The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
Answer:
All real solutions
Step-by-step explanation:
- The given graph is a maximum quadratic function.
- The solution to the graph is where the graph intersects the x-axis.
- We can see from the graph that, the function intersected the x-axis at two different points, hence its discriminant is greater than zero.
- Hence the solution of g(x) are two distinct real solutions.
- The solutions are not whole numbers because the x-intercepts are not exact.
- The solutions are also not all points that lie on g(x)
- The first choice is correct.
Answer:
Step-by-step explanation:
We are given an expression and we have to transform it into an expression with exponent.
5th root of x can be written as 
![(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E7%7D%29%5E3%5C%5C%5C%5C%28%28x%5E7%29%5E%5Cfrac%7B1%7D%7B5%7D%20%29%5E3)
The powers outside will be multiplied as: 
where the exponent is 
and it is a rational number by definition of rational numbers
1: 40 2: 78 3: 48 4: 26 5: 15 6: 70
Answer:
102 feet.
Step-by-step explanation:
-23ft + 125ft = 102 ft
