The expression of X in terms of l is X = √5 l
<h3>How to calculate the diagonal of a rectangle</h3>
According to the given information:
- Length = w
- If length<u> l is twice as long </u>as the width, then l = 2w
Determine the diagonal using the Pythagoras theorem:
X² = w²+(2w)²
X² = w² + 4w²
X =√5w²
X = √5 w
Replace w with l
X = √5 l
Hence the expression of X in terms of l is X = √5 l
Learn more on diagonals here: brainly.com/question/26154016
Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
Answer:
$9
Step-by-step explanation:
Cost per bottle of Lemonade = $0.30
Let b represent the number of bottles that you sell which is given as:
30 bottles
Equation for solving
= 0.30 × b
= 0.30b
Hence,
Total cost for 30 bottles of Lemonade is:
0.30 × 30
= $9
Hence, you can make $9 from selling 39 bottles of Lemonade.
The answer is the last option: 
Explanation:
1. You have that the equation of the line is:
Where 
is the slope of the line and 
is the intercept with the y-axis.
2. Therefore, you must find .
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for , as following:
Answer:
D. 5
Step-by-step explanation:
The congruence of S'T' with ST tells you ...
9 = x +7
2 = x
The congruence of S'U' and SU tells you ...
4x = y +3
4·2 -3 = y = 5 . . . . substitute the value of x; subtract 3
