Answer:
110 feet
Step-by-step explanation:
Given that,
Length of the rectangular garden = 9 1/4 feet = 37/4 feet
Width of the rectangular garden = 4 1/2 feet = 9/4 feet
We need to find the total length of fencing Mark needs to surround all 4 gardens.
The length for 1 garden = perimeter of the garden
The length for 4 garden = 4×perimeter of the garden
= 4×2(l+b)
Hence, 110 feet is the total length of the fencing Mark needs to surround all 4 gardens.
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
