If δmtv is reflected across the x-axis, what are the resulting coordinates of point t

 The resulting co-ordinates of point T are (4, -5).

Step-by-step explanation:  Given that the triangle MTV is reflected across the X-axis.

We are to find the resulting co-ordinates of point T.

From the figure, we note that the co-ordinates of the vertices of  ΔMTV are

M(2, 5), T(4, 5) and V(2, 1).

Let, ΔM'T'V' be the image of ΔMTV after reflection across the X-axis.

We know that if a point (x, y) is reflected across the X-axis, then its 'y' co-ordinate will change sign.

That is, after reflection across X-axis,

(x, y)  ⇒  (x, -y).

So, the co-ordinates of the vertices of ΔM'T'V' will be

M(2, 5)  ⇒  M'(2, -5),

T(4, 5)   ⇒  T'(4, -5)

and

V(2, 1)  ⇒  V'(2, -1).

Thus, the resulting co-ordinates of point T are (4, -5).

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step-by-step explanation:

the answer to your question is b.