Well, first of all, the first statement (ABC = ADC) looks like it just says
that the two halves of the little square ... each side of the diagonal ...
are congruent. That's no big deal, and it's no help in answering the
question.
The effect of the dilation is that all the DIMENSIONS of the square
are doubled ... each side of the square becomes twice as long.
Then, when you multiply (length x width) to get the area, you'd have
Area = (2 x original length) x (2 x original width)
and that's
the same as (2 x 2) x (original length x original width)
= (4) x (original area) .
Here's an easy, useful factoid to memorize:
-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by x¹
-- Dilate a shape (2 dimensions) by 'x' . . . multiply area by x²
-- Dilate a solid (3 dimensions) by 'x' . . . multiply volume by x³
And that's all the dimensions we have in our world.
_______________________________
Oh, BTW . . .
-- Dilate a point (0 dimensions) by 'x' . . . multiply it by x⁰ (1)
Answer and explain:
1st person: 70 % throws
70/100x80 = 56 out of 80 throws
2nd person: 60% throws
60/100x80 = 48 out of 80 throws
3rd person 50% throws
50/100x80 = 40 out of 80 throws
56+48+40/80x3 = 77/120
One equation that gives the estimated number of free throws (all the 3 people) is 77 out of 120. The best player will make about 56 out of 80 free throws.
Solve:
Do the parenthesis first, so 4*9=36
Now multiply it by 1.
1*36=36
Final answer: 36
Well, the interseciton of 2 planes would be a line, so it would be like line AB when it goes through the 2 points A and B
