Answer:
aₙ = aₙ₋₁ + n + 1
Step-by-step explanation:
a₁ = 2
a₂ = 2 + 2 + 1 = 5
a₃ = 5 + 3 + 1 = 9
a₄ = 9 + 4 + 1 = 14
a₅ = 14 + 5 + 1 = 20
1 is 11 over nine the last one and the second one is 11
(6) 70, 70, 110
∠2 = ∠4 = 110° ( congruent angles )
∠3 = 180° - 110° = 70° ( straight angle )
∠1 = 70° ( vertically opposite ∠3 )
(9) ∠AEC = 15x - 11
since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11
(7) x = 3
AC = AB + ABC = 32
2x + 6x + 8 = 32
8x + 8 = 32 ( subtract 8 from both sides )
8x = 24 ( divide both sides by 8 )
x = 3
<span><span><span>
(2^2)</span>(x)</span>3</span>=<span>16
</span>Step 1: Multiply both sides by 3.
<span><span><span><span>(<span>2^2</span>)</span><span>(x)</span></span>3</span>=16
</span><span><span><span>(<span><span><span>(<span>2^2</span>)</span><span>(x)/</span></span>3</span>)</span>*<span>(3)</span></span>=<span><span>(16)</span>*<span>(3)</span></span></span><span><span><span>(<span>22</span>)</span><span>(x)</span></span>=48</span>
Step 2: Simplify both sides of the equation.
<span><span>4x</span>=48</span>
Step 3: Divide both sides by 4.
<span><span><span>4/x</span>4</span>=<span>48/4
</span></span><span>x=<span>12</span></span>
