Answer:
Step-by-step explanation:
Given is the shape of a trapezoid.
Therefore,
Area of the trapezoid

Answer:
(12,10)
Step-by-step explanation:
Let the midpoint of the side opposite this vertex have coordinates B(a,b)
We have the centroid at C(8,7) and the vertex of the triangle at A(0,1).
The centroid divides AB internally in the ratio 2:1
We use the formula:

where m:n=2:1 is the ratio of internal division.
We substitute the coordinates of A and B and the ratio to get:

This should simplify and give us the centroid.

This implies that:

We solve for a and b


Therefore the midpoint of the side opposite this vertex is (12,10)
Answer:
it would be the second answer because the shape has to get 3/4 smaller than the pre-image
Step-by-step explanation:
Answer:
7 and 14
Step-by-step explanation:
Given the LCM of two numbers to be 126
If one of the numbers is 18
The other number will be 126/18 = 7
The other possible value can be gotten by multiplying the lowest prime number by 7 i.e 2×7= 14
The two possible numbers are 7 and 14