9) find the value of the exterior angle in the diagram provided.

150 degree. (D)

Step-by-step explanation:

From the diagram provided above,

In the theorem of a triangle, the sum of the opposite interior angle of a triangle equals to the exterior angle of that triangle.

Therefore, the interior opposite angle of this triangles are

(x + 40) degree and (3x + 10) while the exterior angle = 6x degree.

Base on the theorem above

x + 40 + 3x + 10 = 6x

then solve for x

4x + 50 = 6x

6x - 4x = 50

2x        = 50

divide by 2

x  = 50/2

x = 25.

Therefore , the exterior angle in the diagram = 6 x 25

                                                                          =  600/4

                                                                          = 150 degree.

The value of the exterior angle is 150 degree

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.

sorry man i accidentally pressed yes my bad

step-by-step explanation: