In your words, why do the radian measurements at 30 degrees and 210 degrees have the same denominator?

So the degrees was converted to rad by dividing it with a common number 180°, which is half of a revolution which makes 30° and 210° alike.

Step-by-step explanation:

360° = 2π

180° = π

210° = 210/180 * π

210° = 7/6 π rad

30° = 30/180 * 1

30° = 1/6π rad

So the degrees was converted to rad by dividing it with a common number 180.

That's why 6 is the denominator for both radians.

And another point, 210° and 30° are alike in the sense that , they ate the beginning of half if a revolution.

30 is the beginning to yield 180°

210-180=30

So 210 is also the beginning to yield 360°

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70