7x + 6 < 3(x - 2)
7x + 6 < 3x - 6
7x - 3x < -6 - 6
4x < -12
x < -12/4
x < -3
<span>{x | x < -3}</span>
The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.
<h3>
What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.
Note that the angle that has been dissected here is ∠CBD. Thus,
= 
See the link below for more about Angle Bisector Theorem of the Triangle:
brainly.com/question/21475560
Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour
Answer:
w=9
Step-by-step explanation:
Our equation is: 8w-15=57
Add 15 to both sides
-15 is now gone because we added 15 so it would be zero
and we have 72 because 15 plus 57 is 72
Now we have:
8w=72
Divide by 8 on both sides
8w cancels out to just w
and 72 divided by 8 is 9
And you're left with:
w=9