Answer:
The ordered pair
make both inequalities true
Step-by-step explanation:
we have
------> inequality A
------> inequality B
we know that
If a ordered pair satisfy both inequalities
then
the ordered pair is a solution of both inequalities
we're going to verify every case
<u>case A)</u> point ![(1,0)](https://tex.z-dn.net/?f=%281%2C0%29)
Substitute the values of x and y in both inequalities
![x=1, y=0](https://tex.z-dn.net/?f=x%3D1%2C%20y%3D0)
<u>Inequality A</u>
![y](https://tex.z-dn.net/?f=y%20%3C-3x%2B3)
![0](https://tex.z-dn.net/?f=0%20%3C-3%2A1%2B3)
------> is not true
therefore
The ordered pair
does not make both inequalities true
It's not necessary to verify the B inequality
<u>case B)</u> point ![(-1,1)](https://tex.z-dn.net/?f=%28-1%2C1%29)
Substitute the values of x and y in both inequalities
![x=-1, y=1](https://tex.z-dn.net/?f=x%3D-1%2C%20y%3D1)
<u>Inequality A</u>
![y](https://tex.z-dn.net/?f=y%20%3C-3x%2B3)
![1](https://tex.z-dn.net/?f=1%20%3C-3%2A%28-1%29%2B3)
------> is true
<u>Inequality B</u>
------> is true
therefore
The ordered pair
make both inequalities true
<u>case C)</u> point ![(2,2)](https://tex.z-dn.net/?f=%282%2C2%29)
Substitute the values of x and y in both inequalities
![x=2, y=2](https://tex.z-dn.net/?f=x%3D2%2C%20y%3D2)
<u>Inequality A</u>
![y](https://tex.z-dn.net/?f=y%20%3C-3x%2B3)
![2](https://tex.z-dn.net/?f=2%20%3C-3%2A%282%29%2B3)
------> is not true
therefore
The ordered pair
does not make both inequalities true
It's not necessary to verify the B inequality
<u>case D)</u> point ![(0,3)](https://tex.z-dn.net/?f=%280%2C3%29)
Substitute the values of x and y in both inequalities
![x=0, y=3](https://tex.z-dn.net/?f=x%3D0%2C%20y%3D3)
<u>Inequality A</u>
![y](https://tex.z-dn.net/?f=y%20%3C-3x%2B3)
![3](https://tex.z-dn.net/?f=3%20%3C-3%2A%280%29%2B3)
------> is not true
therefore
The ordered pair
does not make both inequalities true
It's not necessary to verify the B inequality
Answer:
All of the following solid figures except a <u>square</u><u> </u><u>pyramid</u> have two bases.
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60