A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).
Answer:52.0
Step-by-step explanation:you just add a decimal then a 0 because it is a whole number
Boys are b
Girls are g
b + g = 120
2g = b
Substitute the second equation into the first
2g + g = 120
3g = 120
g = 40
Plug in g = 40 and solve for b
b + g = 40
b + 40 = 120
b = 80
There are 40 girls and 80 boys.
If you have supplementary angles, that means that the angles have to add up to 180°. So x+(x+8)=180° So I would combine like terms 2x+8=180 Now subtract by 8 on both sides which gives me 2x=172 now divide by 2 and x equals 86°! I hoped this helped you!
