tanX is 12/5.
Given:
In a right triangle,
The length of the side <em>XY</em> = 13.
The length of the side <em>YZ</em> = 12.
The length of the side <em>XZ</em>= 5.
The objective is to find tan <em>X</em>.
In a right angled triangle the largest side is always hypotenuse.
Sinec tan <em>X</em> is required to solve, then, the side <em>YZ </em>is opposite side and the side <em>XZ</em> is adjacent side.
By the trigonometric ratios, the value of tan <em>X</em> can be calculated as,
Hence, the value of tanX is 12/5.
7=x this is for the first one but you have to 1
3
=
2
1
1
3
=
x
21
31=21x
2
1
⋅
1
3
=
2
1
⋅
2
1
21
⋅
1
3
=
21
⋅
x
21
21⋅31=21⋅21x
Multiply the numbers
Cancel multiplied terms that are in the denominator
7
=
2
1
⋅
2
1
7
=
21
⋅
x
21
7=21⋅21x
7
=
7
=
x
7=x
7
=
7
=
x
7=x
Answer:
B-91%
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: arriving home after 7 p.m.
Event B: getting home by bus.
When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.
This means that 
Because the bus is cheaper, he uses the bus 70 percent of the time.
This means that 
Probability of getting home after 7 p.m.
70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.
100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.
So
What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?
Rouding up, 91%.
So the correct answer is:
B-91%
Answer:
adjacent
Step-by-step explanation:
they are next to and adjoining eachother
