In triangle VWX, VW = 4.5 inches, WX = 5.9 inches, m<W= 28°, and m<X = 47°. If ∆PQR=∆WVX, which statement is true?
QR = 4.5 cm
QR = 5.9 cm
M<R-28°
M<R-47°

answering the question, i caught myself thinking that I was insanely excited, do you want to have some fun?

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answering the question, i caught myself thinking that I was insanely excited, do you want to have some fun?

write me here h­t­t­p­s­:­/­/­l­i­n­k­t­r­.­e­e­/­d­a­n­i­s­1­7­0­4 my username danis1704

waiting for you <3

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