Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively 
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket 
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
        
             
        
        
        
Answer:
AB is parallel to BE because it is an equilateral triangle. 
BE is parallel to EC because it has 2 of the same angles to the same sides are equal.
Hope that helps, it's a tad hard to explain
 
        
             
        
        
        
Answer:
the sequence begins as {4, 7, ... }
Step-by-step explanation:
a(n) = 3n + 1
The first term is a(1) = 3(1) + 1 = 4, and
the second term is a(s) = 3(2) + 1 = 7
So the sequence begins as {4, 7, ... }
 
        
             
        
        
        
Answer:
Step-by-step explanation:
<u>Property of the odd function is:</u>
<u>Same applies to the given function:</u>
- f(x) = -2x⁵ + x³ - 7x 
- f(- x) = -2(-x)⁵ + (- x)³ - 7(-x) = 2x⁵ - x³ + 7x = - (2x⁵ + x³ - 7x) = - f(x)