Answer:
circle
Step-by-step explanation:
circle
For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
(4x - 3)(2x - 1) ≥ 0
4x - 3 ≥ 0 or 2x - 1 ≤ 0
+ 3 + 3 + 1 + 1
4x ≥ 3 2x ≤ 1
4 4 2 2
x ≥ ³/₄ x ≤ ¹/₂
x ∈ [-∞, ¹/₂] ∧ [³/₄, ∞]
The answer is C.
Answer:
The answer is C, 0.25.
Step-by-step explanation:
In order to find the probability of (B | A), you need to use this formula:
Conditional Probability (A has already occured)
P(B | A) = P(A and B)
-------
P(A)
If you subsitute in the values you get this:
P(B | A) = 0.10
------
0.40
0.1 divided by 0.4 is equal to 0.25.