Let

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

We can solve this expression for the coordinates of Q:


Plug in the values for the coordinates of M and P to get


1 + (-5/8) = 3/8
Explanation: If the coffee wasn’t drank it would’ve been at fraction 1 (or 100%)
Since he drank 5/8 of it. The coffee left is now 1-(5/8)
But since the question has asked to give the equation in addition format. Put a plus sign in between the two.
Therefore,
1 + (-5/8)
Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8
Hence the equation is:
1 + (-5/8) = 3/8.

Hey there! Start with the slope formula, where
and
are the two known points.

Simplify.

Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
Answer:
2
Step-by-step explanation: