Answer:
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Step-by-step explanation:
Angle bisector of an angle bisects it into two equal angles.
Construction of an angle bisector is partially represented by the diagram on the baseball field.
Consider the figure:
From point B, draw an arc by opening the compass up to the same extend as we did while drawing arc from point A.
Take the point of intersection of both the arcs as C.
Join OC.
OC is the angle bisector of the angle.
3x + y = 15
5x3y = 11
This is an example of a system of equations.
A system of equations is two or more equations that can be graphed, as the solution that satisfies both equations will be the point where the lines intersect on a graph.
Desmos is a graphing calculator, and thus it allows you to visualize this system.
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
![m\angle a=\dfrac{180^o-46^o}{2}=67^o\\\\m\angle b=180^o-67^o=113^o\\\\m\angle x=\dfrac{180^o-113^o}{2}=33.5^o\\\\Answer:\ [1]\ 33.5^o](https://tex.z-dn.net/?f=m%5Cangle%20a%3D%5Cdfrac%7B180%5Eo-46%5Eo%7D%7B2%7D%3D67%5Eo%5C%5C%5C%5Cm%5Cangle%20b%3D180%5Eo-67%5Eo%3D113%5Eo%5C%5C%5C%5Cm%5Cangle%20x%3D%5Cdfrac%7B180%5Eo-113%5Eo%7D%7B2%7D%3D33.5%5Eo%5C%5C%5C%5CAnswer%3A%5C%20%5B1%5D%5C%2033.5%5Eo)
