Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
Answer:
Given - Diameter of circle = 14 in
To find - Area of circle
Solution -
Diameter= 2 × Radius
14 = 2 × R
14/2 = R
7 = R
Area of circle= π r^²
22/7 × 7 × 7
22 × 7
154
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
Answer:
52
Step-by-step explanation:
