hfleysher
28.06.2019 •
Mathematics
If the ratio of two complementary angles is 4 to 5, explain how you would set up an equation to solve for the angle measures.
Solved
Show answers
More tips
- F Food and Cooking What can and cannot be eaten during Lent?...
- F Food and Cooking How to Find Your Zip Code?...
- W Work and Career Can Skill Alone Make You a Professional?...
- C Computers and Internet How to Top Up Your Skype Account Without Losing Money?...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
Answers on questions: Mathematics
- M Mathematics 6. A motorcycle is moving at a constant speed of 40 miles/hour. How long does it take to travel a distance of 65 miles?...
- C Chemistry On a velocity verses time graph, the area under the graph line represents the change in position of the object....
- B Biology Use the illustration below to answer the question. Cell Division Which statement best describes the phase of the cell cycle shown?...
- A Advanced Placement (AP) A language that is used to facilitate trade or business between people who speak different languages is a lingua franca. True False...
- M Mathematics No idea how to do this equation. its applying system s of linear equations. 1.5x-1.9y=-29 x-0.9y=4.5...
- M Mathematics - What is the volume of a square pyramid with height 15m and slant height 17m? A 85 m2 B 320 m2 C 1280 m2 D 3840 m2...
Ответ:
"A ratio of 4 to 5" means that dividing the two angles (whatever they may be) simplifies to 4/5. One example is 40 degrees and 50 degrees so 40/50 = 4/5. Another example is the pair of angles 20 and 25, so 20/25 = 4/5
For now, we don't know the angles. Let's call them x and y. Based on the info above, we can say
x/y = 4/5
also we know that x and y add to 90 degrees because the angles are complementary. So x+y = 90 which solves to y = 90-x if you isolate y.
Let's cross multiply on the first equation to get...
x/y = 4/5
5*x = 4*y
Now replace y with 90-x. Solve for x
5x = 4(90-x)
5x = 360 - 4x
5x+4x = 360
9x = 360
x = 360/9
x = 40
Use this to find y
y = 90 - x = 90 - 40 = 50
So the two angles are 40 degrees and 50 degrees.
Ответ:
idk
Step-by-step explanation:
sorry