Integers are closed under addition, subtraction, and multiplication.Integers are not closed under division, For example, 1 divided by 3 is not an integer.
Answer: PTR = 80°
PTQ= 45° PTS= 128°?
Step-by-step explanation:
See angles <ptr <ptq <pts ar based off of the number of degrees on the protractor
250, 45, and 30 have a common factor of 5 because that's the only number besides 1 that all three number are divisible by. 375, 66, and 33 are all divisible by 3 so the common factor of these numbers is 3. finally, 76, 21, and 14 have no common factors other than 1; but 76 and 14 are divisible by 2, while 21 is divisible by 3, and 21 and 14 are divisible by 7.
Hope this helps!
So, to begin, we can set the scenario into an equation to solve for the amount of magnets that Sarah had...
Joseph had 28 magnets, plus an unknown amount, <em>x</em> :
28 + x
Sarah had 157, plus the same unknown amount.
157 + x
Also, Sarah had <u>four</u> times the amount of Joseph at the end:
4(28 + x)
As a full equation:

Now, all we have to do is solve for <em>x</em>, the unknown amount:

Use the Distributive Property on <em>4(28 + x)</em>:

Subtract <em>x</em> on both sides:


Subtract <em>112</em> on both sides:


Divide by <em>3</em> on both sides:

<em>15</em> is the unknown amount added to each pile of magnets!
Hope I could help you out!
Have a good one, and God bless!