Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
I believe the volume is 0.15 since i multiplied, i hope this helped
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 number being divided by a number would be the same as a number multiplied by the reciprocal of the other number.
Reciprocal: the “flip” of a fraction (ex. the reciprocal of 6/7 is 7/6)
Example:
5/6 / 1/6
= 5/6*6/1
=30/6
=5
We can apply the same to the question 1/5 / 3.
1/5 / 3
=1/5*1/3
=1/15
I hope this helps! Please comment if you have any questions.
