Answer:
Step-by-step explanation:
Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.
Angle GEB is a right angle by given.
Angle DFC is a right angle by given.
The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.
The two triangles are similar by angle-angle-angle.
The circumference should be 37.68 because area= pi *r^2. So if area=pi*36, then the radius must be 6 which makes the diameter 12 and circumference=pi*diameter and 3.14*12= 37.68. So circumference of the circle is 37.68!
Answer:
C. x^5/2 + 6x^3/2 + 1.
Step-by-step explanation:
(x^3 + 6x^2 + x^1/2) / x^1/2
= x^(3 - 1/2) + 6 x(2-1/2) + 1
= x^5/2 + 6x^3/2 + 1.
There follows the formula for "z-score:"
raw score - mean
z = ------------------------------
standard dev
9.1 - 8
Here, the z-score is z = ------------- = 0.344
3.2