The approximate length of side AB is 14.0. The correct option is B. 14.0 units
<h3>Law of sines </h3>
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (<em>Sum of angles in a triangle</em>)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
Learn more on Law of sines here: brainly.com/question/24138896
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Answer:
x= -2, 9.5
Step-by-step explanation:
Answer:
75 boxes of standard varieties and 40 boxes of deluxe varieties.
Step-by-step explanation:
Let x be the number of standard variety and y be the number of the deluxe variety of the strawberry,
∵ Total number of strawberries = 115,
⇒ x + y = 115
⇒ x = 115 - y -----(1),
Total spending amount is $ 700, in which each standard variety costs $ 4 and deluxe variety costs $ 10,
⇒ 4x + 10y = 700 ----(2),
From equation (1),
4(115-y) + 10y = 700
460 - 4y + 10y = 700
460 + 6y = 700
6y = 240
⇒ y = 40
Again from equation (1),
x = 115 - 40 = 75
Hence, there are 75 boxes of standard varieties and 40 boxes of deluxe varieties.
B) Line HI and FI are congruent
because they are both the radius of the circles and their central angles are also congruent.
