The lengths of the line segments are summarized in the following list:
- DF = 3
- DE = 8 / 3
- FG = 3
- FH = 9 / 2
- GH = 3 / 2
- EH = - 11 / 6
<h3>How to calculate the length of a line segment based on point set on a number line</h3>
Herein we have a number line with five points whose locations are known. The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:
DF = - 1 - (- 4)
DF = 3
DE = (- 1 - 1 / 3) - (- 4)
DE = 3 - 1 / 3
DE = 8 / 3
FG = 2 - (- 1)
FG = 3
FH = (3 + 1 / 2) - (- 1)
FH = 4 + 1 / 2
FH = 9 / 2
GH = (3 + 1 / 2) - 2
GH = 1 + 1 / 2
GH = 3 / 2
EH = (3 + 1 / 2) + (- 1 - 1 / 3)
EH = - 2 + (1 / 2 - 1 / 3)
EH = - 2 + 1 / 6
EH = - 11 / 6
To learn more on lengths: brainly.com/question/8552546
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The complete question in the attached figure
we know that
tan R°=opposite side angle R/adjacent side angle R
opposite side angle R=72 units
adjacent side angle R=25 units
so
tan R°=72/25
R=arc tan (72/25)---------> R=70.85°-------> R=70.9°
the answer is R=70.9°
Answer:
x=-12
Step-by-step explanation:
You're trying to solve for x. So, to get x by itself, you need to divide by 9 on both sides and when you divide -108 by 9, you end up with x equaling -12.
-108/9=-12
x=-12