Answer: B = (6,-8)
Step-by-step explanation:
first the midpoint formula is 
then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:
then solve it like an equation:
then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:
then solve it like an equation:
∴ the answer is x=6, y= -8
which is expressed as a point, B(6,-8)
Answer:
$0.62
Step-by-step explanation:
1.24/2=0.62
1 gallon- 4 pint
0.5 gallon- 2 pint
The is the answer on my paper:
I get the base to be 4.74 and the height to be 12.74
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
