Triangle abc is similar to triangle def.
for the following statements determine whether they are true or false then select which combination of answers is correct.
1) sin(a) < sin(f)
2) cos(c) = sin(d)
3) tan(d) > tan(a)
options:
a. 1 - false, 2 - true, 3 - false
b. 1 - false, 2 - false, 3 - true
c. 1 - true, 2 - true, 3 - false
d. 1 - true, 2 - false, 3 - true

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.

Kim took out a $55,000 loan for college she is borrowing money from 2 banks bank a charges an interest rate of 8% and b charges an interest rate of 11% after one year kim owes 5000 in interest how much money did she borrow from bank a.

Select the term that describes the linear portion in this quadratic equation 7x^2-12x+16=0 a) -12x b) 7x^2 c) 16