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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Answer:
y = 2/3x + 1/3
Step-by-step explanation:
Standard form of a line looks like y=mx+b. We already know that m is 2/3, but we don't know b. b is our y-int. With the given information, we can write this equation is point-slope form. That looks like y - y1 = m(x-x1). (x1, y1) = (1, 1) - the point given to us. So if you plug in that point to the equation, and the slope - m, it'll look like y - 1 = 2/3 (x - 1).
From here, you can just solve for y, and it'll be in standard form. I would distribute 2/3 first.
y - 1 = 2/3x - 2/3
Then, add 1 to both sides.
y = 2/3x + 1/3
8821 - 3256 = 5565....amount made between 8 a.m. and noon
8 a.m. to 12: a.m. = 4 hrs
5565 / 4 = 1391.25 <=== what they took in each hr between 8 and noon
