X=12. So this one says that it has 3 congruent sides so therefore it has to have 3 congruent angles. Here we have angle 2 and we have angle 60. Given the definition of triangle congruence, we can say that 60 is angle 2 and that the third angle is also 60 but it’s not relevant in this problem. So knowing that angle 2 is 4x+12 we solve for x by seeding that equal to 60 and then solving for x we get x=12. Hope this helps!!!!
No don't pleeeeeeassssseeer
Replace all occurrences of + − with a single − . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1 ⋅ − 1 = − 1 2 − 2 c − 9 c 2
Answer:
gets smaller.
Step-by-step explanation:
Quick Answer
To give you a short quick answer, the supplement is going to have to decrease or get smaller.
Example
Suppose the acute angle is 10 (anything under 90 will do).
Then the supplement is going to be 180 - 10 = 170
Now suppose the acute angle increase to 50 degrees.
That means the supplement will go from 180 - 50 = 130
Conclusion
As the acute angle gets bigger, the supplement gets smaller. This is an important idea to get clear. Bigger and Smaller or More or Less can be ugly little words, so anytime you come across them, pay attention. It will make your life in science so much easier.
Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let <em>b</em> ft be the height of the blue △.
sin 60° = 
<em>b</em> = 25 sin 60°
Let <em>r</em> ft be the height of the red △.
tan 40° = 
<em>r</em> = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
