Answer:
83 degrees
Step-by-step explanation:
The angles 56 and 41 plus the one in between should add up to 180 degrees. So you do 180 - 56 - 41 = 83.
83 and x are vertical angles so they are the same measure.
<x = 83 degrees
hope this helps! :)
Answer:
×
= 
Step-by-step explanation:
× 
To solve the above, we need to follow the steps below;
4k+2 can be factorize, so that;
4k +2 = 2 (2k + 1)
k² - 4 can also be be expanded, so that;
k² - 4 = (k-2)(k+2)
Lets replace 4k +2 by 2 (2k + 1)
and
k² - 4 by (k-2)(k+2) in the expression given
× 
× 
(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,
So our expression becomes;

Therefore,
×
= 
Answer: <em>1=60°</em>
Step-by-step explanation:
<em>First, let's take our given angle of 30°</em>
<em>30° is in a right triangle, so the angles must be 90°, 60°, and 30°</em>
<em>Now the angle that is 45° makes angle 1 congruent to angle 60°</em>
<em>Meaning angle 1 is </em><em>60°</em>
Answer:
-350/9 (improper fraction)
-38 8/9 (mixed number)
Step-by-step explanation:
Converting to improper fractions :
- 3 5/3
- 3 x 3/3 + 5/3
- 9/3 + 5/3
- <u>14/3</u>
2. -8 1/3
- -(8 x 3/3 + 1/3)
- -(24/3 + 1/3)
- <u>-25/3</u>
Multiplying them :
- 14/3 x -25/3
- -350/9 (improper fraction)
- -38 8/9 (mixed number)