405, 596 is not the answer
Answer:
x = 45°
Step-by-step explanation:
The total measurement is 360° (the measurement of a circle).
Set the equation. Set all measurements equal to 360:
228 + (x + 29) + (x + 13) = 360
Combine like terms:
228 + 29 + 13 + 2x = 360
2x + 270 = 360
Isolate the variable, x. Note the equal sign, what you do to one side, you do to other. Do the opposite of PEMDAS. First, subtract 270 from both sides:
2x + 270 (-270) = 360 (-270)
2x = 360 - 270
2x = 90
Next, divide 2 from both sides of the equation:
(2x)/2 = (90)/2
x = 90/2
x = 45
x = 45° is your answer.
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The slope from (2,5) to (4,9) is 4/2 or just 2.
A perpendicular will have a gradient of -1/2
The midpoint is (3,7)
Therefore y=mx+c becomes 7=-1/2 x 3 + c
c = 7 + 3/2
The perpendicular bisector has the equation y = -1/2x + 17/2
The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:
Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:
Answer: 156 pounds of Organic Free Trade blend
Subtract 12 from both sides
4(2x + 2) > 100 - 12
Simplify 100 - 12 to 88
4(2x + 2) > 88
Divide both sides by 4
2x + 2 > 88/4
Simplify 88/4 to 22
2x + 2 > 22
Subtract 2 from both sides
2x > 22 - 2
Simplify 22 - 2 to 20
2x > 20
Divide both sides by 2
x > 20/2
Simplify 20/2 to 10
<u>x > 10</u>
