Answer:
m<6=77°
Step-by-step explanation:
Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that
3x+5°+4x+7°=180°
7x+12°=180°
7x=168°
x=24°
Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:
<6=24*3+5
<6=77°
Answer:
0.7 + 0.4 - 0.2 = 0.9
Step-by-step explanation:
Let's denote the probabilities as following:
The probability that the show had animals is
P(A) = 0.7
The probability that the show aired more than 10 times is
P(B) = 0.4
The probability that the show had animals and aired more than 10 times is
P(A⋂B) = 0.2
The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)
The correct form of addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:
P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9
=> Option B is correct
Hope this helps!
What do you mean
Could you please insert an equation or a problem
Answer:
20x + 18
Step-by-step explanation:
We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.
In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:
7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14
In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:
4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32
Now, we have:
28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18
The answer is 20x + 18.
14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2
