Answer:

Step-by-step explanation:
Since we are not given a midpoint, we use the Angle Addition Postulate:
156 = [x + 109] + [x + 53]
156 = 162 + 2x
-162 - 162
_______________
−6 = 2x
___ ___
2 2
−3 = x
[−3 + 53] + [−3 + 109] = 156
50 106
156 = 156 ☑
Therefore,
is a genuine statement.
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the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
So, here we have an exponential function.
Remember that an exponential function has the form:

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).
So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

So,

For city B:

But something different happens with city C. This is not an exponential function, this is a linear function.
So,

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
SCORPION-xisa [38]
The probability of picking a card with an even number is
.
<h3>
What is probability?</h3>
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
To find the probability of picking a card with an even number:
- There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
- These cards are placed on a table with the numbers facing down.
- To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
- 12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
- So, the probability of picking a card with an even number is
.
Therefore, the probability of picking a card with an even number is
.
Know more about probability here:
brainly.com/question/24756209
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COMPLETE QUESTION:
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.