9514 1404 393
Answer:
140°
Step-by-step explanation:
The value of the exterior angle (x°) is the sum of the other two angles shown. These are known as "remote interior angles."
x° = 64° +76°
x° = 140°
_____
<em>Additional comment</em>
This relationship derives from the fact that the exterior angle and the adjacent interior angle have a sum of 180° (they are a linear pair). We also know that the adjacent interior angle and the other two given angles have a sum of 180°.
If we call the unknown interior angle U, these relations are ...
64 + 76 + U = 180 . . . . sum of angles in a triangle
x + U = 180 . . . . . . . . . . sum of angles in a linear pair
Comparing these two equations, we see that ...
64 + 76 = x
Answer:
C 10 columns and 12 rows
Step-by-step explanation:
c = columns
r = rows
5c + 5c = 10c
6r + 6r = 12r
10 columns and 12 rows
The answer is C
1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630
2. Balance after 1 year with compounded interest = P ( 1 + 
= 600 ( 1 + 
= 600 (1.0511) = $630.66 = approx. $630
Good night,
<span>Irrational numbers
are those that can't be expressed as a fraction:
12.89 can be expressed as: </span>
<span>The above numbers
can be expressed as a fraction, then the logical answer is: </span>
But we will check the answer:
As you can see we can't express that number as a fraction, so that is te correct answer.
Answer:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
Step-by-step explanation:
