Aconjecture and the flowchart proof used to prove the conjecture are shown.

given: s is the midpoint of rt. us≅rs

prove: △stu is an isosceles triangle.

fill in the blanks

If f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

Emily is entering a bicycle race for charity. her mother pledges $0.90 for every 0.75 mile she bikes. if emily bikes 18 miles, how much will her mother donate?