△mno and △pqr are similar. the ratio of a side of △pqr to a corresponding side of △mno is 4 : 3. if mn = 12 in., no = 18 in., mo = 24 in., find the perimeter of △pqr.

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¯¯¯¯¯¯¯¯)?

The domain of a function can be represented by which one of the following options? o a. a set of output values o b. a set of f(x) values o c. a set of input values o d. a set of both input and output values

What does independent variable and dependent variable mean in math?