Answer:
The correct answer is 9 inches : )
Step-by-step explanation:
I took the test and got it right
X - 2 = 10
To solve for x add 2 to both sides of the equal sign:
X = 12
Distribute:
2x-6 = 8x-48
Solve for x:
2x-6 = 8x-48
-2x -2x
------------------
-6 = 6x - 48
+48 +48
----------------
42 = 6x
divide by 6 on both sides...
x=7
Answer
given,
borrowed money = $33000
Part of the money was borrowed at 8% be x, part at 10% be y, and part at 12% be ($33000-x-y)
x + y = 2 ($33000-x-y)
3 x + 3 y = $ 66000
x + y = $ 22000.........(1)
third part =$33000-($22000)
= $ 11000
now annual interest is
0.08 x + 0.1 y + 0.12 × 11000 = $ 3360
0.08 x + 0.1 y = 2040............(2)
0.1 x + 0.1 y = 2200..........(3)
solving equation (3) and (2)
x = $ 8000
y = $ 14000
3 rd number = $ 11000
When two or more lines are <u>parallel</u> to each other, this implies that they do not meet even extending them till <em>infinity</em>. So the <em>statement</em> justifies the construction because only <em>one</em> line <u>through</u> point C can be constructed to be <u>parallel</u> to AB.
When a <u>parallel</u> line is constructed through a <em>point</em> to a given <em>line</em>, this is the only <u>parallel</u> line that can be <em>drawn</em> to the given line. <u>Parallel</u> lines are lines that will not meet at any point. Thus, only one <u>parallel</u> line can be constructed through a <em>point</em> not to a given <em>line</em>.
The construction of a line through C that is <u>parallel</u> to line AB is justified by the given <em>statement</em> in the <em>theorem </em>since this is the only <u>parallel</u> line to line AB that can be drawn <em>through</em> the point C. Any <em>other line</em> through C would <em>intersect</em> or <em>meet</em> line AB at a point when <u>extended,</u> thus would not be <u>parallel</u> to the given line.
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