The graph of an exponential function, f(x), is shown. Move numbers to the blanks to describe how f(x) increases and grows over d
ifferent intervals. The function f(x) increases by over the interval 0 to 1, by over the interval of 1 to 2, by over the interval of 2 to 3, and by over the interval of 3 to 4. Therefore, this exponential function grows by a factor of over every interval of 1. 1 2 3 4 5 6 8 9 13 17
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A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
<h3>What is a triangle?</h3>A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.
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Answer:
Step-by-step explanation:
Given: The radius of circle O is r, and the radius of circle X is r'.
To prove: Circle O is similar to circle X.
Proof: Move the center of the smaller circle onto the center of the largest circle. Translate the circle X by the vector XA onto circle O. The circles now have the same center.
A dilation is needed to increase the size of circle X to coincide with the circle O. A value which when multiplied by r' will create r.
The scale factor x to increase X:
⇒
A translation followed by a dilation with scale factor will map one circle to the other, thus proving the given both circles similar.
Therefore, circle O is similar to circle X.
Step-by-step explanation:
