In ΔJKL
s = JK+KL+LJ/2
= 25+7+21/2
= 28
then,
ΔJKL = √[s(s-a)(s-b)(s-c)]
= √[28(28-25)(28-24)(28-7)
= √(28×3×4×21)
= √(7056
= 84cm²
Again,
ΔJKL = 1/2×JL×LK×∠L
or, 84 = 1/2×24×7×sin x°
or, 84/168 = sin x°
or, 1/2 = sin x°
or sin 30° = sin x°
or x° = 30°
At last,
∠K+∠L+∠J = 180° (sum of angle of triangle)
or, ∠K+30°+90° = 180°
or, ∠K = 180°- 120°
or, ∠K = 60°
The following equation represents the function g in function notation,
g(x) = 3x - 14 [Option (A)]
Definition of a Function
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.
Given equation is,
y -3x = -14
⇒ y = -14 + 3x
or y = 3x - 14
Here, y stands for or represents the function g(x) which is a function of independent variable x.
Thus, the correct function notation is as follows,
g(x) = 3x - 14
Learn more about a function here:
brainly.com/question/12431044
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I think the answer is a that’s my opinion