Answer:
line one should have a y-intercept at (0,2).
Step-by-step explanation:
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
Answer:
Step-by-step explanation:
point p is on line r
line r passes through point P
line r contains point P
Because the actual dimensions of the board and the target are missing, let us supply the missing values.
Let:
radius of board = 6 inches
radius of target = 2 inches
Area of board = pi * r^2 = pi*6^2 = 36pi
Area of target = pi * r^2 = pi*2^2 = 4pi
Probability of hitting the target = 4pi / 36pi = 1/9
Therefore, there is a 1/9 chance of hitting the target on the board.
