15x + 2 = 45x + 4
Subtract 2 from both sides, as well as subtracting 45x from both sides.
15x - 45x = 4 - 2
-30x = 2
Divide both sides by -30.
x = 2/-30
x = - 1/15
~Hope I helped!~
The slope formula is the changes of two y-values over/to the changes of two x-values.

Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.

Answer
Hope this helps and let me know if you have any doubts!
When you see a "%" you need to ask " a percent of what"?
Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.
20% is also 20/100 or 1/5, so we can calculate this like this:

so the discount is 7 dollars.
Answer:

Step-by-step explanation:
Remember:
![(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da%5C%5C%5C%5C%28a%2Bb%29%3Da%5E2%2B2ab%2Bb%5E2)
Given the equation
, you need to solve for the variable "x" to find its value.
You need to square both sides of the equation:


Simplifying, you get:

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

Then:

Let's check if the first solution is correct:

(It checks)
Let's check if the second solution is correct:

(It does not checks)
Therefore, the solution is:

Answer:
Inscribed angle theorem
Step-by-step explanation:
This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°, because segment LN is the diameter of the circle. Then, by the theorem:
∠LMN = (1/2)*arc LN = (1/2)*180° = 90°