Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
9514 1404 393
Answer:
x = 57
Step-by-step explanation:
Where parallel lines are crossed by a transversal, all obtuse angles are congruent and supplementary to all acute angles, which are also congruent.
x = 180 -123
x = 57
Answer:
6:7
Step-by-step explanation:
<span>image A′B′C′D′ is 5 times bigger than pre-image ABCD
scale factor = 5</span>
Break it down into a rectangle and triangle.
Area of rectangle is lw
One side of the rectangle is 8 (MA)
The other side is 6
Area is 8x6 = 48
Area of a triangle is 1/2 bh
h is 8
b is 10(AZ) - 6 (ME) = 4
Area of triangle is 1/2 (4 x 8) = 12
Add 48 and 12 to get 60
The area is 60
