Answer:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
(segment addition postulate)
(substitution)
Solve for x
Divide both sides by 9
MN = 4x
plug in the value of x
MN = 4(1) = 4
Answer:
2.4%
Step-by-step explanation:
Simple interest (I) is calculated as
I = 
where P is the principal, R the rate of interest and T time in years
Here I = 96, P = 800 and T = 5, thus
96 = 
= 
= 40R ( divide both sides by 40 )
R = 
= 2.4%
The formula for the area of a square is:
A = s²
Area = side²
We know that area (A) is 20 ft²
20 = s²
Now we must find the length of the side (s). To do this we must get rid of the square. To remove the square from s take the square root of both sides:
√20 = √s²
s ≈ 4.5 ft <<< approximate answer
To find the exact answer you must simplify the square root:
s = 2√5 ft <<< exact answer
Each side of the square is exactly 2√5 or approximately 4.5
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
