Answer:
angles in a triangle add up to 180°
5:12:13 = 30
180 ÷ 30 = 6
6 × 5 = 30°
6 × 12 = 72°
6 × 13 = 78°
angles = 30°, 72°, 78°
 
        
             
        
        
        
Answer: x = 40.81 or 41
Step-by-step explanation:
 A = B = 21 
C = 35 
Hypotenuse = x 
Calculating Hypotenuse:
21^2 + 35^2 = x^2
=> 441 + 1225 = x^2 
=> x^2 = 1666
=> x = 40.81 or 41
 
        
             
        
        
        
Answer:
The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary,  the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion. 
(If there is any more you would like to add to the question I can answer that.)
 
        
             
        
        
        
Answer:
Slope = (-5,0)
Step-by-step explanation:
When given two points and asked to find the slope, you can find the answer using slope formula which is:
slope = (y2 - y1) / (x2-x1)
You have been given the points (3,4) and (3,-1). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (3,4) are x1 and y1 and (3,-1) are x2 and y2. Now we can plug it into the formula.
Slope = (-1 - 4) / (3-3)
= -5 / 0
= -5,0
So the answer is (-5,0).