A conjecture is a statement that you believe to be true, and that has be verified by your observations, not necessarily exhaustively. That is to say, your conjecture may not even be true, although you believe that it is.
If we denote by S the sum of the first 30 positive even numbers, we could make many conjectures, such as:
S is even
S is positive,
S=930
S is composite
.... etc.
X = -2 and x = -8.
You can get this by factoring the polynomial and solving for x or by using the quadratic formula.
Answer:
x=29
Step-by-step explanation:
The overpass and the two lanes form two angles: 4x and 2x+6.
If the lanes are parallel, then the two angles are same side interior angles. Therefore, they must add to 180 degrees.
Let’s add the two angles and set them equal to 180.
4x + (2x+6)= 180
First, combine like terms. 4x and 2x are both terms with a variable, so they can be combined.
(4x+2x) +6=180
6x+6=180
Now, solve for x by isolating it.
6 is being added to 6x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
6x+6-6=180-6
6x=180-6
6x=172
x is being multiplied by 6. The inverse of multiplication is division. Divide both sides of the equation by 6.
6x/6=172/6
x=172/6
x=29
When x=29, the same side interior angles are supplementary and the lanes are parallel.
Answer:
A ≈ 5.1 units²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = 
× 2 sides × sin (angle between them ) , then
A = 0.5 × 7 × 3 × sin29° ≈ 5.1 units²
