An object is held $67\mathrm{.}3$ cm away from a lens. The lens has a focal length of $-77$ cm $.$

A$.)$ Determine the image distance.

B$.)$ Determine the magnification.

C$.)$ If the object is $1\mathrm{.}9$ cm long, determine the image height.

D$.)$ Which of the following are true about the image? Choose all that are true.

The image is real.

The image is virtual.

The image is upright.

The image is inverted.

The image is magnified.

The image is diminished.

E$.)$ Which of the following are true about the lens? Choose all that are true.

The lens is converging.

The lens is diverging.

The lens is concave.

The lens is convex.