Joe drew a diagram of a window as shown below. The window is formed by a square and a semicircle. The area of the square portion of the window is shown in square inches on the diagram. One side of the square measures 28 inches. What is the total area of the window rounded to the nearest whole number? Use 3.14 for π.

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¯¯¯¯¯¯¯¯)?

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

Given: and prove: what is the missing reason in the proof? given transitive property alternate interior angles theorem converse alternate interior angles theorem