Answer:
The answer is:
5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.
Step-by-step explanation:
Given:
5 ft is ____ % of 37 1 2 ft.
Now, to find the __ :
Let __ be 
So, 5 ft is  of 37 1/2
 of 37 1/2

⇒ 
⇒ 
Multiplying both sides by 200 we get:
⇒ 
Dividing both sides by 75 we get:
⇒ 
⇒ 
Now, 37 1/2 ft is  % of 5 ft.
% of 5 ft.



Multiplying both sides by 100 we get:

Dividing both sides by 5 we get:


Therefore, the answer is 5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.
 
        
             
        
        
        
I) if the triangles are similar then the corresponding angles are congruent. this means that the angles are of the same size.
ii)  If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
thus, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, thus to get m∠C; 
180- (52+65)
=  63 , therefore; m∠C= 63
iii) if two figures are similar they have the same shape and not necessarily the same size while if two figures are congruent then they have the same shape and size
        
             
        
        
        
Try measuring a different way, maybe with just cups
        
             
        
        
        
Answer:
Her mistake was to change the inequality sign from ≥ to ≤.
The sign only changes when you multiply or divide both sides of an inequality by a negative number.
 
        
             
        
        
        
Answer:
   2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
__
To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
   3x(x -4) +5 -x -(2x -7) = 0
   3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
   3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
   3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
__
<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
   d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
   d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.