On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
From this picture you can calculate coordinates of triangles' vertices:

.
Since
you can conclude that points A, B, C are rotated by

about the point (-0.5,0) to form points J, G, H, respectively.
Answer: A is correct choice.
Answer:
y= -23
Step-by-step explanation:
The definition of a real-world equation is an equation that could perhaps occur in real life, for things like construction.
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Answer:
$90
Step-by-step explanation:
The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.
Annual Rate of interest offered to Sharon is 12%
Time interval for the loan transaction is 1 year.
So the interest for 1 year is given by \[Principal * Rate * Year /100\]
\[750 * 12 * 1 /100\] = $90
So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.