Answer:
..2.50x + 3.75x = 15..
Step-by-step explanation:
i think 
 
        
             
        
        
        
Answer:
40 ft²
Step-by-step explanation:
Let the length of the original rectangle be L and original Breadth be B
it is given that the original area  is 5/8 ft²
i.e.
Original Length x Original Breadth = Original Area, or, 
LB = 5/8 ft² ------------------(1)
Given that the dilation factor is 8, 
Hence, 
New Length = 8L and New Breadth = 8B
THerefore, 
New Area = 8L x 8B
= 64 LB  (from (1) above , we know that LB = 5/8 ft², substitute into expression)
= 64 (5/8)
= 40 ft²
 
        
             
        
        
        
Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units. 
Line BD is placed in the middle, making D the midpoint of side AC. 
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b = 
b= 4√3 or about 6.928 units 
hope this helped
 
        
             
        
        
        
Answer:
B.Similar,sss
Step-by-step explanation:
Since no angles measures are provided in these triangles, we can determine if these triangles are similar by using the SSS Similarity Theorem. This requires that we determine if each pair of corresponding sides have an equal ratio.
 
        
             
        
        
        
Answer: C. 30.47
Step-by-step explanation:
The mean of discrete random variable i.e. the expected value of X is given by :-

Now by using the given table, the expected value of X is given by :-

Hence, the  mean of discrete random variable= 30.47