Here is a diagram showing triangle A
B
C
and some transformations of triangle
A
B
C
.

On the left side of the diagram, triangle
A
B
C
has been reflected across line
A
C
to form quadrilateral
A
B
C
D
. On the right side of the diagram, triangle
A
B
C
has been rotated 180 degrees using midpoint
M
as a center to form quadrilateral
A
B
C
E
.

Using what you know about rigid transformations, side lengths and angle measures, label as many side lengths and angle measures as you can in quadrilaterals
A
B
C
D
and
A
B
C
E
. Please upload a copy of your image.

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

13664

step-by-step explanation:

=cross multiply

=100 x = 13664