Answer:
Angle 1 is 112°, 2 is 68°, 3 is 90°, 4 is also 90°, 5 is 22° and angle 6 is 158°
Step-by-step explanation:
To find angles 3 &4 and 2 &1, you subtract the measurement given in each intersection from 180 (all straight lines are 180) to find the other angle measurements. To find 5 I used the 4th angle and the 2nd angle to find the missing number out of 180 since all of the angles in a triangle have a sum of 180°. The missing angle was 22. You can use the angle measurement of #5 to find 6 like how I mentioned before about all straight lines equaling 180°. If this all sounds like mumbo-jumbo I can elaborate a little more in the comment section!
Answer:
0 = 6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(m−1)=5m+3−2m
(3)(m)+(3)(−1)=5m+3+−2m (Distribute)
3m+−3=5m+3+−2m
3m−3=(5m+−2m)+(3) (Combine Like Terms)
3m−3=3m+3
3m−3=3m+3
Step 2: Subtract 3m from both sides.
3m−3−3m=3m+3−3m
−3=3
Step 3: Add 3 to both sides.
−3+3=3+3
0=6
Answer: 54
Step-by-step explanation:
Answer:
80 pages
Step-by-step explanation:
Given:
Number of pages printed = 5493
Number of booklets made = 68
Let each booklet use 'x' pages.
So, pages used by 68 booklets is given by unitary method and is equal to:

Now, total number of pages are 5493.
Therefore, the pages used by the 68 booklets should be less than or equal to the total number of pages available. So,

Therefore, the number of pages in each booklet is 80.
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees
Hope this helps! :)