![datboi995](/avatars/47100.jpg)
datboi995
06.07.2019 •
Mathematics
Sketch three possible rectangle of perimeter 20 feet
Solved
Show answers
More tips
- G Goods and services Top 5 Best Laundry Detergents for Impeccable Cleanliness of Your Clothes...
- S Society and Politics Как правильно поддерживать температуру в квартире для здоровья...
- L Leisure and Entertainment How to Make a Crab Trap in Just a Few Minutes...
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
Answers on questions: Mathematics
- M Mathematics ! 1. the function f(x) = 800(1.09)3x shows the growth due to interest that jim earns on an investment. the steps to calculate an equivalent function are shown below: [step...
- M Mathematics Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this week, how many hours must he work to make at least $165?...
- H Health What would a pregnant female expect to find out after having an amniocentesis?...
- S Spanish Which word or phrase best completes this conversation? rodrigo: ¿cuál es la fecha hoy? pablo: es el 15 de enero. fernando: entonces, fue el 14 de enero. ayer anteayer la...
- H History What Major Events Happened After the Treaty of Versailles?...
- W World Languages Five factors that could block effective communication?...
- G Geography What are the 3 major global wind systems...
Ответ:
Ответ:
We can use the angle sum theorem to solve for the angles (and some other rules as well).
Angle 1:
We know we have two angles already there. 40 degrees and 90 degrees. Every triangle must have angles that add up to 180.
We can work this as so:
40 + 90 + angle 1 = 180
130 + a1 = 180
Subtract 130 from both sides...
130 - 130 + a1 = 180 - 130
a1 = 50
There! We now know that angle 1 is 50 degrees.
Next, angle two (this one is SUPER easy).
The angle directly above it is 90 degrees, so we can use the verticle angle rule to quickly see that angle 2 is 90 degrees as well. (Or we could just look at the paper and find out it's a right angle.)
Awesome! We know that angle 2 is 90. This will help us in finding angle 3 as well.
Let's use the angle sum theorem we used on angle 1.
a2 + a3 + 30 = 180
90 + a3 + 30 = 180
120 + a3 = 180
Subtract 120 from both sides...
120 - 120 + a3 = 180 - 120
a3 = 60
Sweet, we know can say angle three is 60 degrees!
Now, time for angle 4...
Angle three is right below angle 4... verticle angle rule comes into play here again:
a3 = a4
60 = a4
Angle 4 equals 60.
Now, time for angle 5. Let's use the angle sum rule for this one.
a4 + a5 + 60 = 180
60 + a5 + 60 = 180
120 + a5 = 180
Subtract...
120 - 120 + a5 = 180 - 120
a5 = 60
Angle 5 equals 60 degrees as well!
Almost there...hold tight.
Angle 6 is right below 5, so they equal each other because they are exactly verticle.
a6 = a5
60 = 60
Angle 7, sum theorem time!
a6 + a7 + 20 = 180
60 + a7 + 20 = 180
80 + a7 = 180
Subtract...
80 - 80 + a7 = 180 - 80
a7 = 100
Angle 7 equals 100!
Great, we're ... just saw the rest of the paper. Hold up.
To do part b, we need to find all the other angles to figure out angleX.
Look at the angle that is 45 degrees. Use verticle angle rule to see we have the triangle at 45 and 60 degrees.
60 + 45 + ? = 180
105 + ? = 180
? = 75 degrees.
Now we know the missing side is 75 degrees.
(I apologize, I can't exactly type it out how to do solve it, I do things differently than your school might teach. But I think the answer for B would be 243...but you might want to try it and see if that is correct.)
C.
This one, we need to use the sum rule we used above to find X.
First, add them all to equal 180:
4x + 28 + x + 19 + 3x + 13 = 180
Combine like terms.
8x + 60 = 180
Subtract...
8x + 60 - 60 = 180 - 60
8x = 120
Divide...
8x/8 = 120/8
x = 15
Fifteen equals X!
Now, D.
Since we know that they are equal (the lines going through the triangle's side shows us), we can set them equal and solve.
6k + 3 = 3k + 18
Simplify...
6k - 3k + 3 = 3k - 3k + 18
3k + 3 = 18
3k + 3 - 3 = 18 - 3
3k = 15
Divide 3 to get k by its self.
3k/3 = 15/3
k = 5
Now, we substitute k for 5 and solve.
6(5) + 3 =
30 + 3 = 33 (One side).
3(5) + 18 =
15 + 18 = 33
It is literally impossible to find the length of the other side without any given information about it. If there is, please let me know in the comments.
All righty! That was the longest thing I have ever attempted. (35 Minutes to answer this question.)
Hope I could help you out! If my math is wrong, or I provided an answer(s) you were not looking for, please let me know! However, if it my answer for you is EPIC, please consider marking Brainliest :) .
Have a good one;
God Bless.