1. The counterclockwise rotation by 90° about the origin has rule:
(x,y)→(-y,x).
Then
(-3,-1)→(1,-3).
2. Translation 4 units up has rule:
(x,y)→(x,y+4).
Then
(1,-3)→(1,1).
Answer: after composition of transformations the image point has coordinates (1,1).
Answer:
<u>∠AEB = 72°</u>
Step-by-step explanation:
<u>Finding x</u>
- ∠AEB = ∠DEC (Vertically opposite angles)
- 7x - 5 = 2(4x - 8)
- 7x - 5 = 8x - 16
- 8x - 7x = -5 + 16
- x = 11
<u>Finding ∠AEB</u>
- 7x - 5
- 7(11) - 5
- 77 - 5
- <u>∠AEB = 72°</u>
Answer:
a = B
b = E
c = D
d = A
e = C
Step-by-step explanation:
There are 90 fifth-graders, and each student gives the teacher $9.25.
9.25 × 90 = 832.5
They gave a total of $832.50 to the teacher.
Admission for all of the students will cost $315
832.50 - 315 = 517.5
They have $517.50 left over for lunch.
Each student will get an equal amount of $ to spend on lunch.
517.50 ÷ 90 = 5.75
Each student will get $5.75.
30 dollars dude. 1500 x 0.02