Answer:
- Benito's error was using the equal sign (=) instead of the congruency symbol (≅).
Explanation:
Benito's error was using the equal sign (=) instead of the congruency symbol (≅).
The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.
For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.
In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.
Answer:
Let the two supplementary angles be
we know sum of two supplementary angles is 180
2x + 3x = 180
5x = 180
x = 180/5
x = 36
2*36 = 72
3*36 = 108
Therefore the two supplementary angles are 72 and 108
Answer:
2fg
Step-by-step explanation:
Answer:
a. 7.2
b. 6
Step-by-step explanation:
Since the side lengths of similar polygons are proportional to each other, therefore:
Thus, let's find b using:
Cross multiply
Divide both sides by 15
b = 6
Let's find a using:
Cross multiply
9*12 = 15*a
108 = 15a
Divide both sides by 15
a = 7.2
