shamyalankford10 shamyalankford10

05-10-2021
Mathematics

contestada

This is for 50 brainly points a brainliest for the best explained answer so here's the question.

Angle between two lines What is the size of the angle between the two lines 3x-2y+1=0 and x-3y=0 (answer in degrees and minutes)

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holaxd35 holaxd35

05-10-2021

d) 37 degrees, 52 minutes
Step-by-step explanation:
3x-2y+1=0 y = 3/2 x + 1/2 ... slope₁ (m₁ = 3/2)
x-3y=0 3y =1/3 x ... slope₂ (m₂ = 1/3)
acute angle between two slopes: tan θ = (m₁-m₂) / (1+m₁*m₂)
tan θ = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777
θ = 37.875°

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