<span>Rules for rotating points about the origin
1. The point (a,b) rotated 90° counterclockwise about
the origin
becomes (-b,a).
</span><span>A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
</span>A (a,b)-----------------A′ (-b,a)=(-1, 3)----------->A( 3,1)
B (a,b)-----------------B′ (-b,a)=(-2, 2)----------->B( 2,2)
C (a,b)-----------------C′ (-b,a)=(-2, 1)----------->C( 1,2)
D (a,b)-----------------D′ (-b,a)=(-1, 1)----------->D( 1,1)
Step-by-step explanation:
when 2 shapes are similar, it means that all their angles are the same compared with each other.
and all distances (incl. side lengths) if one shape correlate to the corresponding distances in the other shadow by the same ratio or factor.
we have one side (30 m in A and 50 m in B), where we have both measures.
we see that the ratio to "go" from A to B is 30/50 = 3/5.
that means a distance in A is the same distance in B multiplied by 3/5.
and that factor is the same also for every other side.
therefore,
x = 15 m × 3/5 = 3 m × 3 = 9 m
y × 3/5 = 18 m
3y = 90 m
y = 30 m
<u>x₁ + x₂</u> <u>y</u>₁ + <u>y</u>₂<u>
</u> 2 = M 2 = M
<u>
x + 8</u> <u>y + -2</u><u>
</u> 2 = -4 2 =6
<u>multiply both sides by 2.
</u>x+8=-8 y - 2 = 12
<u>x = -16</u> <u>y = 14
</u>
Final Answer: (-16, 14)
Answer:
Jordan
Step-by-step explanation:
Jayden bikes 0.3 miles in 1 minute if you divide 1.8 by 6.
Jordan bikes 0.4 miles in 1 minute if you divide 3.2 by 8.
Then, we can Jordan bikes 0.1 mile faster than Jayden in a minute.
Answer:
- 76.7 million
- 89.1 million
- 75 million
Step-by-step explanation:
Let x represent the arrivals and departures at the third airport. Then the number at the first airport is x+1.7, and the number at the second airport is x+14.1. The total is ...
(x+1.7) + (x+14.1) + (x) = 240.8
3x +15.8 = 240.8
3x = 225
x = 75
x+1.7 = 76.7
x+14.1 = 89.1
The first airport has 76.7 million arrivals.
The second airport has 89.1 million arrivals.
The third airport has 75 million arrivals.
