5. The line that contains the circumcenter in ΔABC is: <em>line k.</em>
6. The line that contains the orthocenter in ΔABC is: <em>line m.</em>
7. The line that contains the centroid in ΔABC is: <em>line l.</em>
8. The line that contains the centroid in ΔABC is: <em>line n.</em>
<h3>What is the Circumcenter of Triangle?</h3>
Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.
- The line that contains the circumcenter in ΔABC is: <em>line k.</em>
<h3>What is the Orthocenter of a Triangle?</h3>
Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.
- The line that contains the orthocenter in ΔABC is: <em>line m.</em>
<h3>What is the Centroid of a Triangle?</h3>
The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.
- The line that contains the centroid in ΔABC is: <em>line l.</em>
<h3>What is the Incenter of a Triangle?</h3>
The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.
- The line that contains the centroid in ΔABC is: <em>line n.</em>
Learn more about centers of a triangle on:
brainly.com/question/16045079
ANSWER
My answer is in the photo above
Answer:
76.2
Step-by-step explanation:
You multiple the length value by 2.54
Hey there!
For this, the easiest way to do this is guess+check with some logic behind it. First, we see the equation:

Now to do this, first, we want to see what the ways to break up
are. We can make it
or
. We also want to see what ways we can break up 48:
.
From this, we want it so we can multiply these pairs by each other and add them up to equal 28. We already can cross out the first two ways to break up 48 as 48 is greater than 28 already, and though 24 is less, if we were to multiply that by x we would get 24x, and for the remaining 2 it would become 8x (as remember x and 4x are paired, meaning you have to multiply 2 by the other half of the pair, 4x). Adding these gets 32x, which is greater than 28x.
We are left with:


Now, actually, funny thing is all of these happen to work. If you were to multiply 3 by 4x, and 16 by x, you would get 12x+16x=28x. If you were to multiply 4 by 4x, and x by 12, you would also get 12x+16x=28x. Finally, if you were to multiply 6 by 2x and 8 by 2x, you would get 12x+16x=28x. So really here, you can take your pick. let's use 6*8. Writing this out, we get:
(2x+6)(2x+8)
Hope this helps! Sorry that this explanation was actually quite a bad one, if you have any additional questions just ask me.