The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6
(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12
(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6
(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12
Answer:
Parallelogram Theorem #1 Converse: If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
Step-by-step explanation:
Answer:
f(h(x))= 2x-4
Step-by-step explanation:
f(h(x))=f(2x+3)=2x+3-7= 2x-4
Answer:
C
Step-by-step explanation:
Given
x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )
= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term
= (x² + 3)(x + 3) → C
