Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
Steps
38 + 7k = 8k + 32
38 + 7k - 38 = 8k + 32 - 38
7k = 8k - 6
7k - 8k = 8k - 6 - 8k
-k = -6
-k/-1 = -6/-1
k = 6
Answer
k = 6
ANSWER
EXPLANATION
The general term of the arithmetic sequence is
For the first term,we substitute
to get,
Similarly
The sum of the first n-terms is given by the formula,
where l is the last term.
In this case
We substitute these values to get,
We could have also used the formula,
Answer:
The speed of sound is the speed at which the mechanical waves of sound travel, this speed is 343.2 m/s in our atmosphere.
In the other hand, the speed of light is the speed at which the electromagnetic waves (like photons of light, radio waves, etc) move.
This velocity is equal to c = 299,792,458 m/s in a vacuum, and in our atmosphere is almost the same number.
One interesting thing about this velocity is that is a constant, the speed of the light is the same in every system (this means that you will measure the same light speed if you are in the Earth or in a spaceship that travels at 10000m/s)
Now, you can see that the speed of light is a lot bigger than the speed of sound. This means that when there is thunder, the light produced reaches faster to you than the produced sound (because the light moves faster)
Answer:
B. 136 °
Step-by-step explanation:
<u>Given: m and n intersect to form a 44° degree angle</u>
⇒ (180 - 44)°
⇒ 136 °
Answer: B. 136 degrees
