Answer:
See below ↓↓
Step-by-step explanation:
<u>Finding x</u>
- Both the angles containing the x variable are on the same side of the transversal
- There is a property which states that : two angles on the same side of the transversal are supplementary
- Therefore, they add up to 180°
- ⇒ 8x + 12 + 2x + 18 = 180
- ⇒ 10x + 30 = 180
- ⇒ 10x = 150
- ⇒ <u>x = 15</u>
<u></u>
<u>Finding y</u>
- The angles at the top are vertically opposite angles (VOA), meaning that they are equal
- ⇒ 8x + 12 = 3y - 18
- ⇒ 3y = 8(15) + 12 + 18
- ⇒ 3y = 120 + 30
- ⇒ 3y = 150
- <u>⇒ y = 50</u>
The equation for volume of a sphere is (4/3)(pi)(r)^3. So you would plug in he radius 9 into the equation. It would simplify to equal (4/3)(pi)(729). It simplifies further to equal (972)(pi)
The answer is radical 26. Since the triangle is right (given) you can use Pythagorean’s theorem (a^2+b^2=c^2) so in this case: c^2= 1+25=26 and you square root both sides to get rid of the ^2 and you get radical 26.
The answer is -2 because it is in the middle of -8 and 4.
Answer:
Part 1: 30.35 runners
Part 2: 2024
Step-by-step explanation:
We will need to find an equation that best fits this data
- The equation of best fit for this data is y = 2.16x - 4291.81
Now in order to figure our part 1, we will need to plug in 2001 for our x value to solve for y and we get:
- y = 2.16(2001) - 4291.81 which then simplifies to y = 30.35
Then to figure out part 2, we need to plug in 80 (NOT 80,000 because the y-values are in thousands, meaning we only need to use the number 80) for our y-value and solve for x and we get:
- 80 = 2.16x - 4291.81
- Adding 4291.81 to both sides we get: 4371.81 = 2.16x
- Then dividing both side by 2.16 we get 2023.98 = x ≈2024