Answer:
(4,-8/5)
Step-by-step explanation:
.............
We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.
Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is 
.
Therefore, the radius of given circle would be 18 cm.
If UT is the midsegment of QRS, then SQ = 2(2x + 2) = 4x + 4
Then,
(3x + 1)/(7x - 1) = (2x + 2)/(4x + 4) = 1/2
2(3x + 1) = 7x - 1
6x + 2 = 7x - 1
7x - 6x = 2 + 1
x = 3
Therefore, SQ = 4(3) + 4 = 12 + 4 = 16.
The question is asking you to add mixed numbers together. The two mixed numbers you want to add up are 2 1/3 and 3 1/3.
This question is fairly simpler than other mixed number or fraction types of problems because the fractions attached to the whole numbers already come having common denominators.
This means you don't have to do anything extra to the fractions to add them; you can just add the numerators (top numbers) together and keep the denominators the same.
Add the fractions (1/3) together first.
1/3 + 1/3 = 2/3
Now add the whole numbers together.
2 + 3 = 5
Combine the whole number and the fraction together to create the mixed number as your answer. Your answer is 5 and 2/3.
