Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>
Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.
Hence:
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
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7^2 + 9^2 = 130
Square root of 130 is about 11.4
76 sodas and 34 hot dogs were sold by the vendor.
Step-by-step explanation:
Given,
Total sodas and hot dogs sold = 110
Let,
x be the number of sodas sold
y be the number of hot dogs sold
According to given statement;
x+y=110 Eqn 1
y = x-42 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 2

Putting x=76 in Eqn 1

76 sodas and 34 hot dogs were sold by the vendor.
Keywords: linear equation, substitution method
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Answer:
54
Step-by-step explanation:
p(x)=x^2+50, p(2)=2^2+50=54