1. Unique line postulate
Statement: Through any two points, there is exactly one line.
2. Line intersection postulate
Statement: If two lines intersect, then their intersection is exactly one point.
3. Segment addition postulate
Statement: If A, B and C are collinear and B is between A and C, then AB + BC = AC
4. Angle Addition postulate
Statement: If R is in interior of 
, then 
.
5. Linear pair theorem
Statement: If two angles form a linear pair, then the angles are supplementary.
6. Congruent Complements theorem
Statement: If two angles are complementary to the same angle, then the angles are congruent.
Answer:
2 A. Exponential Expression.
2 B. Linear.
3 A. Linear.
3 B. Exponential Expression.
Answer:
6g-27=3
6g=30 add 27 on both sides
g=5 divide by 6
final answer is 5
hope this helps
have a good day :)
Step-by-step explanation:
Given the radius r and the tangent line AB, the length of the line OA is 24 units
<h3>How to determine the length OA?</h3>
The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
Read more about tangent lines at:
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The amount in the account after the given time if compounded semiannually is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
Learn more on compound interest here: brainly.com/question/24924853
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