Answer:

Step-by-step explanation:
Given



Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;

Substitute the values of BD, BC and CD

Collect Like Terms


Divide both sides by -4


To determine the length of CD;
Substitute 3 for x in 
Hence;

14n + 21
Just distribute the 7 to the 2n and the 3.
7(2n + 3)
(7 * 2n) + (7 * 3)
14n + 21
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Answer:
slope: -1/2
y-intercept: 2
Step-by-step explanation:
y=mx+b is the equation to a linear function
m=slope
b=y-intercept
In this case, -1/2 is the m, and 2 is the y-intercept.
Answer:
2.542
Step-by-step explanation:
Given the data :
Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)
A 6 8 2
B 5 5 0
C 10 10 0
D 7 10 3
E 6 8 2
F 5 6 1
G 2 8 6
This is a paired test as each subject has two different data values :
Difference in score, d :
dbar = Σd / n
dbar = (2+0+0+3+2+1+6) /
dbar = 14 / 7
dbar = 2
Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]
Using calculator ; Sd = 2.082
Test statistic = dbar ÷ (Sd/√n)
Test statistic = 2 ÷ (2.082 / 7)
Test statistic = 2 ÷ 0.7869220
The statistic = 2.5415
Answer:
The solution for the other side length is the interval
(2.5,6.5)
Step-by-step explanation:
I will assume that is a triangle
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
x ---> the measure of the third side
Applying the Triangle Inequality Theorem
1) 

Rewrite

2) 

therefore
The solution for the other side length is the interval
(2.5,6.5)