How many triangles are in this picture? And do the stars and that stuff count?

6 such triangles

Step-by-step explanation:

No, I don't believe the stars count, but if so let us walk through how to determine the number of triangles;

Now we can directly spot 4 triangles from the picture, but if we were to put these mini triangles together, they themselves would form triangles. Let us count these number of triangles.

From this picture I spot 2 such triangles, so it should be that there are 6 triangles present in the picture

Answer; 6 triangles

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

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