The algebraic expression n<span>/10, where </span>n<span> is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(</span>n<span>/10), or </span>n/5, is the number of boxes, and 100(n/5), or 20n<span>, is the number of nails. Substituting 90 in for </span>n<span>, Peter will get 1,800 nails.</span>
Answer:
x = 40
m∠Q = 105°
m∠R = 40°
m∠P = 35°
Step-by-step explanation:
Sum of Angles in a Triangle: 180°
Step 1: Define variables
m∠Q = 2x + 25
m∠R = x
m∠P = x - 5
Step 2: Set up equation
m∠Q + m∠R + m∠P = 180°
2x + 25 + x + x - 5 = 180°
Step 3: Solve for <em>x</em>
4x + 20 = 180
4x = 160
x = 40
Step 4: Solve for measure angles.
m∠Q = 2x + 25
m∠Q = 2(40) + 25 = 80 + 25 = 105°
m∠R = x
m∠R = 40°
m∠P = x - 5
m∠P = 40 - 5 = 35°
The recursive formula of the explicit rule an = (n + 1)² is 
where a1 = 4
<h3>How to determine the recursive formula?</h3>
The explicit formula is given as:
an = (n + 1)²
This means that:
a1 = (1 + 1)² = 4
a₂ = (2 + 1)² = 9
a₃ = (3 + 1)² = 16
Rewrite as:
a₂ = 4 + 2 * 2 + 1 = 9
a₃ = 9 + 2 * 3 + 1 = 16
Substitute a₂ = 9
a₃ = a₂ + 2 * 3 + 1 = 16
Express 2 as 3 - 1
a₃ = a₃₋₁ + 2 * 3 + 1
Express 3 as n
Evaluate the product
Hence, the recursive formula of the explicit rule an = (n + 1)² is where a1 = 4
Read more about explicit rules at:
brainly.com/question/1275192
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Answer:
B
Step-by-step explanation:
B because it is the farthest away from 0.
Answer:
x = your mom
Step-by-step explanation:
hahahahhahhaha
but for real i dont know :)
