Assume that 0< x < pi/2 and 0< y < pi/2. find the exact. value of sin(x-y) if sin x = 4/9 and sin y =1/4

a. √15 - √65

6

b. √15 - √65

36

c. 4√15 - √65

36

d. 4√15 - √65

6

1234567891011 match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m 1. j||k, m∠3 = m∠1 if lines are ||, then corresponding angles are =. 2. m∠1 = m∠2 if alternate interior angles are =, then lines are ||. 3. m∠2 = m∠3 substitution 4. l||m given

Evaluate the expression for the given value of the variable. 5×(h+3) for h=7

What number should be added to the expression x^2+3x+ in order to create a perfect square trinomial? 3/2 3 9/4 9