No product results in -1, hence δlmn is NOT a right triangle showing that lydia's assertion is incorrect
<h3>Perpendicular lines</h3>
In order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:
For the slope of lm:

For the slope of ln:

For the slope of mn:

- If any of the two lines is perpendicular, hence the triangle lmn is right-angled.
- To check, we will take the product of the slopes and see if it is equivalent to -1.
Product of slope lm and ln

Since no product results in -1, hence δlmn is NOT a right triangle showing that Lydia's assertion is incorrect
Learn more on slopes here: brainly.com/question/3493733
Firstly simplify both sides
using distributive terms
(-8)(2)+(-8)(-3w)+-5w
=-16+24w+-5w
combine like terms
-16+24w+-5w
=(24w+5w)+(-16)
=19w+-16
the answer is 19w+ -16
<h3>What is conventional theory of the formation of the galaxy ?</h3>
The conventional theory of the formation of the galaxy can be regarded as one that stressed that the formation of milky way was done relatively short time some million years ago.
And this was when spherical cloud of gas collapsed as a result of pressure the particular gravity which was surrounded by a halo.
Therefore, formation of the galaxy was recorded to occur roughly 12 to 13 billion years ago .
Learn more about galaxy at;
brainly.com/question/7974113