Answer:
Step-by-step explanation:
Given that lines 
and 
are parallel, that means that we can establish some basic angle relationships here.
Since both lines are cut by a transversal, that means all angles formed by that line will be equivalent.
and 
are going to be equivalent because they are alternate exterior angles. These are formed by two parallel lines being cut by a transversal, and they will always be equal.
Since we know that both angles are equivalent to each other, we can set the expressions equal to each other to find x.
<em>Here's your equation, by the way.</em>
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We can now solve for x.
Add 33 to both sides:
Subtract 2x from both sides:
Therefore, x = 59.
Hope this helped!
The balance point, or average value of those numbers, would be 4.75 or 4 and 3/4
I cant see anything so redo it
Area of the circle is 78.5 sq. units.
<u>Step-by-step explanation:</u>
Circumference of the circle = 31.4 units
2 π r = 31.4 units
2 × 3.14 ×r = 31. 4 units
r = 31.4 / (2×3.14)
= 5 units.
Area of the circle = π r² = 3.14 × 5 × 5 = 78.5 sq. units.
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Answer:increased percent = 66.67%
Step-by-step explanation:
The value of an autographed baseball card increased from 39$ to $65. This means that the price of the autographed baseball card increased from the original price to the new price by a certain percentage.
Let x percent = the percentage increase of the price of the autographed baseball card from the original price to the new price.
Percentage increase =
(New price of price of the autographed baseball card - the original price of the autographed baseball card) / the original price of the autographed baseball card × 100
From the information given,
New price of price of the autographed baseball card - the original price of the autographed baseball card = 65 - 39 = $26
Percentage increase = 26 / 39 × 100
= 66.67 %
