ANSWER: The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
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Answer:
(c) (3, 3)
Step-by-step explanation:
Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...
CE : ED = 2 : 1
Try the answers with the x-coordinates.
CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect
CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect
CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct
CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect
The only viable choice is (3, 3).
_____
<em>Alternate solution</em>
For a partitioning of m : n, the desired point is ...
E = (n×C +m×D)/(m+n)
For partitioning of 2 : 1, the desired point is ...
E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3
E = (3, 3)
Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
<h3>How to illustrate the information?</h3>
It should be noted that complementary angles are the angles that are equal to 90°.
Therefore, based on the information given, the expression will be illustrated thus:
19x + 6 + 9x = 90°
Collect like terms
28x = 90° - 6°
28x = 84
Divide through by 28
28x / 28 = 84/28
x = 3
Therefore, the value of HEB will be:
= 9x
= 9 × 3
= 27°
Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
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Answer:
positive
Step-by-step explanation:
it is positive
