To find x:
ON is parallel to LM
8x - 8 = 7x + 4
-7x -7x
1x - 8 = 4
+8 +8
1x = 12
--- ---
1 1
x = 12
8(12) - 8 = 7(12) + 4
96 - 8 = 84 + 4
88 = 88
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To find y:
NM is parallel to OL
x - 5 = 3y - 6
12 - 5 = 3y - 6
7 = 3y - 6
+6 +6
13 = 3y
--- ---
3 3
13/3 = y
Check:
12 - 5 = 3(13/3) - 6
7 = 13 - 6
7 = 7
In expression x-2 coefficient of x is equal to one.
Let a be "a" x's coefficient.
If we put "a" to Your equation, it should be looks like:
ax-2
We know that there is only one x, so expression ax have to be equal x
Now we get
From this equation we know that coefficient x "a" is equal to 1.
Solve for x over the real numbers by completing the square.
(x - 8)² = 48
Take the square root of both sides:
x - 8 = 4 √(3) or x - 8 = -4 √(3)
Add 8 to both sides:
x = 8 + 4 √(3) or x - 8 = -4 √(3)
Add 8 to both sides:
Answer: x = 8 + 4 √(3) or x = 8 - 4 √(3)
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There are 342 inches, 28.5 feet, and 9.5 yards