Answer:
∠ 2 = 75° , ∠ 1 = 105°
Step-by-step explanation:
∠ 2 and 75° are alternate angles and are congruent , then
∠ 2 = 75°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180°
∠ 1 + 75° = 180° ( subtract 75° from both sides )
∠ 1 = 105°
Answer:
<u><em>−125a^(11)</em></u>
Step-by-step explanation:
<u><em>(−5a^(2)3a^(5) Then you solve</em></u>
<u><em>=−125a^(11)</em></u>
To solve y, we need to make y the only value on the left hand side of the equation:
![3x - 3x - y = 14 \\ 3x - 3x - y = 14 - 3x \\ - y = 14 - 3x \\ y = - (14 - 3x) \\ y = - 14 + 3x](https://tex.z-dn.net/?f=3x%20-%203x%20-%20y%20%3D%2014%20%5C%5C%20%203x%20-%203x%20-%20y%20%3D%2014%20-%203x%20%5C%5C%20%20-%20y%20%3D%2014%20-%203x%20%5C%5C%20y%20%3D%20%20-%20%2814%20-%203x%29%20%5C%5C%20y%20%3D%20%20-%2014%20%2B%203x)
Therefore the value of y = -14+3x.
Hope it helps!
Answer:
Option C ![3n^{2}+n-2](https://tex.z-dn.net/?f=3n%5E%7B2%7D%2Bn-2)
Step-by-step explanation:
<u><em>Verify each expression</em></u>
case A) we have
![5n^{2}+6n-1](https://tex.z-dn.net/?f=5n%5E%7B2%7D%2B6n-1)
In this expression the term of n is 6n
so
has a coefficient of positive 6
case B) we have
![2n^{2}-5n+1](https://tex.z-dn.net/?f=2n%5E%7B2%7D-5n%2B1)
In this expression the term of n is -5n
so
has a coefficient of negative 5
case C) we have
![3n^{2}+n-2](https://tex.z-dn.net/?f=3n%5E%7B2%7D%2Bn-2)
In this expression the term of n is n
so
has a coefficient of positive 1
case D) we have
![4n^{2}-n+9](https://tex.z-dn.net/?f=4n%5E%7B2%7D-n%2B9)
In this expression the term of n is -n
so
has a coefficient of negative 1
This equation has no solution.
Reason:
The absolute valued function, which is represented by straight bars, returns only positive values.
For example | - 5 | = 5
A negative result cannot be obtained from an absolute valued function. Since the given equation makes the absolute valued function equal to a negative value, which is not possible, so the equation has no solution or root.