Which statement is true regarding the functions of the graph?
1 answer:
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Answer:
Step-by-step explanation:
The first step to do is make a single triangle from the problem. That triangle can be BDH. We do still need the line BE, although that can wait.
Now find the last angle of the triangle. The sum of angles of a triangle always equal 180, so we can easuly find the missing angle.
So the missing angle is 109°. Now we can find the value of x.
We can use that angle because it sits right next to x on the same line. A line is 180° at any node as long as the line continues straight, so we simply subtract the angle we just found to find x.
Now we know x is 71
In order to find the sides of a right triangle, you can use the pythagorean theorem. (a^2 + b^2 = c^2)
The pythagorean theorem basically means that the square of two sides is equal to the square of the hypotenuse (the longest side of a triangle)
In this case, we already have 'a' and 'c', but not 'b'.
12^2 + b^2 = 19^2
Mutliply everything:
144 + b^2 = 361
Isolate b into one side by subtracting both sides by 144:
b^2 = 217
Square root both sides in order to completely isolate b:
b =
The answer is Option F
Good luck!