For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:

, or

Solving for x:

So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
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Answer:
Step-by-step explanation:
In where my friend
Mark me as brainliest
Answer:
27 years
Step-by-step explanation:
Given that :
Town A:
Initial population = 14280
Rate = increase by 160 per year
Let t = time in years
Population is thus :
14280 + 160t - - - (1)
Town B:
Initial population = 24000
Rate = decrease by 200 per year
P = 24000 - 200t - - - (2)
Equate both equations :
14280 + 160t = 24000 - 200t
160t + 200t = 24000 - 14280
360t = 9720
t = 9720 / 360
t = 27
In 27 years
Do you have a picture for this problem? There are multiple different ways to solve this problem but I'll need a picture to help you.