Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28
Answer:
Option B is correct.
The expression which is equivalent to 
is; 
Explanation:
Given the equation: for all values of n.
The quadratic equation in this form; 
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
Now, factor the first two terms and last two terms,
we see that 
is common to both terms so, we have;
Therefore, the expression is equivalent to
Check:
(n+4)(n+22) = 
= [ True]
We want to see which could be the possible score of Kath for the given information. We will find the inequality:
K ≤ 33
<h3>
Stating what we know:</h3>
The given information is:
- The sum of the scores is not greater than 55 points
- Ella's score is 22 points.
<h3>Writing the inequality:</h3>
First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:
K + 22 ≤ 55
This means that the sum of the points is smaller than or equal to 55.
Now we just need to solve this for K, to do this, we subtract 22 in both sides:
K ≤ 55 - 22
K ≤ 33
From this, we can conclude that Kath has at most 33 points.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
