Alot is in the shape of a trapezoid. the sum of the bases is 180 feet. if the area of the lot is 8,100 square feet, what is the distance across the lot, i. e., the altitude of the figure?

If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Gabrielle's age is three times mikhail's age. the sum of their ages is 40 . what is mikhail's age? __ years old