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Sav [38]
3 years ago
9

* PLEASE ANSWER TY* You can find the area of a polygon by dividing it into triangle and rectangle sub-parts and adding up their

individual areas. Which of the following is one of the rules of this method? a.) You must use one rectangle and two triangles. b.) You must be able to calculate the area of the triangle and rectangle sub-parts. c.) The polygon must be a regular polygon. d.) The triangles must all be congruent.
Mathematics
1 answer:
Mkey [24]3 years ago
7 0

Answer:

C.)

Step-by-step explanation:

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(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a -
AveGali [126]

Answer:

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

5 (x - y + z) + (4x + 3y) =9x - 2y +5z

Step-by-step explanation:

Solving (i):

3 (a + 5b) + a (a + 4)

Open brackets

3 (a + 5b) + a (a + 4)  = 3a + 15b + a^2 + 4a

Collect like terms

3 (a + 5b) + a (a + 4)  = a^2 + 4a+3a + 15b

3 (a + 5b) + a (a + 4)  = a^2 + 7a + 15b

Solving (ii)

y (10 - y) + 3 (y - 2)

Open bracket

y (10 - y) + 3 (y - 2)  = 10y - y^2 + 3y - 6

Collect like terms

y (10 - y) + 3 (y - 2)  = - y^2+10y  + 3y - 6

y (10 - y) + 3 (y - 2)  = - y^2+13y - 6

Solving (iii)

2 (8a - 5b) + 3 (5a - 12)

Open bracket

2 (8a - 5b) + 3 (5a - 12)  = 16a -10b + 15a - 36

Collect like terms

2 (8a - 5b) + 3 (5a - 12)  = 16a+ 15a -10b  - 36

2 (8a - 5b) + 3 (5a - 12)  = 31a -10b  - 36

Solving (iv)

3 (y - 3) + ( 8 - 6y + x)

Open bracket

3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x

Collect like terms

3 (y - 3) + ( 8 - 6y + x) = 3y  - 6y + x- 9 + 8

3 (y - 3) + ( 8 - 6y + x) = -3y + x-1

Solving (v):

a (a - 2b) + b (b + 2a - c)

Open bracket

a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc

Collect like terms

a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2  - bc

a (a - 2b) + b (b + 2a - c) =a^2  + b^2  - bc

Solving (vi)

5 (x - y + z) + (4x + 3y)

Open brackets

5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y

Collect like terms

5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z

5 (x - y + z) + (4x + 3y) =9x - 2y +5z  

6 0
3 years ago
The original price of a skateboard, not including tax, was $90. Maggie paid 80% of the original price. How much did Maggie pay f
S_A_V [24]
Hey!!

here is your answer >>>

the original price is $90 and Maggie paid 80% of it!. which means ,

paid = (80/100)90

=> $72

Hope my answer helps!
5 0
3 years ago
HELP PLZ I NEED IT TONIGHT
Mashcka [7]

Answer:

it y= - 8x

Step-by-step explanation:

7 0
3 years ago
A bag contains 63 marbles, some white and some green. The ratio of white marbles to green ones is 2:7.
Jet001 [13]

Answer:

2:7 = 14:59

Step-by-step explanation:

2 + 7 = 9

63 divided by 9 = 7

Get the 2 from "2:7"

2 x 7 = 14

Get 7 from "2:7"

7 x 7 = 49

7 0
2 years ago
Margot planted a rectangular garden that was 18 feet long and 10 feet wide. How many feet of fencing will she need to go all the
slamgirl [31]
Find the perimeter when it says fencing 2(width + length)
4 0
3 years ago
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