You are reducing a map of dimensions 2 ft by 3 ft to fit on a piece of paper 8 in. by 10 in. what are the dimensions of the largest possible map that can fit on the page?

The dimensions of the largest possible map that can fit on the page are 10 inches by inches.

Step-by-step explanation:

You are reducing a map of dimensions 2 ft by 3 ft

Lets change them to inches.

1 foot = 12 inches

So, 2 feet = inches

3 feet = inches

So, dimensions are : 24 inches x 36 inches

Since 10 inch will be the longer side, we can find the shorter side by :

or inches

So, the dimensions of the largest possible map that can fit on the page are 10 inches by inches.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°