Answer:
A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.
B) 158.3ft
Step-by-step explanation:
A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.
B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)
I truly hope this helps! :)
f(x) = 3/(x + 2) - √x - 3
f(7) = 3/(7 + 2) - √7 - 3
f(7) = 3/9 - √4
f(7) = 0.333 - 2
f(7) = -1.67
Answer:

Step-by-step explanation:


She used 3/8 of the cheese. Since she used 1/2 <em>of</em> 3/4, you multiply 3/4 times 1/2. If you multiply straight across, the answer should be 3/8. If you need further explanation, just ask! Hope this helps! =D :D
I know of two ways to solve quadratic equations. The first is through factoring. Let us take the example (x^2)+2x+1=0. We can factor this equation out and the factors would be (x+1)(x+1)=0. To solve for the roots, we equate each factor to 0, that is
x+1=0; x+1=0
In this case, the factors are the same so the root of the equation is
x=1.
The other way is to use the quadratic formula. The quadratic formula is given as [-b(+-)sqrt(b^2-4ac)]/2a where, using our sample equation above, a=1, b=2 and c=1. Substitute these to the formula, and you will get the same answer as the method above.