Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.
In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.
These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.
So, the two rectangles are similar if the following is true.
In any proportion, the product of the inner terms must be the same as the product of the outer terms:
This is clearly false, and thus the two rectangles are not similar.
The speed of the motorcycle will be 30 meters per second.
<h3>What is speed?</h3>
The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second.
Then the speed of the motorcycle will be
Speed = 10 / (1/3)
Speed = 10 x 3
Speed = 30 meters per second
The speed of the motorcycle will be 30 meters per second.
More about the speed link is given below.
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d = r · t ⇒ t = d/r
going
t = 54/(r + 4)
coming
t = 30/(r - 4)
54/(r + 4) = 30/(r - 4) times are equal
54(r - 4) = 30(r + 4) product means/extremes
54r - 216 = 30r + 120 distribute
24r - 216 = 120 subtract 30r from both sides
24r = 336 add 216 to both sides
r = 14 divide both sides by 24
Alfonso bikes at 24 mph.
Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m
= 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m + m
m + m = 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
