Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The perimeter of the rectangle will be : 
The perimeter will be : 
The perimeter will be : 
As per given question, the perimeter is given as 146 unit.
So,
Subtracting 6 on both sides
Plugging the value x in sides, the sides will be 
and
Hence the length of the longer side is 45 units. : Answer
Hope it will help :)
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
Answer:
JL = 21
Step-by-step explanation:
Given that K is on line segment JL, therefore:
KL + JK = JL (according to segment addition postulate)
KL = 2x - 2
JK = 5x + 2
JL = 4x + 9
Thus:
Solve for x
Subtract 4x from both sides
Divide both sides by 3
Find the numerical length of JL
Plug in the value of x
