Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing.
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.
Check
=====
l = x + 2
l = 6 + 2
l = 8
w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7
l*w = 8*7 = 56. It checks.
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Answer:
$116.25
Step-by-step explanation:
10% = $7.50
5% = $3.75
7.50 x 5 = 37.50
37.50 + 3.75 = $41.25
$75 + $41.25 = $116.25
Hope this helps !
Answer:
a) x = 18
b) y = 35
c) t = 4.5
Step-by-step explanation:
a) x + x + x = 54
3x = 54
x = 54 ÷ 3
x = 18
b) y/5 = 7
(y/5) × 5 = 7 × 5
y = 35
c) 4t + 6 = 24
4t +6 - 6 = 24 -6
4t = 18
4t ÷ 4 = 18 ÷ 4
t = 4.5
x = 37.5 (or) 
Solution:
Given 
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Do cross multiplication, we get
Subtract 30x from both sides of the equation.
Divide by 20 on both sides of the equation, we get
x = 37.5 (or)
Hence the value of x is 37.5 or .
4p+9-7p+2=
group like terms
4p-7p+9+2
addd like terms
-3p+11
that is simplified form
