Match the reasons with the statements in the proof to prove ab || dc , given that ad is parallel to bc and ad = cb .
given:
ad || bc
ad = cb
prove:
ab || dc
1. ad || bc, ad = cb (a. if lines are parallel, then alternate interior angles are equal.)
2. ac = ac (b. if alternate interior angles are congruent, then lines are parallel.)
3. 2 = 3 (c. cpcte)
4. acd = cab (d. reflexive property of equality)
5. 1 = 4 (e. sas)
6. ab || dc (f. given)

One positive number is 9 more than twice another. if their product is 95, find the numbers

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.