Answer:
z=125
y=30
Step-by-step explanation:
x and z are the same because of the congruent sides then is triangle sum
Answer:
Proved
Step-by-step explanation:
Given
Integers: a and b
Where 
Required
Show that 
We start by writing out the given expression

Then, take nth root of both sides

For instance:
Let a = 2, b = 2 and n = 4
First
Since 
Then


Proved
<em>This is so for all positive values of a,b and n where a < b</em>
Option D: A(n) = a + (n – 1) d
Solution:
To identify the formula for finding the nth term of an arithmetic sequence.
Let a be the first term.
d be the common difference of the each term.
n be the term of the number.
A(n) be the nth term of the arithmetic sequence.
Arithmetic formula:
A(n) = a + (n – 1) d
Example: 1, 4, 7, 10, 13, 16, 19, ...
This is a arithmetic sequence.
a = 1, d = 4 – 1 = 3.
To find the 5th term:
Substitute this in the above formula, we get
A(n) = a + (n – 1) d
A(5) = 1 + (5 – 1) 3
= 1 + 4(3)
= 1 + 12
A(5) = 13
In the given sequence 5th term is 13.
Hence Option D is the correct answer.
A(n) = a + (n – 1) d
Answer:
$230
Step-by-step explanation: