Please help ASAP 40 pts

50

Step-by-step explanation:

Equilateral triangles have angles that all measure the same

180/3 = 60

so all angles measure 60

<c = 60

60 = x+10

Subtract 10 from each side

60-10 = x+10-10

x=50

The answer to your question is   x = 50

Step-by-step explanation:

Data

Equilateral triangle

∠C = x + 10

Process

To solve this problem we must consider these facts about triangles

- The sum of the internal angles in a triangle equals 180°

- All the angles in an equilateral triangle measures the same,

Equations

                    ∠A + ∠B + ∠C = 180°

but

                    ∠C + ∠C + ∠C = 180°

-Simplification

                                    3∠C = 180°

-Substitution

                                3(x + 10) = 180°

-Expand

                                3x + 30 = 180°

-Solve for x

                                3x = 180 - 30

                                3x = 150

                                  x = 150/3

                                  x = 50

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

i think the amount would be $140.62