Triangles 1 and 2 are similar What ratio relates a side length of triangle 1 to the corresponding side length of triangle 27. Fill the box to complete the ratio.___ to 12

f(x, y) = 4x + 7y - 6

substitute x=5 and y=-5

f(5,-5) = 4(5) + 7(-5) - 6

f(5,-5) =20-35-6

        = -15-6

        =-21

Answer:

Step-by-step explanation:

Since X is the midpoint, we have that WX=XY and VX=XZ (given in the statement)

If we label the five points W,X,Y,V and Z  and draw line segments WV and ZY.

We have two triangles.

 The angle zxy = wxv since opposite angles are equal.

Given the above, we have 2 congruent triangles  (side-angle-side)

Since the two triangles are congruent, then the sides opposite the angle x (WV and ZY) must be equal.

The statement establishes that point X is the midpoint of segment WY, and VX is equal to XZ.

How to determine this

By labeling the five points W, X, Y, V, and Z and connecting WV and ZY, we form two triangles. These triangles share the angle ZXY with the opposite angles being equal.

Therefore, we have congruent triangles, proven by the side-angle-side congruence criterion. Consequently, the sides opposite angle X, namely WV and ZY, must be equal in length. This conclusion stems from the congruence of the triangles, demonstrating that geometric relationships can be deduced through congruence principles in triangles.

Read more about congruent triangles here:

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