Eye color hair color blue gray green brown marginal total blond 42 5 21 10 78 red 12 22 19 12 65 brown 22 5 12 34 73 black 9 3 11 64 87 marginal total 85 35 63 120 303 as part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students’ eye color and hair color. the table contains the survey results. the percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by percentage points. (round off your answer to the nearest whole number.)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb