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quester [9]
3 years ago
11

Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)

Mathematics
2 answers:
professor190 [17]3 years ago
6 0

Answer: 10x+14y

Step-by-step explanation:

vfiekz [6]3 years ago
4 0

4*3x =12x

4*y =4y

Result:12+4y

2*x =2x

2*-5y=-10y

Result:2x+-10y

Final result:(12x+4y)+(2x+-10y)

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AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha
ra1l [238]

Answer:

Therefore the lengths of the opposite side pairs.

C) 18, 9

Step-by-step explanation:

Given:

Quadrilateral ABCD is a parallelogram

AB = 6x

DC = x + 15

AD = 9

BC = 3y

TO Find:

AB = ?

BC = ?

Solution:

Quadrilateral ABCD is a parallelogram ..........Given

∴ Both pairs of opposite sides of a Parallelogram are congruent.

∴ AB = DC   and AD = BC

substituting the values we get

6x=x+15\\6x-x=15\\5x=15\\x=\dfrac{15}{5}\\ x=3\\and\\9=3y\\y=\dfrac{9}{3}\\ y=3

substituting the x' and 'y' values we get

AB= 6\times 3=18\\and\\BC=3\times 3=9

Therefore the lengths of the opposite side pairs.

C) 18, 9

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