Answer:
{a , c}
Step-by-step explanation:
first find u intersection p
n(U n P ) = {a , b , c , d} n {b , d , e}
={d , b}
intersection means element or values which lies in both the sets
now to find p complement
note : p( bar at the top ) is read as p complement
p complement = n(U) - n(U n P)
={a , b , c , d} - {d , b}
={a , c}
n(U) -n(U n P) means the elements which is only in n(U ) but not in n(U n P)
A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
51 snack in all because 18 + 23 = 51
Answer:
<u>x = 49</u>
Step-by-step explanation:
Since the line is parallel, the value of 2x - 8 is equal to 90.
=> 2x - 8 = 90
=> 2x = 98
=> <u>x = 49</u>
