THe first thing we need to do is find the hypotenuse. From the tangent we know that the legs of the right triangle are 3 and 4. So this 2/3 of a special right triangle (3-4-5). Thus the hypotenuse is 5. The sin is defined as
. We know the opposite is 4 and hypotenuse is 5. Thus the sin is
Given the fraction 5/12 and 9/16, the least common denominator can be get by giving the possible common multiples of 12 and 16.
12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
16 = 16, 32, 48, 64, 80, 96, 112, 128, ...
So looking above, the common are 48 and 86 but the smallest is 48.
So the LCD is 48.
So, the prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers.
Answer:
A
Step-by-step explanation:
Answer:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
