Use the drawing provided to explain the 45-45-90Theorem.“In a triangle whose angles measure 45, 45, and 90, the hypotenuse has a length equal to the product of 
and the length of either leg.”Given: 
with 
, 
, and 
Prove: 
and 
What will be an ideal response?
, 
. Thus, the sides opposite these angles are congruent. If 
, then
With the right angle at C, we apply the Pythagorean Theorem to obtain
.
Then 
, so 
. Applying the Square Roots Property, we have
or 
. Then 
.
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Graph the inequality in a rectangular coordinate system.2x + y ? -1
A. 
B. 
C. 
D. 
Solve the inequality graphically, numerically, or symbolically, and express the solution in interval notation. Where appropriate, round to the nearest tenth.6?x + 2? < 6
A. 
B. 
? 
C. 
D. 
? 
Complete the graph by shading the correct region.x + y ? 5
A. 
B. 
C. 
D. 
Factor completely.15x2 + 4x - 4
A. (15x + 2)(x - 2) B. (3x + 2)(5x - 2) C. (15x + 1)(x - 4) D. (3x - 2)(5x + 2)