Answer:
Therefore,
Slopes are Equal, Hence the Lines are not Perpendicular.
Step-by-step explanation:
Given:
.......Equation ( 1 )
.......Equation ( 2 )
Comparing with,
......General Slope point form
Where m =slope
We get
For Equation ( 1 )
For Equation ( 2 )
Hence,

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.
For Perpendicular we require

Therefore,
Slopes are Equal, Hence the Lines are not Perpendicular.
(x-4)/10=7/5
x-4=70/5
x-4=14
x=18
here you go, practice it once or twice. good luck
Answer:
57.885
Step-by-step explanation:
For such calculations a probability calculator is very helpful. The one in the attachment shows the 87th percentile to be 57.885.
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A table of the standard normal distribution will tell you the 87th percentile corresponds to a z-value of 1.12639. Then the X value is ...
X = Zσ +μ = 1.12639(7) +50 = 57.885
Answer:
Step-by-step explanation:
let one diagonal=x
other diagonal=3x
area=1/2 (x±3x)=3/2 x²=54
x²=54×3/2=81
x=9 cm
3x=3×9=27
sum of diagonals=x+3x=4x=4×9=36 cm