The bisector of angle APQ passes through O and this is illustrated below.
<h3>How to illustrate the information?</h3>
From the information given, the center is O. and the circle passes through O and cuts at K.
In this case, it should be noted that the circles are equal according to the SAS test.
Here, AOB + APQ = 180° (Linear pair)
2AOB = 180
AOB = 90.
Therefore, the bisector of angle APQ passes through O.
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Answer:
x/2 - 12
Step-by-step explanation:
let the number be x
half a number means x divide by 2. i.e x/2
when decreased by 12 means x/2 - 12
Answer:
$403.15
Step-by-step explanation:
Principal loan amount is the total amount minus down-payment:
Knowing that 
, the monthly payments can be calculated using the formula:
![M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15](https://tex.z-dn.net/?f=M%3DP%5B%5Cfrac%7Br%281%2Br%29%5En%7D%7B%281%2Br%29%5En-1%7D%5D%5C%5C%5C%5C%3D23000%5Cfrac%7B%280.006658%281.006658%29%5E%7B72%7D%7D%7B1.006658%5E%7B72%7D-1%7D%5C%5C%5C%5C%3D403.15)
Hence, the monthly payment is $403.15
Answer:
102 students
Step-by-step explanation:
Note that 65% and 71% are both 1 standard deviation from the mean (71%). According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.
68% of 150 students would be 0.68(150 students) = 102 students
