28................................................
 
        
             
        
        
        
Since it is the midpoint we can say:
12x  - 1 = 8x +11
All we have do to is get all the x's alone on one side
12x - 1 = 8x + 11
12x = 8x + 12    (add both sides by 1)
4x = 12   (subtract both sides by 8x)
x = 3       (divide both sides to get what x is)
        
             
        
        
        
You are given Kayla's walking distance along the edge of the river 100 ft and marks point C, then she walks 100 ft further and marks point D and she turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location. ABC and EDC are congruent. thats just what i think it is tho
        
             
        
        
        
Answer:
The answer to your question is:    ( - 24 / 29, ∞ )
Step-by-step explanation:
                                              6x + 3 < 8 (8x + 6) + 3
                                              6x + 3 < 64x + 48 + 3
                                              6x + 3 < 64x + 51
                                              6x - 64x < 51 - 3
                                             - 58 x < 48
                                             x > - 48 / 58
                                             x > - 24 / 29
                                           ( - 24 / 29, ∞ )
 
        
             
        
        
        
Answer:  The total number of logs in the pile is 6.
Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32  and  common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is

Since there are n logs in the pile, so we get

Thus, the total number of logs in the pile is 6.