Answer:
The expression representing the width is 3+2L
The width is 9ft
Step-by-step explanation:
Area of a rectangle = Length×width
A = L × W...(1)
Let the length be represented as L
Since the width of the rectangle is 3feet longer than two times its length, this is expressed as:
First, width is twice as long as the length i.e W = 2L
If the resulting width is now 3 feet longer, the final width of the rectangle will be expressed as:
W = 3+2L...(2)
Area (A) = 27ft
Substituting equation 2 into 1, we have;
A = L(3+2L)
A = 3L+2L²
27 = 3L+2L²
2L²+3L-27 = 0
Factorizing the resulting equation
(2L²+9L)-(6L-27) = 0
L(2L+9)-3(2L+9) = 0
L-3 = 0 and 2L+9 = 0
L = 3 and L = -9/2
Disregarding the negative value and substituting L = 3 into equation 2 to get the width
W = 3+2(3)
W = 3+6
W = 9ft
Answer:
105
Step-by-step explanation:
Let the angle of B be x
According to the question,
5x+x=90
or, 6x=90
or, x=15
The angle of B is 15
The angle of A is (15*5)=75
The supplementary angle of A is
(180-75)=105
Answer:
2934.5
Step-by-step explanation:
2934.46692 Rounded to 1 Sig Fig is 2934.5
Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner.
<6 has the same matching corner as <2. <6 and <2 are congruent.
Therefore, it can be concluded that <6 corresponds to <2.
Answer:
1/3
Step-by-step explanation:
I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..
Ex. Rolling a 6 sided dice.. you roll a 5... it would be 1/6.
Hope that makes sense.
