Here, triangle AEN and ALG are similar.
We know that the ratio of corresponding sides of two similar triangles are equal. So,

Answer:
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15 & 16 & 17
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Step-by-step explanation:
Let x be the price of an apple and y be the price of an orange.
We have been given that a fruit stand need $10 for 4 apples and 4 oranges. We can represent this information as:

We are also told that they need $15 for 6 apples and 6 oranges. We can represent this information as:
Therefore, our desired system of equations will be:


Answer:
The coordinates of point B are (6,7).
Step-by-step explanation:
Given points are
Blue = A(-4,8)
Purple = M(1,7.5)
Green = B
It is given that point M is the midpoint of point A and B.
Let coordinates of points are (a,b).
Midpoint of two points is


Coordinates of midpoint are (1,7.5).

On comparing both sides we get


Therefore, the coordinates of point B are (6,7).