Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
( a )pairs of vertical angles :
AGB and EGD
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.
( b ) a pair of adjacent angles :
AGB and BGC
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
(c) Name a pair if supplementary angles :
AGB and BGD
Two angles are called supplementary when their measures add up to 180 degrees.
(d) A pair of complementary angles :
AGF and FGE
Two angles are called complementary when their measures add to 90 degrees.
(e) Find measure of CGD :
( look into the photo attached for better understanding)
CGD = 55°
<em>hope this helps :)</em>
Answer:

Step-by-step explanation:
We need to find an expression that is equivalent to 14:56.
So,

So, the equivalent expression of the given expression is
.