Answer:
x = 40
Step-by-step explanation:
Since FG and HI are parallel and BC is a transversal, then
∠ GBE and ∠ GBE are same side interior angles and are supplementary, thus
3x + 20 + x = 180, that is
4x + 20 = 180 ( subtract 20 from both sides )
4x = 160 ( divide both sides by 4 )
x = 40
Answer:
I have learned a lot in math, although it was years ago on of my favorite things to learn was to multiply and divide. They were not only easy but also fun.
Step-by-step explanation:
Answer:

Step-by-step explanation:
In other words, carl's losing odds are 7 : 5, so his winning odds will be 5 : 7
So if they play (7+5=12) 12 times, carl will win 5 times.
To find probability that carl will beat his friend, we take the probability of Carl winning. Simple!
The probability is 5/ 12
Answer:
24/25
20/29
Step-by-step explanation:
Trigonometry ratios:

where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)
As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.
Referring to the attached diagram:
sin(A) = O/H = a/b
cos(C) = A/H = a/b
Therefore, sin(A) ≡ cos(C)
If sin(A) = 24/25 , the value of cos(C) = 24/25
If cos(A) = 20/29, the value of sin(C) = 20/29
You have a 1/1000 chance of getting the code correct