In order for two triangles to be considered as similar, they must be
- equiangular (all angles equal)
- all sides equal (sss)
- if two pairs of two sides are in proportion or are matching, and one included angle is equal
Q4a) yes, because all the angles are equal (equiangular)
b) yes, because all sides are in matching ratio (so 10/5 is 2, 6/3 is 2 and 8/4 is 2; so they are in matching ratios)
c) yes, because if you plus 60 and 70, you get 130. Minus 180 and 130, you get 50. So, in both triangles the angles will be 60,70 and 50; so they're equiangular
Answer:
C. the cylinder because it has approximately 11.6 less wasted space than the prism.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
d r t
there d 450 t
back d 400 1-t
Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.
