If we have a triangle with sides a and b and an included angle of C, then the area of the triangle would be:
A = (1/2) ab sin C
If angle C is bisected into two each angles each measuring x, then the area can be expressed as:
A = (1/2) ab sin 2x
Using the trigonometric identity for sin 2x = 2 sin x cos x, the area would now be:
A = ab sin x cos x
Since the line segment s divides the angle into two, it also divides the triangle into two. Another equation for the area is:
A = (1/2) as sin x + (1/2) bs sin x
Equating the two equations gives us:
ab cos x = (1/2) as + (1/2) bs
Solving for s
s = 2 ab cos x / (a + b)
Answer:
Step-by-step explanation:
A) for this we want to solve for x
we first have to ditribute 2 to 9x-6 and 6 to 3x-2
18x - 12 = 18x -12 + 2 --> 18x - 12 = 18x - 10
add ten to both sides 18x -12 (+10) = 18x
18x - 2 = 18x since you can solve it theirs no solution
B) you combind like terms --> 4x + 8 = 4x + 8
since their the same on both sides that means they have infinante solutions
Answer:
a=39/7 or 5.57
Step-by-step explanation:
7a=39
Divide both sides by 7
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2