Translations of figures preserve the lengths and angles of the original figures, then all the segments of the image figure are parallel to correspondant segments of the original figure.

Then you can state that the same relation between any two sides of the original figure is what you will have for the image.

AB is parallel to HE

AD is parallel to HG

DC is parallel to GF

BC is parallel to EF

Then is EF is parallel to HG in the pre-image the correspondant segments in the image are parallel too, i.e. BC is parallel to AD in the image.

7 0

3 years ago

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To decrease an amount by 8 percent, what single multiplier would you use?

Alchen [17]

That's far more problems than I usually accept in a single question, but since you're new and obviously a beginner, I'll try to help.

To Increase an amount by 7% what single multiplier would you use 
We want 7% more than 100% of the amount, so the multiplier is 
(100% + 7%) = 107% = 1.07 
[Remember that "percent" means "per hundred," so we divide a percentage by 100 to get the numerical equivalent.] 

To Decrease an amount by 7% what single multiplier would you use 
We want 7% less than 100% this time, so the multiplier is 
(100% - 7%) = 93% = 0.93 

5 ÷ 0.1 
= 50 

(To One Decimal Place) (0.3 x 2.8)Squared 
[Notation: around here we usually write "squared" as ^2, where the ^ is an exponentiation sign.] 
(0.3 x 2.8)^2 = 0.84^2 = 0.7056 
which is 0.7 when rounded to one decimal place. 

6.38 + 4.52 ÷ 4.71 +9.53 
= 6.38 + (4.52 ÷ 4.71) + 9.53 [assuming operations in the usual order] 
= about 6.38 + 0.96 + 9.53 
= 16.87 

Expand and Simplify 
(x + 2)(x + 3) 
= x^2 + 2x + 3x + 6 
= x^2 + 5x + 6 

Expand and Simplify 
(x + 2)(x - 3) 
= x^2 + 2x - 3x - 6 
= x^2 - x - 6 

x + 1 < 5 
x < 4 [subtracting 1 from both sides] 

Make n the subject of the formula.... M=3n 
3n = M 
n = M/3

5 0

3 years ago