Check the picture below.
let's recall that a straight-line has 180°, and that sum of all interior angles in a triangle is also 180°.
Answer:
<h2>
first piece: 5 in</h2><h2>
second piece: 10 in</h2><h2>
third piece: 32 in </h2>
Step-by-step explanation:
x - the length of the <u>first piec</u>e
2x - twice the length of the first piece (the length of the <u>second piece</u>)
6x - six times the length of the first piece
two inches more:
6x+2 - the length of the <u>third piec</u>e
first + second + third = 47 in {total length of the pieces of steel}
x + 2x + 6x + 2 = 47
9x + 2 = 47
9x = 45
x = 45:9
x = 5 in
first piece: 5 in
second piece: 2×5 = 10 in
third piece: 6×5 + 2 = 30 + 2 = 32 in
Step-by-step explanation:
1. 3 multiplied by x is the same value of 6
2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3
Hope that helps :)
4d+6= 42
⇒ 4d= 42-6
⇒ 4d = 36
⇒ d= 36/4
⇒ d= 9
The final answer is d=9~