If hexagon JGHFKI Is congruent to hexagon SRTQUV, which pair of angles must be congruent?
2 answers:
You might be interested in
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
Option A is correct
The expression which is equivalent to is
Step-by-step explanation:
Using the formula:
.....[1]
Given the expression:
Substitute the value of x = 5 in [1]
we get;
Therefore, the expression which is equivalent to is