in the diagram below, line BC connects points B and C on the congruent sides of isosceles triangle ADE, such that triangle ABC is isosceles with vertex angle A. If AB=10, BD=5, and DE=12, what is the length of line BC?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

Which of the following is an example of a rational number? a. π b. √ 9 c. √ 8 d. 3.8362319

If the class creates a histogram of the data in table, how many students are in the range 12cm to 13.9 cm