<span>The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides </span>⇒
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10/12 = (3x+2)/(5x-0.4)
10(5x-0.4) = 12(3x+2)
50x - 4 = 36x + 24
50x - 36x = 24 + 4
14x = 28
x = 28/14
x = 2
QS = 3x + 2 = 3*2 + 2 = 6 + 2 = 8
SR = 5x - 0.4 = 5*2 - 0.4 = 10 - 0.4 = 9.6
Answer is QS=8, SR=9.6
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Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
let the consecutive multiples be 7(n-1) , 7n and 7(n+1)
so 7(n-1)+7n+7(n+1)=777
or 3n=111,
n=37
252,259,266
Answer: False
Step-by-step explanation:
Example 3 times -3= -9