I'm assuming D is the center of the circle. See the new figure.
Angle BDC = 106 degrees, that's the definition of arc measure.
Triangle BDC is isosceles (two radii make congruent sides) so the two remaining angles in BDC are equal, DBC=DCB=(180-106)/2=37 degrees.
Angle BAC = 106/2 = 53 degrees, subtending the arc of 106 degrees.
Angle CAD = 53/2 = 26.5 degrees because AD is a bisector, the shared hypotenuse of congruent right triangles AED and AFD.
AFD is also congruent to CFD, so angle DCA is also 26.5 degrees
Angle ACB is the sum of DCA and DCB, ACB = 26.5 + 37 = 63.5 degrees
The angle subtends the arc we seek, whose measure must be double:
10x - 23 = 2(63.5) = 127 degrees
10x = 150
x = 15
Answer: 15
The calculations are incorrect because the angles in a parallelogram are either:
The same
or complimentary (add up to 180)
Neither case is true here so the calculations are incorrect.
Decreased as getting more for less/same amount makes it so the worth of euro has went down
Answer:
94.88 cubic units
Step-by-step explanation:
Volume of the prism = Area of base * Height

1 ft = 12 in
6 in = 6/12 = 0.5 ft
9 in = 9/12 = 0.75 ft
D = M/V ⇒ M = DV
V = 0.5 * 0.5 * 0.75 = 0.1875 cubic foot
M = 41.7 * 0.1875 ≈ 7.8 pounds
Answer: B.