Answer:
x = 35
Step-by-step explanation:
Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.
4x + 20 = 3x + 55
Have x on one side of the equation by subtracting 3x from both sides.
x + 20 = 55
Subtract 20 from both sides of the equation.
x = 35
Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:

In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence
, and this is used to find k.







Hence:

The time it takes for 80% of the material to decay it t for which
, hence:






It takes 18.6 days for 80% of the material to decay.
To learn more about exponential functions, you can take a look at brainly.com/question/24906920
HP = JP (since the opposite sides of an isosceles triangle are equal)
3x - 6 = x + 2
2x = 8
x = 4
Thus, HP = 3(4) - 6 = 12 - 6 = 6
JP = 4 + 2 = 6
JH = 2(4) = 8.
A triangle undergoes a sequence of transformations.
First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units.
1.53 hours if she drove 40 mph it would be 1 hour