Answer:
x = 40°
Step-by-step explanation:
Two sides are the same length, so the angles opposite them are the same size.
The sum of the angles = 180°. One angle is 100°, so the sum of the remaining two angles is 80°.
Since the remaining two angles are congruent, each is 40°.
Answer: The answer is true.
Step-by-step explanation: The given statement is
'If a system of two inequalities has a solution, then their two half planes intersect'.
We are to check whether the statement is true or false.
Let a system of two inequalities be
These inequalities has a solution, for example, x = 2, y = 1.
Plotting these inequalities on a graph paper (please see the attached graph), we see that the two half planes intersect, which is represented by the double shaded region in the graph.
Thus, the given statement is TRUE.
