Analyze the diagram below and complete the instructions that follow. find the value of x.
a)9
b)18
c)45
d)90

The value of x is: . Therefore, correct answer is option (B).

Step-by-step explanation:

We can see that the angles and are vertical angles, therefore, we can set them equal to each other to get an equation as shown below:

Furthermore, we can see that angles and are linear pair angles, therefore, we can set up another equation as shown below:

Upon substituting this value in the first equation, we get:

Therefore, the value of x is 18 degrees and thus, the correct answer is option (B).

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.