Step-by-step explanation:
this problem seeks to test our knowledge on word problems and algebra
<u>Solution</u>
let the base be x, and
the height h = 2x+4
We know that area of a triangle is given as
![A= \frac{1}{2} b*h](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20b%2Ah)
substituting our given values we have
![168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\](https://tex.z-dn.net/?f=168%3D%20%5Cfrac%7B1%7D%7B2%7D%20x%2A%282x%2B4%29%5C%5C%5C%5C168%3D%20%5Cfrac%7B2x%5E2%2B4x%7D%7B2%7D%20%5C%5C%5C%5C168%3D%20x%5E2%2B2x%5C%5C%5C%5C)
re-arranging we have
![x^2+2x-168=0\\\\](https://tex.z-dn.net/?f=x%5E2%2B2x-168%3D0%5C%5C%5C%5C)
we can now find two factors that will add up to give 2 and multiply to give -168
they are 14 and -12
The possible base of the triangle is 14 in
and the height is
![h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in](https://tex.z-dn.net/?f=h%3D%202x%2B4%5C%5C%5C%5Ch%3D2%2814%29%2B4%5C%5C%5C%5Ch%3D%2028%2B4%5C%5C%5C%5C%5Ch%3D%2032%20in)
Answer:
They are the similar because 2 of their angles are identical and that means that the third angles have to be the same also.
It's C I'm pretty sure and this in English not math
Answer:
-10y + 11.6
Step-by-step explanation: