Answer:
- enlargement: >1
- reduction: <1
- 1: same size
Step-by-step explanation:
The scale factor of an enlargement is greater than 1.
The scale factor of a reduction is less than 1.
A scale factor of 1 will produce a congruent figure, one the same size as the original.
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<em>A longer way to say it</em>
A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...
(greater than original)/(original) = greater than 1
Similarly, a figure is reduced when its dimensions are less than those of the original:
(less than original)/(original) = less than 1
Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.
Answer:
a.) 2(2x)+2(4x-3)
b.)2(2x)+2(4x-3)=42
Step-by-step explanation:
b.)2(2x)+2(4x-3)=42
distribute
4x+8x-3=42
add the like terms
12x-3=42
move the -3 by adding to both sides
12x=45
divide both sides by 12
12x/12=45/12
x=3.75
and to make sure it's right, plug x into the equation.
2(2(3.75))+2(4(3.75)-3)=42
now multiply/add/subtract everything.
2x2x3.75=15 (This was the 1st set of parenthesis)
2x4x3.75-3=27 (This was the 2nd set of parenthesis)
15+27=42
42=42
Answer:
1st = 22
2nd = 24
3rd = 26
Step-by-step explanation:
1st = x
2nd = x +2
3rd = x + 4
6(x + x + 4) = 24 + 11(x + 2)
6(2x + 4) = 24 + 11x + 22
12x + 24 = 46 + 11x
x + 24 = 46
x = 22
x + 2 = 24
x + 4 = 26
