Answer:
To show that M is really the midpoint of the line segment PQ, we need to show that the distance between M and Q is the same as the distance between M and P and that this distance is half the distance from P to Q
Step-by-step explanation:
The midpoint M is then defined by M = ((x + X)/2,(y + Y)/2)
The last one is a function. A rule for functions is that there can only be one x value or coordinate but there can be multiple y values or coordinates.
You inspect the series that you have, very carefully.
-- You notice that 9 was <em><u>increased by 2</u></em> to get 11.
-- You notice that 11 was <em><u>increased by 2</u></em> to get 13.
-- You notice that 13 was <em><u>increased by 2</u></em> to get 15.
-- You notice that 15 was <em><u>increased by 2</u></em> to get 17.
By now, it begins to dawn on you. You say to yourself "Self ! I'll just bet
that each term has to be increased by 2 in order to get the next term."
Acting on that assumption, you set out on your flight of prediction:
-- You take the last term, 17, increase it by 2,and get 19.
-- You take the new term that you have created, 19,
increase it by 2, and get 21.
-- You take the 2nd new term that you have created, 21,
increase it by 2, and get 23.
Now you have the three new terms, and that's all you were asked for.
But you're just getting warmed up. Nothing can stop you now.
25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49,
51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75,
77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101
Suddenly, you stop ! You just realized that this is not the ONLY
possible pattern that would produce the same first 5 numbers.
Answer:
20
Step-by-step explanation:
We can use similar triangles
12/3 = x/5
x = 20
