Answer:x=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants = 
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :


x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
<u>Debt at month 0</u> (when Andres got the loan)
24,320
<u>Debt at month 1</u>
24,320*(1 + 0.001875) = 24,365.6
<u>Debt at month 2</u>
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
<u>Debt at month 3</u>
24,357.1755*(1.001875)
<u>Debt at month 4</u>

<u>Debt at month 5</u>

<u>Debt at month 6</u>
- 3,410 (partial payment)
= 24,540.36874
<u>Debt at month 7</u>
24,540.36874*(1.001875)
<u>Debt at month 8</u>

<u>Debt at month 9</u>

<em>and so on</em> until month 24 (the maturity)
<u>Debt at maturity</u>

= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.
Answer:
answer is b
Step-by-step explanation:
look at the picture
Answer:

Step-by-step explanation:
becauseby pytagorean theorem we get

16+81=c squared
97 =c squared
c=radical 97