The side AB is equal to the side DE. Then the value of x is 6.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle ABC is congruent to triangle DEF.
If DE = 41, EF = 23, DF = 36, and AB = 8x − 7.
Then the side AB is equal to the side DE.
AB = DE
8x - 7 = 41
8x = 48
x = 6
Then the value of x is 6.
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Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:
Plug in the given values and solve for angle C.This gives,
Therefore, the measure of tangent of angle C is 2.05.