In the figure, cd = ef and ab = ce. complete the statements to prove that ab = df.
cd + de = ef + de by the (a. addition b. subtraction c. substitution d. transitive ). property of equality
ce = cd + de and df = ef + de by ( a. addition b. subtraction c. segment addition d. transitive )
ce = df by the ( a. addition b. subtraction c. substitution d. transitive) property of equality.
ce = df by the ( a. addition b. subtraction d. substitution d. transitive) property of equality.

the answer is b.)

< 1=< 2

3 is greater then both of those numbers

explanation:

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west