Answer: D. (4,3)
The x coordinates of A and B are 9 and -1 in that order. Add them up to get 9+(-1) = 9-1 = 8. Then divide by two to end up with 8/2 = 4. The midpoint has an x coordinate of 4.
Repeat for the y coordinates. Add them up: 8+(-2) = 8-2 = 6. Then divide by two: 6/2 = 3. The midpoint has an y coordinate of 3.
Those two coordinates pair up to get (x,y) = (4,3) which is the midpoint of segment AB.
Answer:
X= -13
Step-by-step explanation:
What goes into the bowl . . .
-- granola . . . 9-1/3 pounds
-- nuts . . . . . 9-1/3 pounds
-- raisins. . . . 9-1/3 pounds
How much is in the bowl all together ?
(9-1/3) + (9-1/3) + (9-1/3) = 27-3/3 = <em>28 pounds</em> .
After stirring, mixing, shaking, and resting, how much is
still in the bowl ?
Still 28 pounds. Nothing else went in, and nothing came out.
After a month, nobody has come into the store yet asking to buy
28 pounds of trail mix. So before it spoils or gets soggy, they decide
to split it up into 14 smaller packages, and see if more people will
buy smaller packages.
They make all of the small packages exactly equal.
How much trail mix is in each one ?
(28 pounds) divided by (14 packages) = <em>2 pounds/package</em>
The angle (2y - 5)° and 95° are vertical angles, then they are congruent, that is,
Solving for y:
The angle (3x + 55)° and 85° are vertical angles, then they are congruent, that is,
Solving for x:
Finally, the value of x + y is:
The last one is the correct answer
