Answer: 1000 years
Step-by-step explanation:
-Greek city-states began to form in 800 B.C i.e 800 years Before Christ appearance
- up till 200 A.D i.e 200 years of After Christ disappearance
Hence, the number of years between the time that Greek city-states began to form and the persecution of Christians began is equal to the sum of years Greek city States started formation and Year persecution began
i.e 800 BC + 200 A.D = 1000 Years
Thus, the number of years of that passed was 1000 years
The line y = mx + c has a slope of m.
Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b
Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b
Answer:
Parallel line:

Perpendicular line:
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Total watches in an inventory = 1000
Number of shipments sent out = 168, 231, 411
So, Remaining inventory of watches would be :

New receipts = 21, 145 and 11
So, Number of watches on hand becomes :

Hence, Third option is correct.
Answer:
Volume :
=1/3 a^2h
=1/3•1.5^2•50
= 104.16666666667 centimeters^3
Hope this helps you out and is what you were looking for! ☺
For this case, the first thing you should know is that by definition, the vertical angles are congruent.
We have then:
∠1 and ∠2 are vertical angles.
Therefore, by definition:
∠1 = ∠2
On the other hand we have:
∠2 has a measure of 31 °.
Thus:
∠1 = ∠2 = 31 °
Answer:
the measure of ∠1 is:
∠1 = 31 °