Answer:
See below
Step-by-step explanation:
1. Given
2. Given
3. Definition of supplementary angles (add up to 180)
4. Substitution Property (substitute 112 in for angle 1)
5. Subtraction Property (subtract 112 from both sides)
Answer:
x + 4 < 8
- 4 -4
x < 4
Step-by-step explanation:
So, Basically anything less than 4 is a solution for this equation.
Answer:
The given points are

The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.
The given maxium horizontal coordinate is 0.
The given minimum horizontal coordinate is -13.
The given maximum vertical coordinate is 3.
The given minimum vertical coordinate is -7.
Now, we extend each maximum and minimum value by 2 units to create the setting.
So, the setting is

With a scale of 2 units.
Answer:
Step-by-step explanation:
1) Step 4: Marc has converted radical form to exponent form
Step 5: He has evaluated the value of the radical
3)
![x = \sqrt[3]{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8%7D)
Here, 3 is index and 8 is radicand.
Prime factorize 8 and for every 3 numbers we can take one number outside the radical
Solution:
![x = \sqrt[3]{2*2*2}\\\\x = 2](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B2%2A2%2A2%7D%5C%5C%5C%5Cx%20%3D%202)
4) No,my equation does not have an extraneous solution.
My solution, satisfies the equation
Answer:

Step-by-step explanation:
We want to simplify:

This is the same as:

Now let us convert the mixed numbers to improper fractions.

We multiply by the reciprocal of the second fraction to get:

Cancel out the common factors to obtain:
