Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:



x = 60°
Answer:
y
Step-by-step explanation:
The correct answer is a.
Inside the function it says x+2, and a +2 means it is to the left (direction is opposite of the sign)
The 3 on the outside of the function shows how the steepness, or slope will change. The first is correct because slope is rise over run, and if you go from one point to another, you'll see that it is up 3 and over 1, or 3/1, or 3.
C . the domain stays the same but the range changes
Answer:
x = 12
ST = 23 units
SU = 23 units
TU = 23 units
Step-by-step explanation:
For an equilateral triangle, all the angles are equal. Also, all the sides are equal.
Hence given that the sides ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x
ST = 2x - 1
SU = 5x - 37
TU = x + 11
Since ST = SU = TU
2x - 1 = 5x - 37
collect like terms
37 - 1 = 5x - 2x
36 = 3x
Divide both 3
36/3 = x
x = 12
Therefore
ST = 2x - 1 = 2(12) - 1 = 23 units
SU = 5x - 37 = 5(12) - 37 = 23 units
TU = x + 11 = 12 + 11 = 23 units