7844=7400(1+(8/12)r)
Solve for r
R=0.09*100=9%
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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Part 1) Find the measures of angle BGEwe know that
The inscribed angle measures half of the arc it comprises.
so
angle BGE=(1/2)*[arc EB]
Part 2) Find the angle BDG
we know that
The measure of the external angle is the semi-difference of the arcs that it covers.
so
angle BDG=(1/2)*[arc GEB-arc GB]
Answer:
x = 1.5
Step-by-step explanation:
First, we distribute (get rid of parentheses):
6x - 3 - 3x = 5 - x - 2
Then, we simplify:
3x - 3 = 3 - x
Then, we combine like terms:
3x + x = 3 + 3
Then, we simplify again:
4x + 6
Finally, we divide 4 on both sides:
We got x = 1.5
Hope this helps!