Answer:

Step-by-step explanation:
We have been provided a graph of a triangle and we are asked to find the length of segment DE.
Angle bisector theorem states that if a ray bisects an angle of a triangle, then it bisects the opposite side of triangle into segments that are proportional to other two sides.
By angle bisector theorem we can set proportions of the given sides as:

Upon substituting our given values in above proportion we will get,

Upon multiplying both sides of our equation by 2 we will get,



Therefore, the length of segment DE is 4 units.
A negative divided by a positive gives a negative result
So the answer is -3.1
Hope this helps!
Answer:
i)
\frac{3}{5} + (- \frac{1}{2}) = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}
ii)
4^{3} + 8^{2} + \sqrt{9}
iii)
(\frac{4}{5})^{2}. \sqrt[3]{8} \leqx^{3} - 3x + 6 \leq \sqrt{\frac{1}{3}}
Step-by-step explanation:
i)
\frac{3}{5} + (- \frac{1}{2}) = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}
ii)
4^{3} + 8^{2} + \sqrt{9}
iii)
(\frac{4}{5})^{2}. \sqrt[3]{8} \leqx^{3} - 3x + 6 \leq \sqrt{\frac{1}{3}}