Answer:
∠ L = 109°
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent.
Thus ∠ J = ∠ G , substitute values
3x + 12 = 2x + 19 ( subtract 2x from both sides )
x + 12 = 19 ( subtract 12 from both sides )
x = 7
Then
∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°
∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°
By the sum of angles in a triangle = 180°, then
∠ F = 180° - (33 + 38)° = 180° - 71° = 109°
∠ F and ∠ L correspond , thus
∠ L = ∠ F = 109°
The x-intercept of a function is basically it's roots. So when you factor out the function f(x) = x^2 - 16x + 64 you get
(x-8)(x-8)
x = 8
So x-int. is (0,8) or x = 8
Answer:
sin(x) = -sqrt2/2
tan(x) = -1
Step-by-step explanation:
Because it is between 270 and 360, sin is negative, so it is -sqrt2/2.
tan(x) is sin(x)/cos(x), so it is just -1.
