Answer:
![8\ units< x < 18\ units](https://tex.z-dn.net/?f=8%5C%20units%3C%20x%20%3C%2018%5C%20units)
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Theorem
case 1) ![42+4x > 2x-6](https://tex.z-dn.net/?f=42%2B4x%20%3E%202x-6)
![4x-2x > -6-42](https://tex.z-dn.net/?f=4x-2x%20%3E%20-6-42)
![2x > -48](https://tex.z-dn.net/?f=2x%20%3E%20-48)
![x > -24\ units](https://tex.z-dn.net/?f=x%20%3E%20-24%5C%20units)
case 2) ![42+(2x-6) >4x](https://tex.z-dn.net/?f=42%2B%282x-6%29%20%3E4x)
![42-6 >4x-2x](https://tex.z-dn.net/?f=42-6%20%3E4x-2x)
![36 >2x](https://tex.z-dn.net/?f=36%20%3E2x)
-----> rewrite
case 3) ![4x+(2x-6) > 42](https://tex.z-dn.net/?f=4x%2B%282x-6%29%20%3E%2042)
![4x+2x > 42+6](https://tex.z-dn.net/?f=4x%2B2x%20%3E%2042%2B6)
![6x > 48](https://tex.z-dn.net/?f=6x%20%3E%2048)
![x > 8\ units](https://tex.z-dn.net/?f=x%20%3E%208%5C%20units)
therefore
![8\ units< x < 18\ units](https://tex.z-dn.net/?f=8%5C%20units%3C%20x%20%3C%2018%5C%20units)
Answer:
1st
Step-by-step explanation: i think
Answer:
y=1.5 that what i got okay
Answer:
We have been given the equation:
![y=-5x+30](https://tex.z-dn.net/?f=y%3D-5x%2B30)
And x=10
Substitute the given x in the given equation we get:
![y=-5(10)+30](https://tex.z-dn.net/?f=y%3D-5%2810%29%2B30)
![y=-50+30](https://tex.z-dn.net/?f=y%3D-50%2B30)
On simplification we get:
![y=-20](https://tex.z-dn.net/?f=y%3D-20)
Required solution is: x= 10 and y=-20
The solution to the system of equation is those points that satisfy the given system of equations.
Answer:
Perimetro = 4 cm + 7 cm + 12 cm
= 23 cm
Step-by-step explanation: