Answer:
One
Step-by-step explanation:
Clearly, one triangle can be constructed as the angles 45 and 90 do not exceed 180 degrees. (so "None" is not correct)
To show that only one such triangle exists, you can apply the Angle-Side-Angle theorem for congruence.
Since one triangle can be constructed, it remains to be shown that no additional triangle that is not congruent to the first one can be created: I will use proof by contradiction. Let a triangle ABC be constructed with two angles 45 and 90 degree and one included side of length 1 inch. Suppose, I now construct a second triangle that is different from the first one but still has the same two angles and included side. By applying the ASA theorem which states that two triangles with same two angles and one side included are congruent, I must conclude that my triangle is congruent to the first one. This is a contradiction, hence my original claim could not have been true. Therefore, there is no way to construct any additional triangle that would not be congruent with the first one, and only one such triangle exists.
98 = m - -78
First, simplify m - -78 to m + 78. / Your problem should look like: 98 = m + 78.
Second, subtract 78 from both sides. / Your problem should look like: 98 - 78 = m.
Third, simplify 98 - 78 to 20. / Your problem should look like: 20 = m.
Fourth, switch sides. / Your problem should look like: m = 20.
Answer: m = 20
I believe it would be the 4th one! :)
Answer:
Step-by-step explanation:qualitative variables are variables with no natural sense of ordering.
