Answer:
x² + 23x + 49
Step-by-step explanation:
Since the area of a rectangle is: A = l x w, where l = length and w = width, we can find the overall area of the shaded region by multiplying the entire area and subtracting the smaller area of the unshaded square:
(2x + 5)(x + 10) - (x + 1)² or (2x + 5)(x + 10) - (x² + 2x + 1)
Distribute/FOIL:
2x² + 20x + 5x + 50 - x² - 2x -1
Combine like terms:
x² + 23x + 49
The square root of 1007
written as,
√1007=
=31.733
or
31.7 rounded.
Answer:
x = 4
Step-by-step explanation:
sin 30 = x/8
0.5 = x/8
x = 4
Answer:
ASA congruence theorem
Step-by-step explanation:
WE know by given that <em>∠S ≅∠U</em> and<em> line ST ≅ line UT</em>
By the vertical angles theorem, we can find that ∠RTS ≅ ∠VTU.
They are in a form that when looking around the edge, you see congruent <em>angle, side, then angle</em>. That means that we can prove the triangles' congruence with ASA congruence.
