Answer:
240 miles
Step-by-step explanation:
To solve this we need to write an equation. For this problem let <u>d be the distance traveled</u>. We know that the new train (being much more modern than poor old Thomas who is long retired) can go 20% further. To show this we will take 20% of 200 and then add that to the original distance.
Our equation would look something like this:
d=200+(20%·200)
[one more little note: to find percentage take your percent and convert it into a decimal 20%=0.2)
d=200+(0.2·200)
d=200+40
<u>d=240</u>
Answer:
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The corresponding side lengths are related by k(CB) = C'B'.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.
a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.
c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).
d) C'B' = k(CB)
Answer:
x = 6 ,,, 5/9x + 2/3 = 4
Step-by-step explanation:
5x - 8 = 22
5x = 22 + 8
5x = 30
x = 30/5
x = 6
5/9 * 6 + 2/3 =
30/9 + 2/3 =
30/9 + 6/9 =
36/9 =
4
Answer:
y=-2x-2.
Step-by-step explanation:
m= -2 for perpendicular line
m= y2-y1/x2-x1
-2 = y-4/x+3
y=-2x-2