Answer:
1:3
Step-by-step explanation:
9/3 = 3
3 is the scale factor
Answer:
Step-by-step explanation:
<u>Rectangle has equal diagonals:</u>
<u>Substitute and solve for x:</u>
- 5x + 1 = 8x - 32
- 8x - 5x = 1 + 32
- 3x = 33
- x = 11
<u>Find the length of the diagonals:</u>
- JL = MK = 5*11 + 1 = 56 units
<u>Diagonals of the rectangle bisect each other:</u>
- KN = MK / 2 = 56/2 = 28 units
no substituion only rea numbersStep-by-stion:
Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Answer:

Step-by-step explanation:
a is the height
b is the base
c is the hypotenuse