2x-6=90 would be the answer
Answer:

Step-by-step explanation:
Given
, start by squaring both sides to work towards isolating
:

Recall
and
:

Isolate the radical:

Square both sides:

Expand using FOIL and
:

Move everything to one side to get a quadratic:

Solving using the quadratic formula:
A quadratic in
has real solutions
. In
, assign values:

Solving yields:

Only
works when plugged in the original equation. Therefore,
is extraneous and the only solution is 
Answer:
D.
Step-by-step explanation:
Lines EG and CD are cut by transversal CF.
By construction, ∠FEG=∠FCD. These two angles are corresponding angles.
Since two corresponding angles are congruent, then lines EG and CD are parallel (by converse of the corresponding angles postulate).
Converse of the Corresponding Angles Postulate: If the corresponding angles formed by two lines and a transversal are congruent, then lines are parallel.
Answer:
278.63 square inches
Step-by-step explanation:
Gina needs to cut two types of rectangles.
Dimensions of one rectangle is given as,
Width = 12 inches
Length =
=
inches
So, the area of this rectangular paper will be
Area = width × length =
= 171 inches²
Dimensions of the other rectangular paper has been given as
Width =
=
inches
Length =
=
inches
So, the area of this rectangle will be
Area = width × length =
= 107.63 inches²
Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.