The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is 
.
The given parameters:
- <em>Partition of the line segment = 5:6</em>
The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
The distance between point D and point E is calculated as follows;
The partition of the two points (D to E) is calculated as follows;
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is .
Learn more about partition of line segments here: brainly.com/question/4429522
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
Hey there! :D
3,942,588
The thousandths is where the 2 is.
If the number behind the 2 is 5 or greater, we round up to 3.
It is, so round up:
3,943,000 <== rounded number
I hope this helps!
~kaikers
