Answer:
B' (16, 14)
Step-by-step explanation:
<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>
<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>
<em />
There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:
<u>Midpoint of AC:</u>
Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>
<em>Equate this to the midpoint of AC:</em>
<em>(x+2)/2=5</em>
<em>x+2 = 10</em>
<em>x = 8</em>
<em />
<em>and</em>
(y+1)/2=4
y+1=8
y = 7
Thus, B(8,7)
<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>
Answer:
2
Step-by-step explanation:
7 goes into 14 2 times
Answer:
81
Step-by-step explanation:
The term "of" can be translated to multiplication in problems like this.
So it's essentially saying multiply 45% to 180 and give me the result.
45% can be written as 45/100 in fractions (45 percent, where cent means 100 and per means division). 45/100 can be written as 0.45 in decimal form.
Now the problem reads 0.45 X 180. Using a calculator, we can solve this and the result comes out to be 81
<span> 2 (a+4)+6a=48
2a + 8 + 6a = 48
8a = 40
a = 5</span>
The correct answer is C.
A parallelogram has 2 pairs of opposite, equal, and parallel sides and a rectangle has 2 pairs of opposite, equal, and parallel sides BUT it also forms right angles between adjacent sides. In other words a rectangle is everything that a parallelogram is but with a little more, so the parallelogram would be inside of the rectangle. (if that makes any sense?)
