The probability of answering each question correctly is 1/4....since there is 1 correct answer out of 4 answer choices.
probability of answering 15 correct.....(1/4)^15 = 1/1073741824
Answer:
a. x = 12
b. x = 4
Step-by-step explanation:
a. RECTANGLE
ABCD is a rectangle, AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
10x + 8 = 9x + 20
10x - 9x = 20 - 8
x = 12
b. RHOMBUS
Diagonal of a rectangle bisect opposite angles.
Therefore,
(5x + 3)° = (2x + 15)°
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
1.6333
The 3 goes on forever so I recommend rounding up.
Answer:
see the attachment
Step-by-step explanation:
• When two secants intersect a circle the measure of the angle between them is half the difference of the intercepted arcs. Tangent DH is a degenerate case of a secant in which both points of intersection are the same point (D). Thus ∠GHD is half the difference of arc GD and ED.
• We assume points B and C are on radii DA and EA, respectively. Hence arc DE has the same measure as ∠BAC, and ∠DGE has half that measure.
• Tangent DH will intersect radius DA at right angles. Hence ∠ADH = 90°.
• ∠DHE = ∠DHG, whose measure is given by the formula in the first answer choice. The formula in the 4th choice is different (and wrong).
• ∠DGE and ∠BFC both intercept arcs with the same measure. Neither is greater than the other: they are equal in measure.
• Inscribed triangle DGE cannot be a right triangle because none of its sides is a diameter of the circumcircle.
The value of X is 344.
please see the attached picture for full solution
hope it helps
Good luck on your assignment