The best answer I can think of is that a line doesn't have a point where it starts or stops, but instead goes on forever, unlike a ray which has a start or end point but not the other, and a line segment which has a start and stop point. Hope this helps!
Answer and Step-by-step explanation:
The step that was wrong is at C: when Jennifer added the 1 into the parentheses, she forgot to subtract 1 from the 7. The reason she needs to do that is because now, if you compare her equation at C with her original, they're not the same:
Original: x^2 + 2x + 7
Step C: x^2 + 2x + 8
So, Jennifer actually needs to subtract 1 from the 7 if she wants to add 1 into the parenthetical expression:
Correct Step C: (x^2 + 2x + 1) + 7 - 1 = (x^2 + 2x + 1) + 6
Now, the correct vertex form is: (x + 1)^2 + 6
Hope this helps!
Answer:
3:2
Step-by-step explanation:
Triangles ABC and PMN are similar. This is evident from the marks identifying equal angles.
The ratio of the two longest sides is 20:30, or 2:3.
The ratio of the two shortest sides is 12:18, or 2:3.
Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.
The scale factor of the alrger triangle to the smaller triangle is 3:2.
