<h3>The length of longer piece is 30 inches</h3>
<em><u>Solution:</u></em>
Let "x" be the length of longer piece
Let "y" be the length of shorter piece
<em><u>The length of a board is 55 inches</u></em>
Therefore,
x + y = 55 -------- eqn 1
<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>
Therefore,
x = 5 + y ------- eqn 2
Substitute eqn 2 in eqn 1
5 + y + y = 55
2y = 55 - 5
2y = 50
<h3>y = 25</h3>
Substitute y = 25 in eqn 1
x + 25 = 55
x = 55 - 25
<h3>x = 30</h3>
Thus the length of longer piece is 30 inches
Answer:
c
Step-by-step explanation:
Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by

Computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same
so

as

Thus, the nth term of the arithmetic sequence will be:


Therefore, option D is true.