First off, let's change the format of the percentage to decimal.. so 35% is just 35/100 or 0.35 and 40% is 40/100 or 0.4 and so on.
now, whatever "x" amount is, we know that x + 10 must add up to "y". x + 10 = y, because both quantities added will give the mixture amount.
and whatever 0.35x + 4 = 0.37y, because both concentrated amounts must give the 37% of the mixture.
solve for "x", to see how much of the 35% solution will be needed.
what about "y"? well, x + 10 = y.
Answers:
- In the top row, the first and third polygons are regular polygons.
- In the bottom row, only the first polygon is a regular polygon
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Explanation:
A regular polygon must have all sides of equal length. Also, all angles must be the same measure. This applies to the equilateral triangle in the upper left corner, and the square in the upper right corner. Each angle of the square is 90 degrees even though your teacher didn't use right angle markers.
The middle figure in the top row is not a regular polygon because the sides are not all the same length. Also, the angles are different.
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In the bottom row, only the first figure is a regular polygon for similar reasons mentioned earlier. The second figure is not a regular polygon because this figure is concave. Only convex polygons can be regular.
The third figure in the bottom row is not regular because one side is longer than the others.
Answer:
x=55
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal
3x-60 = x+50
Subtract x from each side
3x-60-x = x+50-x
2x-60 =50
Add 60 to each side
2x-60+60=50+60
2x=110
Divide by 2
2x/2 =100/2
x =55
A =bh
Plug in values and solve for height (h).
A=3.36
b=2.8
3.36 = 2.8h
/2.8 /2.8
1.2 = h
Base and Height doubled:
b = 2.8
h = 1.2
2(2.8)=5.6
2(1.2)=2.4
Plug in new b and h to area equation given to find area:
5.6(2.4) = 13.44
Resulting parallelogram area = 13.44 ft^2
Answer:
x = 2
Step-by-step explanation:
-3 = -2x + 1
minus 1 to the both sides
-3 -1 = -2x
-4 = -2x
divide both sides by -2
x = 2
