Answer:
The correct option should have been
.
Step-by-step explanation:
Given the expression
![\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)](https://tex.z-dn.net/?f=%5Cleft%282x%5C%3A%2B%5C%3A3y%5Cright%29%5C%3A%2B%5C%3A%5Cleft%284x%5C%3A-%5C%3A3y%5Cright%29%5C%3A%3D%5C%3A11%2B%5Cleft%28-5%5Cright%29)
solving the expression
![\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)](https://tex.z-dn.net/?f=%5Cleft%282x%5C%3A%2B%5C%3A3y%5Cright%29%5C%3A%2B%5C%3A%5Cleft%284x%5C%3A-%5C%3A3y%5Cright%29%5C%3A%3D%5C%3A11%2B%5Cleft%28-5%5Cright%29)
Remove parentheses: (a) = a
![2x+3y+4x-3y=11-5](https://tex.z-dn.net/?f=2x%2B3y%2B4x-3y%3D11-5)
Group like terms
![3y-3y+2x+4x=11-5](https://tex.z-dn.net/?f=3y-3y%2B2x%2B4x%3D11-5)
Add similar elements
![6x=6](https://tex.z-dn.net/?f=6x%3D6)
It is clear that not a single given option is
. It means no option is correct. It seems you mistyped the correct options.
The correct option should have been
.
Answer: There are 10 sides
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x = measure of each interior angle
y = measure of each exterior angle
We know that x = 4y as "each interior angle is four times the measure of each exterior angle"
The interior and exterior adjacent angles are supplementary
x+y = 180
4y+y = 180
5y = 180
5y/5 = 180/5
y = 36
If y = 36, then
n = 360/y
n = 360/36
n = 10
Answer:
a=9
divide 81 by 9 on both sides and you get 9.
Step-by-step explanation:
Answer:
RP/QR = OP/NO
Step-by-step explanation:
RP corresponds to OP, QR corresponds to NO. So, RP/QR = OP/ON
Simplifying
5x(4y + 3x) = 5x(3x + 4y)
Reorder the terms:
5x(3x + 4y) = 5x(3x + 4y)
(3x * 5x + 4y * 5x) = 5x(3x + 4y)
Reorder the terms:
(20xy + 15x2) = 5x(3x + 4y)
(20xy + 15x2) = 5x(3x + 4y)
20xy + 15x2 = (3x * 5x + 4y * 5x)
Reorder the terms:
20xy + 15x2 = (20xy + 15x2)
20xy + 15x2 = (20xy + 15x2)
Add '-20xy' to each side of the equation.
20xy + -20xy + 15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
0 + 15x2 = 20xy + -20xy + 15x2
15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
15x2 = 0 + 15x2
15x2 = 15x2
Add '-15x2' to each side of the equation.
15x2 + -15x2 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.