Hello!
We don't need to find the exact perimeter of the fencing, just an estimate.
We will round 12 ft 3 in to 12 ft, because it is closer to 12 ft than 13 ft.
We will also round 8 ft 11 in to 9 ft because there are 12 inches in a foot, which makes 9 ft closer.
The formula for perimeter of a rectangle is:
P = 2l × 2w
The length is about 12 feet and the width is about 9 feet.
Substitute the length and width:
P = 2(12) + 2(9)
Solve:
P = 24 + 18
P = 42
Jose will need about 42 feet of fencing.
Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°

Hope this helps!! :)
Please let me know if you have any questions
Answer:
Perimeter = 2 ( l + w )
if u r given for rectangle thats the formula
5*3^0 = 5,
5*3^1 = 15,
5*3^2 = 45,
5*3^3 = 135,
5*3^4 = 405
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