<h3>
Answer: 103</h3>
Explanation:
The term "bisect" means "divide in half", or "divide in two equal pieces".
Angles A = 58 and B = 96 divide in half to get 29 and 48 respectively
Find their sum and subtract it from 180 to get angle AMB
29+48 = 77
180-77 = 103
A diagram is shown below.
You can solve a system with variables by:
1. Pick any two pairs of equations from the system.
2. Eliminate the same variable from each pair using the Addition/Subtraction method
3. Solve the system of the two new equations using the Addition/Subtraction method
4. Substitute the solution back into one of the original equations and solve for the third variable
5. check by plugging the solution into one of the other three equations
When you see questions of this nature, test the individual inequalities and look out for their intersection.
For
Choose a point in the lower or upper half plane created by the line
The above line is the one which goes through the origin.
Now testing (1,0) yields,
That is,
This statement is true. So we shade the lower half of
For
We test for the origin because, it is not passing through the origin.
This yields
This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph