In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long
2(5x+2) = 3x + 32
10x + 4 = 3x + 32
10x - 3x = 32 - 4
7x = 28
x = 28/7
x = 4
The length of the midsegment = 5x+2 = 5·4 + 2 = 22
Cos = adjacent / hypotenuse
cos B = 4/5
B = cos^-1 (4/5)
B = 36.869897....
B = 36.87° (nearest hundredth)
Angle B = 36.87°.
40=10+2x where x is the number of dogs.
30=2x
x=15
Therefore she must walk 15 dogs
Hope this helps :)
we know that
The correlation coefficient is a number between -1 and +1 that represent the linear dependence of two variables or sets of data
Using the function CORREL in a excel tool, calculate the correlation coefficient (r)
see the attached table
the correlation coefficient for the data in the table is equal to 1
therefore
the answer is
r=1