The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of y that makes the two piec
2 answers:
Answer:
Step-by-step explanation:
Given
Triangles GHI and JKL
<em>See attachment for illustration</em>
Required
Find the value of y
We have:
Sides GH and JK are similar
Sides GI and KL are also similar
Since both triangles are similar, then the ratio of similar sides must be equal.
Equate both ratios
Substitute values for GH, GI, JK and JL
Convert to fractions
Cross Multiply
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Answer:
The correct option is;
No, the distance from (0, 0) to (2, √6) is not 3 units
Step-by-step explanation:
The given parameters of the question are as follows;
Circle center (h, k) = (0, 0)
Point on the circle (x, y) = (3, 0)
We are required to verify whether point (2, √6) lie on the circle
We note that the radius of the circle is given by the equation of the circle as follows;
Distance² = (x - h)² + (y - k)² = r² which gives;
(3 - 0)² + (0 - 0)² = 3²
Hence r² = 3² and r = 3 units
We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;
Therefore;
(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²
Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10
Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point (2, √6), does not lie on the circle.