Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC =
(2x + 13) =
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
Recall that
.
If you know the Maclaurin series for
, finding this expansion should be easy.
Answer:
2/10 = 1/5
Step-by-step explanation:
To figure out the probability of something, we can take
(number of outcomes of that something) / (number of total outcomes)
Here, we are trying to find the probability that the ball is white. The number of outcomes that are possible with the ball being white is 2, as there are two white balls and you can only pick one. You can pick either of the two white balls, but there is no way to pick one of them two times, pick two of them at once, or pick any other ball and have it be white.
The number of total outcomes is 10. There are 10 balls, and you can only pick one ball at a time. There are only 10 options to choose from.
Therefore, we can plug our numbers into the formula above and get 2/10 = 1/5 as our probability
For this case, the first thing you should know is that there are two possible cases:
Case 1:
If 0 <k <1 then there is a reduction of the orignal figure.
Case 2:
If k> 1 then there is an expansion of the originial figure.
Therefore, in this case, the scale factor that represents a reduction is given by:
k = 3/4 = 0.75 (0 <k <1)
Answer:
the dilation that would represent a reduction is:
C. k = 3/4