Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of
as follow:


Now lets plug in the value into the expression for angle
∠RNS to find the angle as:

Thus Option A. is the correct answer.
Answer:
x=-1/2
Step-by-step explanation:
2x+2=4x+3
-1=2x
x=-1/2
Given equation :−1/2 (x+2) + 112x = 3
We have -1/2 in front of parenthesis on left side .
It's better to remove fraction in an equation, in order make it easier to solve.
In order to remove 2 from denominator of 2, we need to multiply each and every term by 2.
Multiplying each term in the equation by 2, we get
2* −1/2(x+2) +2* 112x = 2*3.
On simplifying this step, we get
-1(x+2) +224x = 6.
Distributing -1 over (x+2), we get
-x -2 +224x = 6
Combining like terms on left side, -x+224x=223x
223x -2 = 6
Adding 2 on both sides, we get
223x -2+2 = 6+2
223x = 8
Dividing both sides by 223, we get
223x/223 = 8/223.
x= 8/223.
FG goes through the center of the circle, so FG is diameter.

EH=r=3
Answer: EH=3
Answer:
Step-by-step explanation:
(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43