Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
The answer to your question is 2
C. Similar - AA
There is no information given that shows differences between the two triangles so you can assume that they're similar. The two angles are next to each other with no side interrupting them, and no side length is given, therefore the answer is Similar - AA (angle - angle)
<span>A) 3 - The third sock will match the first or second if they don't match each other.
B) 14 - It's highly unlikely yet possible to remove all brown socks first, the next two would have to be black.</span>
