Answer:
A. 109
Step-by-step explanation:
We know that since AB = CB, then ΔABC is isosceles.
Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.
Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.
∠BCE = ∠DCB + ∠BCA
∠BCE = 64 + 45 = 109°
The answer is thus A.
<em>~ an aesthetics lover</em>
Answer: 1/17
Step-by-step explanation:
First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.
If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.
We then multiply both together. This will be:
= 13/52 × 12/51
= 1/4 × 4/17
= 1/17
Answer:
k is 2/3 and y is -1/3 when x is -0.5.
Step-by-step explanation:
The direct variation relationship is y = kx, where k is the const. of var.
Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.
Now, if x = -0.5, y = (2/3)(-1/2) = -1/3
k is 2/3 and y is -1/3 when x is -0.5.
If you would like to know how much farther does Louisa's family need to drive, you can calculate this using the following steps:
791 miles - 114 miles = 677 miles ... 700 miles
The correct result would be D. 700 mi.
26 cm/s = 15.6 m.min :))
i hope this be helpful
have a nice day
