This is a fairly easy question. So I'll break it down and give you a description of the terms.
A repeating decimal (like 1/3, 3.333etc is often written as 3.3 with a dot above the second 3 or a ... or an etc) can be anything you chose, 0.7222etc...., 0.3555etc.... Any number which goes on forever. Your choice! A terminating decimal does not go on forever, like 0.25 or 0.43353. It can be as long as you like but it has to end at some point.
Inequalities are just a question, which value is bigger? You use a < or > to show the relationship, x<y means x is smaller than y. Same for y>x.
So just choose two numbers, 0.333... and... let's say, 0.72. 0.72 is larger so we write 0.333...<0.72
Done!
Answer:
In this equation n = 15
Step-by-step explanation:
In order to find this, we first must make each term a base 3. Since 9 is 3 squared, we can change it easily to base 3.
3^5 * 9^5 = 3^n
3^5 * (3^2)^5 = 3^n
3^5 * 3^10 = 3^n
3^15 = 3^n
Now that we have both in simple term of 3 raised to a power, we can eliminate the 3's and see that 15 = n
Answer:
Only choices C and D are solutions
Step-by-step explanation:
6x + 3y = -15
y = -2x - 5
6x + 3y = -15
6x + 3(-2x - 5) = -15
6x - 6x - 15 = -15
0 = 0
Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.
We need to check each choice in just one equation.
Let's use the second equation.
y = -2x - 5
A.
(2, 7)
7 = -2(2) - 5
7 = -4 - 5
7 = -9 False
Not a solution
B.
(5, 0)
0 = -2(5) - 5
0 = -10 - 5
0 = -15 False
Not a solution
C.
(-3, 1)
1 = -2(-3) - 5
1 = 6 - 5
1 = 1 True
Solution
D.
-13 = -2(4) - 5
-13 = -8 - 5
-13 = -13 True
Solution
Answer: Only choices C and D are solutions
The consecutive angles are
Angle x
And
Angle z
