Answer
shaun drew δlmn, in which m∠lmn = 90°. he then drew δpqr, which was a dilation of δlmn by a scale factor of 3 from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?

a.) segment lm = 3sengmentpq; this can be confirmed translating point p to point l.

b.) segment mn = 3segment qr; this can be confirmed translating point r to point n

c.) m∠p ≅ m∠n; this can be confirmed by translating point p to point n.

d.) m∠r ≅ m∠n; this can be confirmed by translating point r to point n.

never fear papaguy is here

answer

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

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