The rule for dilation (about the origin) is
(x,y)->(kx,ky) where k is the dilation factor.
Let's try a few points,
D(4,8)->D'(2,4)=((1/2)4,(1/2)8) => k=1/2
F(8,8)->F'(4,4)=((1/2)8,(1/2)8) => k=1/2
We can repeat the same verification with points E & G with the same results, so
Answer: scale factor is 1/2, or 0.5.
It would surely be helpful if you let us know which angles to measure!
So,
There are 5 times as many yellow labs (call them y) as terriers (call them t).
5t = y
There are 18 dogs total.
t + y = 18
Substitute 5t for y in the second equation.
t + 5t = 18
6t = 18
Divide both sides by 6.
t = 3
There are three terriers and 15 yellow labs.
So the system of equations would be:
5t = y
t + y = 18
As for the model, you can have a circle represent the number of terriers. Since there are 5 times as many yellow labs as terriers, you will have to have five more circles. Adding them up, you will have 6 of the circles, or 6 times circle. The total is 18, so 6 of the circles is 18. 6 times what is 18? 3. Therefore the circle, and therefore the number of terriers, is 3.
Answer:
16
Step-by-step explanation:
The first thing you would do is the 1+3, because parentheses are solved first. This gives you 4 and subsequently 8/2 * 4.
Next you would do 8/2. Multiplication and divison have the same priority so this is done left to right: 8/2 =4, giving us 4 * 4.
Four times four is sixteen.
Direct variation is of the form y = kx where k is a constant
So its A
