Using the pythagorean identity, we can find the value of sin(A)
cos^2(A) + sin^2(A) = 1
(12/13)^2 + sin^2(A) = 1
144/169 + sin^2(A) = 1
sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
sin(A) = 5/13
Which is then used to find tan(A)
tan(A) = sin(A)/cos(A)
tan(A) = (5/13) divided by (12/13)
tan(A) = (5/13)*(13/12)
tan(A) = (5*13)/(13*12)
tan(A) = 5/12
The final answer is 5/12
Answer:
below( hope this helps )
Step-by-step explanation:
2. No because we don't know if the triangles are right triangles.
3. unknown since there are no labels to what the triangle points are
The total angle sum of a triangle is 180°
As such, 180= 78 + 2s +4s
102= 6s
s=17
8x - 23 because you answer them until you have it all simplified
8/24 = x / 48
cross multiply
(24)(x) = (8)(48)
24x = 384
x = 384/24
x = 16 <===
