Answer: 30 m
Step-by-step explanation: i think this is correct and i apologize if it’s not, but there’s two ways you could do this. 1: initial X increase/decrease in decimal form. in this case, 24 X 1.25 (125% in decimal form). 2: you could figure out what 25% of 24 meters is in the same way as method 1, and then multiply that answer by five to get 125%. i reallyyy hope this helped and if it’s wrong i’m really sorry, but good luck!
A rotation transformation is where you turn a figure about a given point. The point about which the object is rotated can be inside the figure or anywhere outside it. There must be no change in shape or size of the object.
A reflection of an object is the 'flip' of that object over a line, called the line of reflection.
A translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.
All these three transformations are rigid - preserve the figure sizes.
A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
Answer: dilation maps the large triangle onto the small triangle
Answer:
<em>4years</em>
Step-by-step explanation:
Let the present age of Mark be x
Let the present age of Max be y
Five years ago
Mark = x-5
Max = y - 5
If mark was twice as old as Max, then;
x - 5 = 2(y-5)
x-5 = 2y - 10
x-2y = -10+5
x - 2y = -5 ... 1
In three years,
mark = x+3
Max = y+3
Now if Max's age will be 2/3 that of Mark, then;
x+3 = 2/3(y+3)
3(x+3) = 2(y+3)
3x + 9 = 2y+6
3x-2y = -3 .... 2
Solve 1 and 2 simultaneously
x - 2y = -5 ... 1
3x-2y = -3 .... 2
From 1: x = -5 + 2y
Substitute into 2:
3(-5+2y) - 2y = -3
-15 + 6y - 2y = -3
-15 + 4y = -3
4y = -3 + 15
4y = 12
y = 3
Recall thet x = -5+2y
x = -5+2(3)
x = -5 + 6
x = 1
The sum of their ages will be x+y
x+y = 1+3
x+y = 4
<em>Hence the sum of their ages now is 4years</em>
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b(n)=-31+4(n-1) is the explicit formula
