By using the diagram and the given angle measure we get that:
if, m∠1 = 143°
then, m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
What is angles?
An angle is formed when two straight lines or rays meet at a common endpoint.
What is Properties of Congruence?
For all angles A ,
∠A≅∠A .
An angle is congruent to itself.
For any angles A and B ,
if ∠A≅∠B , then ∠B≅∠A .
Order of congruence does not matter.
For any angles A,B, and C ,
if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .
If two angles are both congruent to a third angle, then the first two angles are also congruent.
I assume that, this refers to two intersecting lines which form four angles.
- ∠1 and ∠2 are supplementary angles whose sum is 180°.
∠1 + ∠2 = 180°
143° + ∠2 = 180°
∠2 = 180° - 143°
∠2 = 37°.
- ∠1 and ∠3 are vertical angles so do with ∠2 and ∠4.
- Therefore, it is easy to find their measures because vertical angles are congruent in measure.
It means that, ∠1 = ∠3 =143° (properties of congruency)
and ∠2 = ∠4 =37° (properties of congruency).
Find out more about angles and congruent angles:
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Answer:
12 meters
20cm*60 = 1200cm = 12 meters
100cm = 1m btw
Answer:
The exponential function will be
Step-by-step explanation:
Let the exponential function is given by
............ (1)
Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.
Now, for the ordered pair (2,20) putting f(2) = 20, we get
............. (2)
Again, for the ordered pair (3,40) putting f(3) = 40, we get
............. (3)
Now, from equations (3) and equation (2) we get,
2 = b
⇒ b = 2.
Now, from equation (2) we get, 
⇒ a = 5
Therefore, the exponential function will be
(Answer)
$52,000 + 6% = $55,120
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Answer:
B
Step-by-step explanation: