Answer:
Item 5 is a valid definition because based on the vertical angle theorem vertical angles have equal measure. More precisely, they are congruent. When lines intersect they are only considered to be vertical if they make congruent angles.
Step-by-step explanation:
Answer:
36.7 ft
Step-by-step explanation:
Measurements for the sides of the canal is given as: 40 ft. and 16 ft.
You solve the above question using Pythagoras Theorem
The distance across the canal is calculated as:
√(40² - 16²)
= √(1344)
= 36.66060556 ft
Approximately = 36.7 ft
Therefore, the distance x across the canal = 36.7 ft
Answer:
1553/1250 its already in its simplified form
We are asked to solve the equation 2x³ - 32x = 0. First off, we can see that the variable x appears in both terms on the left-hand side of the equation. Therefore, we can factor it out. We can also factor out a common factor of 2 from both terms.
2x³ - 32x = 0
2x(x² - 16) = 0
We can use the difference of squares pattern to further simplify the equation.
2x(x + 4)(x - 4) = 0
Now, using the Zero Product Property, set each term to zero.
2x = 0
x = 0
x + 4 = 0
x = -4
x - 4 = 0
x = 4
Therefore, the solutions to the equation 2x³ - 32x are 0, -4, and 4. Hope this helped and have a great day!
A because the line goes through the x axis on -5
