Answer:
Step-by-step explanation:
As the equation is given in the question as follows.
2.5(6x-4)=10+4(1.5+0.5x)
open the bracket
2.5 × 6x - 2.5 × 4 = 10 + 4 × 1.5 + 4 ×0.5x
15x - 10 = 10 + 6 + 2x
15x - 2x = 16 + 10
13x = 26
x = 2
Answer:
n= 36
Step-by-step explanation:
18=n-18 (add 18 to both sides of the equation, 18 and -18 cancel out)
36=n
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
The number of unique ways is given by the number of possible
combination having distinct members.
The number of unique ways there are to arrange 4 of the 6 swimmers are <u>15 ways</u>.
Reasons:
The given parameters are;
The number of swimmers available = 6 swimmers
The number of swimmers the coach must select = 4 swimmers
Required:
The number of unique ways to arrange 4 of the 6 swimmers.
Solution:
The number of possible combination of swimmers is given as follows;

Therefore, the coach can select 4 of the 6 available swimmers in <u>15 unique ways</u>
Learn more here:
brainly.com/question/23589217