Using angle bisector theroem, we have:

Solving for x, we get x=
or x=3.75
Answer:
6
Step-by-step explanation:
B reflected across the x-axis would be (-3, 1), so C is (-3, 1)
the distance between B and C is 6
Let me know if this helped
Answer:
1/36
Step-by-step explanation:
This is a simple use of the multiplication rule of probability, which is:
"<em>The probability that Events A and B both occur is equal to the probability that Event A occurs times the probability that Event B occurs, given that A has occurred</em>"
Using this rule, we square 1/6 to get 1/36. In other forms:
Decimal:0.02777777777(Round to whatever decimal place you need)
Percentage: 2.778%(I don't see you needing any more places)
Hope my answer helped you!
Answer:
(2, - 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 4y = 2 → (1)
x + 2y = - 2 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 2 - 2y → (3)
Substitute x = - 2 - 2y into (1)
- 3(- 2 - 2y) - 4y = 2 ← distribute parenthesis and simplify left side
6 + 6y - 4y = 2
2y + 6 = 2 ( subtract 6 from both sides )
2y = - 4 ( divide both sides by 2 )
y = - 2
Substitute y = - 2 into (3) for corresponding value of x
x = - 2 - 2(- 2) = - 2 + 4 = 2
solution is (2, - 2 )
V = 1/2B*H*L
V = 12*35*40/2
V= 16,800/2
V= 8,400

The volume of the right prism is B) 8,400