4. on a set of blueprints, the length of a building is 16 inches. the actual building is feet long. which of the following is the correct scale?

1: 32
1: 5
1: 12
1: 64

1:64

Step-by-step explanation:

The complete question is

On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?

we know that

To find out the scale divide the length of the building on a set of blueprints by the actual length of the building

so

Convert mixed number to an improper fraction

substitute in the expression above

Simplify

That means ----> 3 inches on the blueprint represent 16 feet in the actual

Remember that

Convert ft to inches

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.