Answer:
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the width of the rectangle = (x+1) feet</em>
<em>Given that the length of the rectangle = ( x-6) feet</em>
<em>The area of the rectangle = 30 square feet</em>
<u><em>Step(ii):-</em></u>
We know that the area of the rectangle
= length ×width
30 = ( x+1)(x-6)
30 = x² - 6x + x -6
⇒ x² - 5 x - 6 = 30
⇒ x² - 5 x - 6 - 30 =0
⇒ x² - 5 x - 36 =0
x² - 9 x +4x - 36 =0
x (x-9) +4 ( x-9) =0
( x+4 ) ( x-9) =0
( x+4 ) =0 and ( x-9) =0
x =-4 and x =9
<u><em>Step(iii):-</em></u>
we have to choose x =9
The length of the rectangle (l) = x-6 = 9-6 =3
The width of the rectangle (W) = x+1 = 9 +1 = 10
<u><em>Final answer:-</em></u>
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
<span>4x – 20 = 900
4x = 900+20
4x = 920
x = 920/4
x = 230
he earned $230
</span>
Answer:
Gross pay per days is 5h+8 dollars
Step-by-step explanation:
we are given
total gross pay =35h+56 dollars
total number of days =7
we know that
gross pay per day = ( total gross pay)/(total number of days)
we can plug values
gross pay per day is
we can simplify it
Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°
