Which strategies can be used to solve this problem? A county fair plans to have 24 pigs in its pig exhibit area. Eight pigs can
1 answer:
You might be interested in
Answer:
- x = 30°
- RS = 30°, SR = TU = 120°, UR = 90°
- ∠P = 45°
- ∠UTS = 60°
Step-by-step explanation:
(a) If RS = x, then the sum of arcs around the circle is ...
x + 4x +4x +3x = 360°
12x = 360°
x = 30°
__
(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°
- RS = 30°
- ST = 120°
- TU = 120°
- UR = 90°
__
(c) Angle P is half the difference of arcs TU and RS:
∠P = (TU -RS)/2 = (120° -30°)/2
∠P = 45°
__
(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...
∠UTS = 120°/2 = 60°
Answer:
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
Step-by-step explanation:
we have
-----> First equation
-----> Second equation
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (1,7)
The ordered pair (7,19) lie on the first line, so is a solution of the first equation
see the attached figure
<u><em>Verify each statement</em></u>
case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The statement is true
case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true
The statement is false, because the ordered pair (7,19) not lie on the second line
case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
The statement is true
case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true
The statement is false,because it makes only the first equation true
