Step-by-step explanation:
Supplementary angles are angles that have the sum of their angles to be 180°. Hence if <1 and <2 are supplements, then <1+<2 = 180°.... 1
Similarly if <3 and <4 are supplements, then <3+<4 = 180° ....... 2
Equating the left hand side of both equations since they are both equal to 180°, we will have;
<1+<2 = <3+<4 ....... 3
From the question we are told that <1 = <4, substituting this condition into equation 3;
From 3; <1+<2 = <3+<4
<4+<2 = <3+<4 (since <1 = <4)
subtract <4 from both sides
<4+<2 -<4= <3+<4 -<4
<2 = <3 (Proved!)
Dy/dx= tanx, can be answered directly using the derivatives of trigonometric functions but this is how the answer is derived
=(sinx/cosx) basic trigonometric function
= [cosx cox+sinxsinx]/cos^2x
=[cos^2x+sin^2x]/cos^2x
cos^2+sin^2x = 1 ; fundamental trigonometric identities
= 1/cos^2x; reciprocal relations
= sec^2x+C
The answer is letter B.sec^2x+C
Answer:
Step-by-step explanation:
∠WZA + WZY = 180 {linear pair}
88 + ∠WZY = 180
∠WZY = 180 - 88
∠WZY = 92°
∠WXY + ∠WZY = 180 {Opposite angle in cyclic quadrilateral}
x + 92 = 180
x = 180 - 92
x = 88°
Answer:
<u>17-(- 2 / 5j)</u>
Step-by-step explanation:
16 + (- 5 ) - 2/5j - 4/5 j + 6
\/ \/ \/
11- ( -2/5j ) + 6
From here you over the 6 over to the 11
11+6-(-2/5j)
\/
17-(-2/5j)
It can not be simplified farther I believe