If TU = x + 5, UV = 20, and TV = 10x − 11, what is TV?
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Answer:
Step-by-step explanation:
Corresponding angles of both the squares are congruent. (angles of a square measure 90°)
Ratio of the sides of the given squares =
=
This ratio of side lengths is constant for all corresponding sides.
Therefore, corresponding sides are proportional.
Since, all angles of both the squares are congruent and all the sides are proportional, both the squares will be similar.
Scale factor =
=
= 2.5
This sequence of similarity transformations shows the figures are similar.