Answer: AD = 108
BD = 105
ADB = 213
ABC = 182
<u>Step-by-step explanation:</u>
If no radius is given, assume it is length 1.
Then, the length of the arc is equal to the central angle.
Reminder that a circle is 360°
The central angle = 108°, so the arc length = 108
BD = BC + CD
= 35° + 70°
= 105°
The central angle = 105°, so the arc length = 105
ADB = AD + CD + BC
= 108° + 70° + 35°
= 213°
The central angle = 213°, so the arc length = 213
First, find the angle of AB.
AB = 360° - ADB
= 360° - 213°
= 147°
ABC = AB + BC
= 147° + 35°
= 182°
The central angle = 182°, so the arc length = 182
Answer Ex: A a
2 = b
2 + c
2 B b
2 = a
2 + c
2 C c
2 = a
2 + b
2
Step-by-step explanation: This may not come out right
Answer:
nknm
Step-by-step explanation:
Mark these points on the graph to form a right angled triangle.
Angle Y will be 90 degrees
Answer:
(x, y) = (1/2, -1)
Step-by-step explanation:
Subtracting twice the first equation from the second gives ...
(2/x +1/y) -2(1/x -5/y) = (3) -2(7)
11/y = -11 . . . . simplify
y = -1 . . . . . . . multiply by y/-11
Using the second equation, we can find x:
2/x +1/-1 = 3
2/x = 4 . . . . . . . add 1
x = 1/2 . . . . . . . multiply by x/4
The solution is (x, y) = (1/2, -1).
_____
<em>Additional comment</em>
If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.
A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).
