Answer:
x = 9
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.
Cross multiply to solve for x.
9(3x+36) = 81(3x-20)
27x + 324 = 243x -1,620
1,944 = 216x
9 = x
Answer:
The difference in sales is that Hillary sold $2,400 more than Jon
Step-by-step explanation:
To find each of their sales, start by dividing the amount they made by the percentage of commission that they earn.
Hillary
3498/.22 = 15,900
Jon
3780/.28 = 13,500
So now to find the difference, we subtract Jon's total from Hillary's.
15,900 - 13,500 = 2,400
Answer:
98
Step-by-step explanation:
since it's a transversal line 82 will be equal to the angle on top of b the angles on a straight line equals to 180. 180 - 82 = 98
Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²