Without computing, select all of the expressions that have the same value as 81. (37 + 59).
A. 81. (59 +37)
Answer:

Step-by-step explanation:

It's C. Just sett he equations from both sides equal to the corresponding equation
Answer:( c ) 1.414
Step-by-step explanation:
Let m be mean
M=mean=sum/n
M= (16+19+18+17+20+18) / 6
M=108/6
M=18
Let start finding:
The standard deviation formula is= sqrt( Summation of |x-m|^2 / n-1)
|x-m|^2
For 1st: |16-18|^2=4
For 2nd: |19-18|^2=1
For 3rd: |18-18|^2=0
For 4th: |17-18|^2=1
For 5th: |20-18|^2=4
For 6th: |18-18|^2=0
Summation of |x-m|^2 =10
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(10 / 5)
S.D=sqrt(2)
S.D= 1.414
Distance between the top and bottom of the bridge is 76 feet
Solution:
The image of the question is attached below.
Ratio of the triangles is 1 : 1.
AC = 2x + 10 and EC = 4x − 18.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
Therefore sides AC and EC are corresponding to each other.
AC : EC = 1 : 1



Subtract 10 from both sides of the equation.

Subtract 4x from both sides of the equation.

Divide by -2 on both sides, we get
⇒ x = 14
Distance between the top and bottom of the bridge is EA.
EA = AC + EC
= 2x + 10 + 4x - 18
= 6x - 8
= 6(14) - 8
= 84 - 8
EA = 76 feet
Distance between the top and bottom of the bridge is 76 feet.