The line that maps a figure onto itself is a line of symmetry of the figure.
From the given trapezoid, the line of symmetry of the trapezoid is x = -2.
Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.
Answer:
2x + 9 with a remainder of 45.
Step-by-step explanation:
If the divisor is x-5, use the divisor 5 in synthetic div.
Taking the coefficients 2, -1 and 4 from the dividend, we get:
------------------
5 / 2 -1 4
10 45
--------------------
2 9 49
This tells us that the quotient is 2x + 9 and that the remainder is 49.
calculate the slopes of the lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
(x₁, y₁ ) = A(- 4, - 1) and (x₂, y₂ ) = B(-1, 2 )
=
=
= 1
(x₁, y₁ ) = B(-1, 2) and (x₂, y₂ ) = (5, 1)
=
= - 
(x₁, y₁) = C(5, 1 ) and (x₂, y₂ ) = D(1, - 3)
=
=
= 1
(x₁, y₁) = A(- 4, - 1) and (x₂, y₂) = D(1, - 3 )
=
= - 
Quadrilateral ABCD is not a parallelogram since only one pair of opposite sides is parallel , that is AB and CD
N=5. All the angles of a triangle equal 180 degrees. So set all of your angles equal to 180. 6n+1+9n-4+108= 180. Combine like terms. 15n-3+108=180. Now subtract 108 and add 3 to the opposite side. 15n=75. Then divide 75 by 15. The answer is five!
The answer is 0.72
Try dividing 504 by 7 first, then move the decimal point of the answer left by two places.