Answer the question appropriately.Explain how to construct a square given one side  and constructing only perpendicular lines. If it is not possible, explain why.

What will be an ideal response?


Construct two perpendicular lines from the endpoints of  and of the same length as .

Mathematics

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Give the measure of the requested angle.The complement of angle x is two times the angle. Find the measure of the angle and its complement.  

A. 30° and 60° B. 45° and 90° C. 22.5° and 67.5° D. 60° and 120°

Mathematics

Solve for x. Assume that a and b represent positive real numbers.x2 = 4b

A.
B.
C. {2b, -2b}
D.

Mathematics

Find a decimal approximation for the fraction or mixed number, rounded to the given place.; Round to the nearest hundredth.

A. 0.27 B. 0.67 C. 0.28 D. 0.24

Mathematics

Solve the problem.A boat is 180 feet from the base of a cliff. If the distance from the top of the cliff to the boat is 45 feet more than twice the height of the cliff, what is the height of the cliff? Round to the nearest tenth of a foot, if necessary.

A. 45 feet B. 100.6 feet C. 135 feet D. 75 feet

Mathematics