Answer:
Angles that are directly across from each other
Step-by-step explanation:
Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree
Answer:
y = (x -5)² + 3.
Step-by-step explanation:
Given : parabola with a vertex at (5,3).
To find : Which equation has a graph that is a parabola.
Solution : We have given vertex at (5,3).
Vertex form of parabola : y = (x -h)² + k .
Where, (h ,k ) vertex .
Plug h = 5 , k= 3 in vertex form of parabola.
Equation :y = (x -5)² + 3.
Therefore, y = (x -5)² + 3.
Step-by-step explanation:
<u>Step 1: Convert the mixed number into an improper fraction</u>
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<u>Step 2: Multiply to find the area</u>
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<u>Step 3: Convert into a mixed number</u>
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Answer: 
(9, -2) translated (x + 5, y - 3) => (14, -5)
(14, -5) reflected across the y-axis =>
(- 14, - 5)
Answer: There are 62 tricycles in the shop.
Step-by-step explanation:
Given: Number of wheels in a bicycle = 2
Number of wheels in a tricycle = 3
Let x = Number of bicycles , y = Number of tricycles.
As per given , we have
x+y =120 (i)
2x+3y=302 (ii)
Multiplying 2 on both sides of (i)
2x+2y=240 (iii)
Subtract (iii) from (ii) , we get
y= 62
Put value of y in (i) , we get

Hence, there are 58 bicycles and 62 tricycles in the shop.