Answer:A
Step-by-step explanation:
The vertical stretch of f(x) to g(x) is a factor of 5
<h3>How to determine the dilation?</h3>
The functions are given as:
f(x) = x
g(x) = 5x
Substitute f(x) = x in g(x) = 5x
g(x) = 5f(x)
In th above equation, the factor is 5.
5 is greater than 1 (this means vertical stretch)
Hence, the vertical stretch of f(x) to g(x) is a factor of 5
Read more about dilation at:
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1 and 4,2 and 3 are the alternate interior angles
You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!
Get m by itself so divide each side by 6
m= 234/6
m=39