Answer:
<em>The coordinates of b are: B=(-7,-8)</em>
Step-by-step explanation:
We are given the coordinates of the midpoint of
as M=(-5,-2).
We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.
Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:


We know xa=-3 and xm=-5. Solve the first equation for xb:

Substituting:


We can solve the second equation for xb and get:

Since ya=4 and ym=-2, then:


Thus, the coordinates of b are: B=(-7,-8)
Answer:
sister = 6 years
John=18 years
Step-by-step explanation:
A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.
Answer:
x = 18
Step-by-step explanation:
I the given triangle, it appears that M and N are the midpoints of the segments BG and BD respectively. If it so, then let us solve it.
By mid segment theorem:
2MN = GD
2(6x - 51) = 114
12x - 102 = 114
12x = 114 + 102
12x = 216
x = 216/12
x = 18
Answer:
"M" would equal 6.6 repeated
Step-by-step explanation: