helperid1839321

BC can be counted as "negative" years, so going back in time makes them increase. That means the man's father was born in 485 BC.

BD = \(\sqrt{3x^{2}-3x+10}\) . This is because, with the Pythagorean theorem, you add the 2 legs of a right triangle and take the square root to get the hypotenuse of it. This only applies if ABCD is a rhombus.

I can solve for x and y here!

This is an equilateral triangle. All angles = 60 degrees. So we know 25x - 15 = 60. To find x, we need to isolate and then divide by the coefficient. To isolate, we add 15. After we do that, we divide by the coefficient, 25. Can you finish it?

(☞ ͡ ͡° ͜ ʖ ͡ ͡°)☞ What do you think of that?

Since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.

Cool! I didn't even see the fact the triangle was isosceles! I grant you one wish. (∩ ͡° ͜ʖ ͡°)⊃━☆

This is an isosceles triangle. That means the 2 sides touching the = angles have equal length. That means we know \(4x+4=6x-14\) .

To solve, we need to find x. I'll just quickly go through this: \(4x+4=6x-14\rightarrow4 = 2x - 14\rightarrow18=2x\rightarrow x=9\) .

Now that we have x by setting the 2 sides equal to each other, we know the length of the bottom side by substituting 9 in for x, giving us \(2x+7=2(9)+7=18+7\rightarrow x =24\) .

The sum of angles in a triangle adds up to 180 degrees. So we can subtract 60 to get 120 = 5x + 2y. Now we need to solve for y. Y is on the same side of the equation as x, so we need to move the x by subtracting 5x. Then we have 2y = 120 - 5x. Last, we need to divide by 2, as that is the coefficient of y. Now, we have y = 60 - 2.5x.

Random fact: Whenever I hear the word "stab", my mind replaces it with the word "shank". Is something wrong with me?

Your profile picture looks like a neurographic drawing of what happens when an evil force overcomes a small, yellow chubby being.