What is the realationship between the area of the scales ⚖️ used in pictures ?
1 answer:
<h2>Explanation:</h2>
As I understand, you need to know the relationship between the area of similar figures. Two shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling, so this means we can make one shape bigger or smaller.
From math, if we call the scaling factor, then the area of one figure (
) divided by the area of another similar figure (
) will be equal to the scaling factor squared. In other words:
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Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
