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sleet_krkn [62]
4 years ago
6

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other squar

e. What is the length of each side of the larger square?
Mathematics
1 answer:
o-na [289]4 years ago
5 0

The length of each side of the larger square is 8 cm.

<u>Step-by-step explanation</u>:

Step 1 ;

  • The combined area of two squares = 80 sq.cm
  • The side of small square = x
  • The side of larger square = 2x

Step 2 :

Area of the square = a^2

Area of small square + area of large square = 80

x^2 + (2x)^2 = 80

x^2 + 4x^2 = 80

5x^2 = 80

x^2 = 80/5

x^2 = 16

x = ±4

Step 3 :

Since length cannot be negative, the value of x= 4

∴ The length of the side of small square = 4cm

The length of the side of larger square = 2x = 8cm

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Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

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Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

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For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

4 0
3 years ago
How would you Simplify this???????????
Korvikt [17]
Lets solve this problem:(5x^2)(5x^2)^2


so first of all you would do the () first


so lets do the first one first. 5x^2 = 5*5 wich would equal 25


so the () by each other means multiply


so now its: 25*(5x^2)^2

5x^2= 5*5=25 

now its: 25*25^2

do 25^2 first: 25 * 25 =625

625*25

625*25=15,625 

your answer 15,625


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