Answer:
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because
✔ all radii of the same circle are congruent.
We also know that AC ≅ BC since
✔ tangents to a circle that intersect are congruent.
Using the reflexive property, we see that
✔ side CO is congruent to side CO.
Therefore, we conclude that △ACO is congruent to △BCO by the
✔ SSS congruence theorem.
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1-D, 2-C, 3-A, 4-C, 5-B, 6-A, 7-D, 8-B
The value of the 3 in 6300 is 300 because it is in the hundreds place.
Hope this helps!!
Let P be the final value
Let r be the rate
Let t be the time in years
Let C be the initial value
Let n be the number of times interest is given per year
P = C (1 + r/n) ^ (nt)
r = 0.075 (7.5%)
t = 3/4 years
C = $1500
r = 4 (4 quarters in one year)
P = C (1+r/n)^ (t/n)
= 1500 * (1 + 0.075/4) ^ (3/4 * 4)
= 1585.97
Have an awesome day!
If you are wondering, a quarter means 1/4 of a year.