Triangle def has vertices d ( − 4 , 1 ) d-4, 1, e ( 2 , 3 ) e2, 3, and f ( 2 , 1 ) f2, 1 and is dilated by a factor of 3 using the point ( 1 , 1 ) 1, 1 as the point of dilation. the dilated triangle is named δ d ' e ' f ' δd'e'f'. what are the coordinates of the vertices of the resulting triangle?

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step-by-step explanation:

yes

step-by-step explanation:

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

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