Answer:
A) mPQ = 71º
B) mSR = 161º
C) mQRT = 199ª
D) mPSR = 270º
E) mPS = 109º
Step-by-step explanation:
We know that mST is 19º and QR is also 19º because they're opposite angles. We also know that angle PUR is 90º.
If we subtract 19º from 90º we get 71º for mPQ.
We also know that TR is a 180º angle. Using this if we take 19º from 180º we're left with 161º for mSR.
Using the 180º from angle TR, as well as the 19º from mQR we know that mQRT has to be 199º.
A circle is 360º and a right angle is 90º. That means that mPSR is 270º.
Knowing that TR is 180º and that PR is 90º, PTº must be supplementary making it also 90º. Adding the 19º from ST to the 90º from TP we know that PS is 109º
Work backwards. If there were 14 at the end, then multiply this by 3/2 because 2/3 of the marbles were given to Sam. so 14 times 3/2 is 21. There were 28 total because if you add 1/3 to 1/6 you get 1/2. So they they lost 1/2 of the marbles and got 1/4 of the original amount back, which was 21.
So the original number was 28. Hope this helps!
Answer:
hi
Step-by-step explanation:
i dot no because i dot spak in english because im frach
Answer: x = - 111
Step-by-step explanation:
- Add the like terms on the right side of the equation. 45 + 85 = 130. 130 - 180 = - 50. The equation simplifies to x + 61 = - 50
- Subtract 61 on both sides. x = - 111
The domain is all of the x values which are the first number in each set of parentheses and the range is all of the y values therefore domain = {2, 1, 5, 3} and range= {2, -7, 3, 0}
