Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
Let x represent the amount of dimes
Let y represent the amount of nickles
So since he has 20 coins, x + y = 20
and if we want to find the total money of dimes, we have to multiply x with 10
So 10x + 5y = 165 (in cents)
2x + y = 33
-x - y = -20
x = 13
so x = 13 and y = 7
Hope this helps :)
Answer:
y = 14
Step-by-step explanation:
Given x plug in 3 for x
y = (2times3) + 8
y = 6 + 8
to cheak ur awsner plug in y as 18 and solve for x
Answer:
(a) reduction
(b) 1/2
Step-by-step explanation:
The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.
Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.
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Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.
The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.
