We have that AB || DC.
By a similar argument used to prove that AEB ≅ CED,we can show that (AED) ≅ CEB by (SAS) . So, ∠CAD ≅ ∠ (ACB) by CPCTC. Therefore, AD || BC by the converse of the (
ALTERNATE INTERIOR ANGLES) theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram
1. AED
2. SAS
3. ACB
4. ALTERNATE INTERIOR ANGLES
Answer: D. 16.33
Step-by-step explanation:
The area which is not in used for the flower gardens is 10964 sq ft.
Step-by-step explanation:
Given,
Length (l) of the rectangular park = 160 ft
Width (b) of the rectangular park = 80 ft
Length (l) of each rectangular flower garden = 18 ft
Width (b) of each rectangular flower garden = 17 ft
To find the area which is not in used.
Formula
The area of rectangle = l×b
Now,
The area of the rectangular park = 160×80 sq ft = 12800 sq ft
The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft
The area of 6 rectangular flower garden = 306×6 sq ft = 1836 sq ft
So,
The area which is not in used = 12800-1836 sq ft = 10964 sq ft.
So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
