Answer:
Step-by-step explanation:
We can solve this system of equations using the elimination method.
Let's start by multiplying the first equation by 3:
Now, multiply the second equation by 5:
Since both equations have 15x, we can eliminate the x by subtracting the two equations.
Now, substitute 2 for y to solve for x:
Therefore the solution to this system of equations is:
Answer : The correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.
Step-by-step explanation :
As we know that there are three types of triangle.
(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.
(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.
(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.
Now we have to determine the length DF.
using Pythagoras theorem:
The length DF = 8.06 unit
So, we can say that:
DE + EF > DF
Hence, from the given options we conclude that, the correct options are:
DE + EF > DF
5 < DF < 13
Δ DEF is a scalene triangle.