Question $3($Mandatory$)(20$ points$)$

A pointed object is positioned $20\mathrm{.}0$ centimeters to the left of a converging lens with focal length $15$ centimeters. A concave mirror with focal length $10$ centimeters is located $75$ centimeters to the right of the lens as shown in the figure.

Note: The figure is not drawn to scale.

a$.(12)$ What is the position of the final image relative to the mirror?

b$.(4)$ If the original object is $7\mathrm{.}0$ centimeters tall, determine the height of the final image.

c$.(2)$ Is the final image real or virtual? Justify your answer.

d$.(2)$ Is the final image inverted or non$-$inverted? Justify your answer.