Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
 
        
                    
             
        
        
        
Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° =  =
 =  ( multiply both sides by l )
 ( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l =  ≈ 35.1 ( to the nearest tenth )
 ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
 
        
             
        
        
        
Answer:b,they are not proportional
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Depends on Howe much you can drink. It varies. 
Step-by-step explanation: