Solve for X. I really need help with problem. Please

Step-by-step explanation:

I hope you can understand it

Angle AOB = x + 4

Angle BOC = 3x + 2

Angle AOC =90° ( ∵ it is right angle )

The value of "x".

Since it is right-angle,

 x + 4 + 3x + 2 = 90°

 x + 3x + 4 + 2 = 90°

 4x + 6 = 90°

 4x = 90° - 6

 4x = 84°

x =

 x = 21°

Now, the two angles are

∠ AOB = x + 4 = 21° + 4 = 25°

∠ BOC = 3x + 2 = 3 x 21° + 2 = 63° + 2 = 65°

➡ ∠ AOB + ∠ BOC = ∠ AOC

➡ 25° + 65° = 90°

➡ 90° = 90°

➡ L. H . S. = R. H. S

Hence verified. ✔

(Note:- Kindly refer to the attached file.)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

9987

step-by-step explanation: