As they both are tangents of the same circle, their lengths must be equal.
RS = RT
x/4 = x-6.3
x = 4x - 25.2
4x-x = 25.2
3x = 25.2
x = 8.4
As, RS = x/4, it will be equal to 8.4/4 = 2.1
SO, YOUR FINAL ANSWER IS RS = 2.1
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
The answer is A.
You put the numbers in order of the letters and if a letter is missing you put 0
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation
![Z =\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
Where
μ is the mean, x is a data of the population and
is the standard deviation
In this case
![\mu =101\\\\\sigma = 3.4\\\\X = 105](https://tex.z-dn.net/?f=%5Cmu%20%3D101%5C%5C%5C%5C%5Csigma%20%3D%203.4%5C%5C%5C%5CX%20%3D%20105)
Then the z-score is
![Z = \frac{105-101}{3.4}\\\\Z = 1.18](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B105-101%7D%7B3.4%7D%5C%5C%5C%5CZ%20%3D%201.18)
Answer:
78
Step-by-step explanation:
6*10=60
2*9=18
60+18=78