4(x-3)-(2x+5)=-3x-27
4*x - 4*3 - 2x - 5 = -3x - 27
4x - 12 - 2x - 5 = -3x - 27
2x - 17 = -3x - 27
2x + 3x = -27 + 17
5x = -10 / : 5
x = -2
Answer:
The answer is B.
Step-by-step explanation:
You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

Let a = 40,
Let b = 9,





*Take note, hypotenuse will <u>a</u><u>l</u><u>w</u><u>a</u><u>y</u><u>s</u><u> </u><u>b</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>l</u><u>o</u><u>n</u><u>g</u><u>e</u><u>s</u><u>t</u><u> </u><u>l</u><u>e</u><u>n</u><u>g</u><u>t</u><u>h</u> among the 3 lengths.
*Pythogorean Theorem can only applied in a right-angle triangle.
The appropriate formula is C = 2*pi*r.
Here, C = 2*pi*(50 units) = 100*pi units (answer)
<span>Information is given(reasons are in the parenthesis)
Angle A and angle B are supplementary. Angle B and Angle C are supplementary (given)
DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)
ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>