The answer is going to be: answer B.
Hope this helps =D
X is in the second quadrant means that x/2 is in the first quadrant.
Consider the right triangle drawn in the figure. Let tan(x/2)=a.
Then, let the length of the opposite side to x/2 be a, the adjacent side be 1 and the hypotenuse be square root of a squared +1, as shown in the figure.
sin(x/2)=|opp side|/ |hypotenuse| =

cos (x/2) = |adj side|/ |hypotenuse| =

from the famous identity: sin(2a)=2sin(a)cos(a), we have:
2sin(x/2)cos (x/2)=sin(x)
thus




(3a-1)(a-3)=0
thus a=1/3 or a=3
thus tan(x/2)=1/3 or tan(x/2)=3
Answer: {1/3, 3}
Answer:
94.5 square inches :)
Step-by-step explanation:
Answer:
D. ∠B = ∠B' = 74° and ∠C = ∠C' = 66°
Step-by-step explanation:
Given,

We know,sum of all 3 angles of a triangle is
°
Doing so ,

Simplifying all like terms,

Dividing both side by 12


Now we plug this in each angles and find their exact values.
°
°
°
Now substituting the
in angles of dilated triangle.
°
°
°
We see that all the corresponding angles are equal and as far as the options are concerned only option (D) matches.