Answer:
65º
Step-by-step explanation:
- The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
- The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
- We can solve from there, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 230, -2x=-50
- Divide by -2, x=25
- m∠CAB=(x+40)º=(25+40)º=65º
- m∠ABC=(180-6x)º=(180-150)º=30º
- m∠BCA=(3x+10)º=(75+10)º=85º
Answer:
The answer is "3".
Step-by-step explanation:
If the compression factor of 3 is modified, the k value is 3 For a function f(x) the horizontal extending or compression is provided by g = f (bx)
Here b is constant. Where b is constant.
If b> 0, the function graph is condensed. The fact that perhaps the function is transformed by an encoding factor of 3 is given in the question.

(z + 6) / 3 = 2z / 4
this is a proportion, so we cross multiply
(3)(2z) = 4(z + 6)
6z = 4z + 24
6z - 4z = 24
2z = 24
z = 24/2
z = 12 <==
Total number of times she flipped a coin =200.
Total number of heads in the experiment=92
Total number of tails in the experiment=108
Therefore probability of the coun landing heads up in this experiment is 0.5
In the above experiment, the probability of the coin landing heads up is
P(H)= 92/200 = 0.46
In the above experiment, the probability of the coin landing tails up is P(T) = 108/200 = 0.54
The ratio obj represent the experimental probability of the coin landing heads up in this experiment
Therefore the correct option is 1.