Multiply across for example 3/20= x/100
3*100=300
x*20=20x
then divide by 20 on each side
300/20=15
15=x
Answer:
B
Step-by-step explanation:
You don't even have to do complicated the math as the numbers are complicated for a reason. Round 1.99 to 2 and 1.83 to 1. and the answer is 5.4, which is closest to answer B.
There are 7 intervals of 1/2 between -1 and 2.
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
Answer: x= 25
Step-by-step explanation:
Vertical angles are equal. Set these equal to each other to solve. 7x-18 = 6x+ 7. Add 18 to both sides. 7x = 6x + 25. Subtract 6x from both sides. X=25
