Answer:
Step-by-step explanation:
Given
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
Since , then
can then be rewritten as:
Substitute values for B and C
Open Bracket
Collect Like Terms
Divide both sides by 23
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
AB (y=3) and CD (y=6) are parallel, but different lengths. The figure is a trapezoid. A diagram shows it to be an isosceles trapezoid.
Answer:
2.Both boundary lines are solid.
3.A solution to the system is (1, 3)
5.The boundary lines intersect.
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line
The slope of the solid line is 3
The point (1,3) is a solution of inequality A (lie in the shaded area of the solution set)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is -1
The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)
The solution of the system of inequalities is the shaded area between the two solids lines
see the attached figure
<u><em>Verify each statement</em></u>
1.The slope of one boundary line is 2
The statement is False
2.Both boundary lines are solid.
The statement is True
3.A solution to the system is (1, 3)
The statement is True
4.Both inequalities are shaded below the boundary lines
The statement is False
5.The boundary lines intersect.
The statement is True
The intersection point is (0.25,1.75)
see the attached figure
