Answer:
1)congruent,similar
2)rotations,refkections,translation
3)rotation followed by a dilation
4)<H,<I,<J,HI,IJ,HJ
Answer:
tan(-π/3) = -1.732050808
Step-by-step explanation:
Given in the question, we have to find the value of tan(-pi/3) or it can be written as:
where x is the exact value of the given tangent.
However, in this question, one may get confused and put the value of π = 3.14, which is wrong. The value given is in radians, which is used to measure angles, just like degrees.
To make it easier, lets convert the radians into degrees. We know that
π = 180°
-π/3 = -180/3 = -60°
Find x:
x = tan (-60°)
x = -1.732050808
(x-3)^2 + (y-5)^2 = 74
Radius is about 8.602
Equation 1) x + 6y = 2
Equation 2) 5x + 4y = 36
Multiply all of equation 1 by 5.
1) 5(x + 6y = 2)
Simplify.
1) 5x + 30y = 10
2) 5x + 4y = 36
Subtract equations from one another.
26y = -26
Divide both sides by 26.
y = -1
Plug in -1 for y in the first equation.
x + 6y = 2
x + 6(-1) = 2
Simplify.
x - 6 = 2
Add 6 to both sides.
x = 8
D : (8, -1)
~Hope I helped!~