Because it is a quadrilateral, all 4 angles have to add up to 360 degrees.
Add the 3 known angle measures.
80+95+38=213
Then subtract from 360.
360-213=147
X=147 degrees
Answer:
180 cm^2
Step-by-step explanation:
Remark
If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.
Note
The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 = 15. The length is already known as 15. So this square is 15 by 15 = 225
The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3
Answer
The answer to the square on the upper left that was removed = 6*6 = 36
The answer to the triangle on the lower right is 1/2 * 6 * 3 = 9
The total of the removed figues is 36 + 9 = 45
The area of the figure with both figures removed is 225 - 45 = 180 cm^2
2x + 6y = 5
x + 3y = 2 .....multiply by -2
-----------------
2x + 6y = 5
-2x - 6y = - 4 ...(result of multiplying by -2)
----------------add
0 = 1 (incorrect).......no solutions because the lines are parallel.
little tip :
if ur system of equations comes out where it is not equal....like 4 = 5, or 6 = 7...then there is no solutions.
if ur system of equations comes out where it is equal...like 5 = 5 or 8 = 8, then there is infinite solutions
if ur system of equations comes out where a variable = a number....like x = 2 or y = 5.....then there is one solution
Answer:
At 1:25 P.M.
Step-by-step explanation:
Thomas arrived at the library at 11:45 AM and he left 1 hour 40 minutes later.
So, 1 hour 40 minutes is equivalent to (60 + 40) = 100 minutes.
Now, after 15 minutes, the time will be 12 P.M.
So, remaining (100 - 15) = 85 minutes i.e. 1 hour and 25 minutes the time will be 1:25 P.M.
Therefore, Thomas leaves the library at 1:25 P.M. (Answer)