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.
Answer:
(0,1)
Step-by-step explanation:
Let (0,3) lies on f(x), then:

Let

To find the corresponding point that lie on g(x), we substitute x=0
This implies that:

But f(0)=3
We substitute to get:

The required point is (0,1)
A) The Y-intercept of this equation is 3
B) The slope of this equation is 2
C) This equation has a positive slope
D) Starting from the Y-intercept, I simply went over to the right 1 box, and up 2 boxes
I hope this helps!
Set up a proportion:
5/200 = 7/x
Cross multiply:
200 * 7 = 5 * x
1400 = 5x
Divide 5 to both sides:
x = 280
The answer for a is 8/3. Hope it help!