Answer:
Step-by-step explanation:
<u>The missing reasons are:</u>
- 1. k. Given
- 2. j. Definition of parallelogram
- 3. d. Definition of linear pair
- 4. b. Linear pair postulate
- 5. e/m. Definition of supplementary
- 6. g. Same side interior angles theorem
- 7. e/m. Definition of supplementary
- 8. a/c. Substitution property of congruence
- 9. i. Subtraction property of congruence
- 10. f. Alternate interior angles theorem
- 11. l. Alternate exterior angles theorem
- 12. h. Angle congruence postulate
A.) A = 20000 + 1000n
B = 20000(1.04)^n
b.) For A, sn = n/2(2a + (n - 1)d)
s20 = 20/2(2(20000) + 1000(20 - 1)) = 10(40000 + 19(1000)) = 10(40000 + 19000) = 10(59000) = $590,000
For B, sn = a(r^n - 1)/(r - 1)
s20 = 20000((1.04)^20 - 1)/(1.04 - 1) = 20000(2.191 - 1)/0.04 = 20000(1.191)/0.04 = 23822.46 / 0.04 = $595,561.57
c.) Using a graphing calculator, it takes 18 years for the
<span>total amount earned a company B is greater that the total amount of earned at company A.</span>
Where the rest of the question?
<h3>
Answer: A. 9</h3>
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Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.
I’d say 21 tbh unless the sum is half of the brothers age then it would be 9
