Answer:
750.5
Step-by-step explanation:
Expression for perimeter is 2(14-x + x) = 28
<u>Step-by-step explanation:</u>
Step 1:
Given expression for area of the rectangle = a(x) = x(14-x) where x is the width. Then length = 14-x since area = length × width
Step 2:
Find expression for perimeter of the rectangle.
Perimeter of the rectangle = 2(length + width) = 2(14 - x + x) = 2 × 14 = 28
It's an isosceles triangle so angles A and BCA are congruent.
Angle BCA is the supplement of BCD, so 180-109 = 71.
Angle A is congruent to that, so A=71 degrees.
Let's see if we can get that in the format they want, kind of as a proof.
1. ∠BCD=109° Reason: Given
2. AB ≅ BC Reason: Given
3. ∠BCA = 71° Reason: Linear pairs are supplementary
4. ΔABC is isosceles. Reason: Definition of isosceles
5. ∠A ≅ ∠BCA Reason: Isoceles triangle theorem
6. ∠A = 71° Reason: Def congruent
Answer: 71 degrees
-3...............................................snapchat?
