Answer:
C. AB = 5.8 cm
Step-by-step explanation:
In trapezoid ABCD, EF is the Midsegment.
.:. EF = {(AB+CD)
.:: 9.2 = {(AB + 12.6)
:: 9.2 x 2 = AB + 12.6
.. 18.4 = AB + 12.6
.. 18.4-12.6 = AB
:: AB = 5.8 cm
How do you solve this system of equations using the addition method:
4
x
−
y
=
−
4
;
5
x
+
2
y
=
−
18
?
Algebra
1 Answer
IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4
5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8
5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26
13
x
13
=
−
26
13
x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4
−
8
−
y
=
−
4
y
=
−
8
+
4
y
=
−
4
x
=
−
2
;
y
=
−
4
Answer link
x = 0, x = 
, x = - 
since we have a product of factors equal to zero, equate each factor to zero and solve for x
x² = 0 ⇒ x = 0 ( multiplicity 2 )
5x - 7 = 0 ⇒ x =
3x + 2 = 0 ⇒ x = -
Square.
A square is a rectangle, so rectangle.
A rectangle is a parallelogram, so parallelogram.
Equilateral.
Also Rhombus.
(I think there may be others but these are the few I know)
