Answer: The answer is 125 degree(third option)
Step-by-step explanation:
x + 55 = 180 {being co interior angles}
or, x = 180 - 55
so, x = 125
Answer:
9x^2 and -30x
Step-by-step explanation:
Basically, what we want to do is expand out (3x - 5)^2, which is the same as (3x - 5)(3x - 5).
Use FOIL (first, outer, inner, last):
- the first terms are 3x and 3x, so multiply those together: 3x * 3x = 9x^2
- the outer terms are 3x and -5, so multiply those: 3x * (-5) = -15x
- the inner terms are -5 and 3x, so multiply those: (-5) * 3x = -15x
- the last terms are -5 and -5, so multiply those together: (-5) * (-5) = 25
Add all these together:
9x^2 + (-15x) + (-15x) + 25
9x^2 - 30x + 25
The missing terms are thus 9x^2 and -30x.
What numbers are you talking about love?
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
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<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
