7B%5Csqrt%7B1-%5Csin%5E2x%7D%7D%7B%5Ccos%20x%7D%3D2)
is an identity as long as 0 < x < pi/2
Step-by-step explanation:
Here is the answer to your question.
<u>Define x:</u>
Let one of the numbers be x.
The other number is x + 2
<u>Construct equation:</u>
<span>twice the smaller is 16 more than the larger
</span>⇒2x = x + 2 - 16
<u>Solve x:</u>
2x = x + 2 - 16
x = -14
<u>Find the two numbers:</u>
Smaller number = x = -14
Larger number = x + 2 = -12
Answer: The two numbers are -14 and -12