Answer: 2, 6
<u>Step-by-step explanation:</u>
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
<em> Note: -6 is invalid because you cannot have a negative length. </em>
<h2>
Answer:</h2>
The area of the remaining board in square feet is:
108 square feet.
<h2>
Step-by-step explanation:</h2>
The remaining area of board=
Area of the whole board-Area of square which is removed.
i.e.
Area of remaining board= Area of square of side length 12 feet-Area of square with side length 6 feet.
We know that the area of square with side length s units is given by: s² square units
Hence, we get:
Area of remaining board= (12)²-(6)²
i.e.
Area of remaining board= 144-36
i.e.
Area of remaining board= 108 square feet.
Step-by-step explanation:
- 7x + 3x - 18 = 6(x + 3) === Given
- 10x - 18 = 6(x + 3) === Combine Like Terms === 7x + 3
- 10x - 18 = 6x + 18 === Distributive Property === 6(x + 3)
- 10x - 18 - 6x = 18 === Subtraction Property of Equality === -6x both sides
- 4x - 18 = 18 === Combine Like Terms === 10x - 6x
- 4x = 18 + 18 === Addition Property of Equality === +18 both sides
- 4x = 36 === Combine Like terms === 18 + 18
- x = 36 / 4 === Division Property of Equality === /4 both sides
- x = 9 === combine like terms??
That doesn't use the multiplication property but that's all of the rest of them.
Supplementary angles sum to 180 degrees.
So if one angle is 20 degree more than the other...
x+(x+20)=180
2x+20=180
2x=160
x=80
x+20=100
answer: 80° and 100°
