*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Complete Question
The picture of the stem plot National and American League is shown on the first uploaded image
Answer:
The value is ![\= x = 50.14](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%2050.14)
Step-by-step explanation:
From the question we are told that
The stem plot for National League is
![2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ \ 3\ 3\ 7\\7](https://tex.z-dn.net/?f=2%5C%20%5C%20%5C%20%5C%20%5C%209%5C%5C3%5C%20%5C%20%5C%20%5C%20%5C%201%20%5C%5C4%5C%20%5C%20%5C%20%5C%20%5C%202%5C%20%206%5C%20%207%5C%20%208%5C%20%208%5C%5C5%20%5C%20%5C%20%5C%20%5C%20%5C%203%5C%20%205%5C%20%205%5C%20%205%5C%5C6%20%5C%20%5C%20%5C%20%5C%20%5C%203%5C%20%203%5C%20%207%5C%5C7)
The sample size is n = 14
Generally the stem plot is interpreted in this manner
The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with
for example 4th row
5 3 5 5 5
is equivalent to
53 55 55 55
Generally the mean for the national league is mathematically represented as
![\= x = \frac{29 + 31 + \cdots + 67}{14}](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%5Cfrac%7B29%20%2B%2031%20%2B%20%5Ccdots%20%2B%2067%7D%7B14%7D)
=> ![\= x = \frac{702}{14}](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%5Cfrac%7B702%7D%7B14%7D)
=> ![\= x = 50.14](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%2050.14)
Answer:
25.6
Explanation:
t = 2 seconds
h = 8 + 40.8(2) - 16(2)^2
Solve for h by simplifying both sides of the equation, then isolating the variable.
h = 25.6
Answer:
28
36
40
44
just do the number +1 and ×4