Respuesta :
Answer:
**N.B. I'm doing the best I can with the information provided, as I don't believe this is a complete question.
What is the value of tan(A)?
The value of tan(A) BC/AB, assuming BC is the hypotenuse.
What is the value of tan(X)?
The value of tan(X) is YZ/XY, assuming YZ is the hypotenuse.
What is true about the two tangent ratios?
The two tangent ratios are equivalent, due to the congruence of the triangles.
Hope it helps :) and if you'd like further elaboration, or can better explain the question, I would be glad to help further.
The value of tan(X) from the given triangles is; tan X = 3/4 and also tan X = tan A
What are similar triangles?
Two triangles are said to be similar, if corresponding angles of both triangle are equal and the corresponding sides are proportional to each other.
We are told that ΔABC ~ ΔXYZ.
This means that both triangles are similar and as such corresponding angles are equal. Thus;
∠A = ∠X
∠B = ∠Y
∠C = ∠Z
From the triangles gotten online, it is seen that;
tan X = 3/4
Thus;
tan X = tan A
Read more about Similar Triangles at; https://brainly.com/question/12026685