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Insert a geometric mean between 8 and 18.

Use the quadratic formula to solve for x :  2×2 + 6x – 20 = 0

Use the quadratic formula to solve for x:  2×2 + 4x – 30 = 0

 Insert a geometric mean between 3 and 12. 

Suppose a room measures [x] ft by [y] ft. Using Palladio’s recommendations, find the height of the room using the harmonic mean. Round to one decimal place and type just the numeric value below.    

Solve the proportion. Round your answer to one decimal point and type just the numeric value below. 

Suppose a floor plan has a length of 38 ft. Using Alberti’s recommendations, find the width of the floor plan, using the octave doubled. Round to one decimal place if necessary and enter just the numeric value below.

Suppose a floor plan has a length of 42 ft. Using Alberti’s recommendations, find the width of the floor plan, using the octave doubled. Round to one decimal place if necessary and enter just the numeric value below.

Suppose a floor plan has a length of 15 ft. Using Alberti’s recommendations, find the width of the floor plan, using the fourth ratio. Round to one decimal place and type just the numeric value below.

Subdivide a line segment of length 140 cm into the ratio of 3:7. State both the short and the long lengths.