Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>
Dilation is the increase or decrease in the size of a figure by a scale factor.
Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:
Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC
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The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
<h3>What is
speed?</h3>
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:
Distance covered = 12 mph * x = 12x miles
The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
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F(x)=2(x-5)^2-24 simple algebra