Jllk m_1=m_3
1
2
3
Prove:
Tilm
2
If alternate interior angles are =
1. jllk, m 23 = m Z1
then lines are II.
2. mZ1 = m22
4
Substitution
3. Alm
Given
3
If lines are II, then corresponding
4. m2 = m23
angles are

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3