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:
Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:
1 + 12x - 40 -12x
= 1 - 40
= -39
Answer:
3
Step-by-step explanation:
To find 12.5% of 2 dozen
We convert 2 dozen into a number which would be:
2×1 dozen (1 dozen = 12)
2×12=24
12.5% of 24 will be
10% of 24 will be 24÷10=2.4
2.5% will be 1/4 of 10%
2.5% = 2.4÷4
2.5%=0.6
12.5%=0.6+2.4
12.5%=3
If one is at a speed of 35 mph and the other 60, sum the speeds to work with just one number:
35 + 60 = 95mph
The formula for time is:
Time = Distance / Speed
Time = 855 / 95
Time = 9h (D.)
Hope it helped,
Happy homework/ study/ exam!
