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Snezhnost [94]
3 years ago
5

How has AABC been rotated? O 270° 0 180° 90° 0-90°

Mathematics
1 answer:
astraxan [27]3 years ago
5 0
Um I don't see were it says aabc
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A square piece of paper has an area of x2 square units. A
Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

5 0
3 years ago
Find the value of Q3 for the following data set. 3 5 6 6 8 9 9 9 10 10 11
miv72 [106K]
The answer would be C. 10
6 0
3 years ago
Read 2 more answers
A family spends $450 every month on food. If the family’s income is $1,800 each month, what percent of the income is spent on fo
baherus [9]

Answer:

25%

Step-by-step explanation:

10(450/1800)

8 0
3 years ago
7. Find the measure of one exterior angle of<br><br> the regular polygon.<br><br> Triangle
Phantasy [73]

Answer:120°

Step-by-step explanation:

sum of exterior angles=360

In a triangle we have 3 exterior angles

Size for each exterior angle=360/3

Size for each exterior angle=120°

8 0
3 years ago
Days before a presidential​ election, a nationwide random sample of registered voters was taken. Based on this random​ sample, i
erica [24]

Answer:

We are 95% confident that the percentage of registered voters in the nation planning on voting for Robert Smith is between 49% and 55%.

Step-by-step explanation:

Given that :

Margin of Error = ±3%

Sample Proportion = 52%

Confidence level = 95%

The 95% confidence interval is :

Sample proportion ± margin of error

52% ± 3%

Lower boundary = 52% - 3% = 49%

Upper boundary = 52% + 3% = 55%

The interpretation is that at a given confidence level ; the popukation proportion based on the sample proportion and margin of error is in the confidence interval.

7 0
3 years ago
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