Answer:
x = 40
Step-by-step explanation:
Sum of interior angle of an n-polygon = (n - 2)*180
The polygon given is pentagon with 5 sides.
Sum of the polygon = (5 - 2)*180 = 540°
Therefore, sum of all its interior angles would be:
5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°
Solve for x
5x + 150 + 3x - 30 + 70 + 2x - 50 = 540
Collect like terms
5x + 3x + 2x + 150 - 30 + 70 - 59 = 540
10x + 140 = 540
10x = 540 - 140 (Subtraction property of equality)
10x = 400
x = 400/10 (division property of equality)
x = 40
Step-by-step explanation: Standard form is when we take a polynomial and we write it in order from the greatest degree to the smallest degree.
Let's look at an example which I provided in the image attached.
In this polynomial, I have 2 degrees, 1 degree, and 1 degree above the <em>x</em>.
This is not in the form of least to greatest so I need to write it in descending order. Our constant which in this is 27 will be last in polynomial.
So, you look at the degree of each term and then write each in term in order of degree from greatest to least (descending order).
We have to rewrite the expression so that it has no denominator.
For example:
1 / x = x^(-1)
1/8 = 8^(-1); 1/x^(4) = x^(-4); 1/y^(3) = y^(-3); 1/z = z^(-1).
Answer: 8 vertices
Step-by-step explanation: A cube has 6 square faces. Each segment formed by the intersection of 2 faces is called an edge so a cube has 12 edges. Each point formed by the intersection of 3 edges is called a vertex so a cube has 8 vertices.
Step-by-step explanation:
