Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get




Adding x on both sides, we get




The missing length is 3 Therefore, the correct option is D.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Solve the Inequality.

x<-4

First, add 6x on both sides:
-2x+3+6x<-13
Add the x's:
4x+3<-13
Now, subtract 3 on both sides:
4x<-13-3
4x<-16
Divide by 4 on both sides:
x<-4
So the values of x that are less than -4 will make the given inequality true.
<h3>Good luck.</h3>
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3 />
Either you can use distributive property or you can add up the numbers in the brackets.
Hopefully that helped! :)
your answer is 5/6 is bigger
Answer:
14
r
3
−
40
r
2
+
12
r
+
24
=4
Step-by-step explanation: