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Proving Vertical Angles Are Congruent
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Given: 22 and 24 are vertical angles
Prove: 2224
Statements Reasons
m2 2 + m23 = 180
m2 3+ m24 = 180
22 and 24 are vert angles
VX
22 and 23 are a linear pair
23 and 24 are a linear pain
lines m and n intersect at P
m
1
Statements
Reasons
2.
P
n
4
3
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
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step-by-step explanation:

try soting them out first

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