A drawing of a basement uses the same scale as the example. the basement is 28ft wide and 35 ft long. how wide and long is the drawing? show your work

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Complete Question

A drawing of a basement uses the same scale as the example above which is 1 inch to 10 ft. The basement is 28ft wide and 35 ft long. how wide and long is the drawing? show your work

2.8 inches wide and 3.5 inches long.

Step-by-step explanation:

Scale drawing

1 inch = 10 feet

= 1 inch/10 feet

For the Width of the basement

The basement = 28ft wide

= 1inch/ 10 feet = x inch/28ft

= Cross Multiply =

10 feet × x inch = 28feet × 1 inch

x inch = 28 feet × 1 inch/10 feet

x = 2.8 inches

The drawing = 2.8 inches wide

The length of the basement = ft long

1inch/ 10 feet = x inch/35ft

= Cross Multiply =

10 feet × x inch = 35feet × 1 inch

x inch = 35 feet × 1 inch/10 feet

x = 3.5inches

Therefore, the drawing is 2.8 inches wide and 3.5 inches long

picture below

∠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°