Answer:
180 pages
Step-by-step explanation:
let x be the number of pages in the book , then
x + 40 = x ( multiply through by 9 to clear the fraction )
7x + 360 = 9x ( subtract 7x from both sides )
360 = 2x ( divide both sides by 2 )
180 = x
The total number of pages in the book is 180
In order to find the volume of the cabinet, use the volume formula for a rectangular prism, which is the shape of the cabinet.
lwh Formula for volume of a rectangular prism
24 x 72 x 18 Now, plug in each of the values you've been given.
31,104 Multiply the numbers; you might want to use paper and pencil, or a calculator, if you're allowed to.
The volume of the cabinet is 31,104 un³.
Hope this helps!
The following can be deduced from the expressions
m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12
Please note that the sum of angles in a triangle is 180 degress. Therefore,
M∠ A + m ∠ B + m ∠ D = 180equation(3)
Substitute for equation 1 and 2 in equation 3 as shown below
m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0
Substitute for m∠A= 24 in equation 1 and 2 as shown below
m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0
,
∠= °
∠= °
∠= °
Count the units on the sides. On the Y axis the rectangle is 4 units and on the X axis the rectangle is 6 units. Area of a rectangle=L*W so, 6*4=24. Perimeter is 4*2 and 6*2=8+12=20. Hope this helps!
