Answer:
A'(- 3, 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ), hence
A(- 5, - 3 ) → A'(- 3, 5 )
Answer:
Step-by-step explanation:
The total number of magnets that Lisa and Bill made for the craft fair is 60.
They sold about 55% of the magnets. The number of magnets that they sold would be about
55/100 × 60 = 0.55 × 60 = 33
If Lisa says that they sold about 30 magnets, she is correct because if we round off 33 to the nearest ten, it would be 30 magnets.
If Bill says that they sold about 36 magnets, he is wrong because if we round off 36 to the nearest ten, it would be 40 magnets.
Answer:
12 cm and 24 cm
Step-by-step explanation:
The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )
The sum is therefore
2x + 4x = 36
6x = 36 ( divide both sides by 6 )
x = 6
Thus
GP = 2x = 2 × 6 = 12 cm
PR = 4x = 4 × 6 = 24 cm
The artistic crop isn't helpful; it cuts off some vertex names.
The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so
EH² = HL² + EL²
EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339
Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.
Answer: 4.25