Let 'x' represent the total distance from point A to point B
During the first hour he gets 0.25 of the way there: 0.25x
During the second hour he covers an additional 0.2 of the distance: 0.2x
During the third hour, he covers 0.3 of the distance: 0.3x
The total distance the biker traveled is:
0.25x + 0.2x + 0.3x = (0.25 + 0.2 + 0.3)x = 0.75x
The biker has: x - 0.75x = (1 - 0.75)x = 0.25x of the total distance left to go.
Answer:
D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.
Step-by-step explanation:
After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.
100/99 is one, there are infinite answers though
Ascending order= 6, 8, 12, 12, 12, 16
No of observations (n) = 6
Median = Mean of the values of (n/2) and (n/2+1)
= Mean values of 3rd and 4th values
= 12+12/2
= 12
Therefore, median = 12
Mode = Most number of observations= 12
The answer is III only, or D.
We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D.
