Answer:
1) ![n = 84](https://tex.z-dn.net/?f=n%20%3D%2084)
2) ![n = 78](https://tex.z-dn.net/?f=n%20%3D%2078)
3) ![n = 24](https://tex.z-dn.net/?f=n%20%3D%2024)
4) ![n = 16](https://tex.z-dn.net/?f=n%20%3D%2016)
5) ![n = 35](https://tex.z-dn.net/?f=n%20%3D%2035)
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:
![\frac{5}{12} = \frac{35}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D%20%3D%20%5Cfrac%7B35%7D%7Bn%7D)
![5n = 35*12](https://tex.z-dn.net/?f=5n%20%3D%2035%2A12)
Simplifying both sides by 5
![n = 7*12 = 84](https://tex.z-dn.net/?f=n%20%3D%207%2A12%20%3D%2084)
Question 2:
![\frac{n}{52} = \frac{180}{120}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B52%7D%20%3D%20%5Cfrac%7B180%7D%7B120%7D)
![120n = 52*180](https://tex.z-dn.net/?f=120n%20%3D%2052%2A180)
Simplifying both sides by 20
![6n = 52*9](https://tex.z-dn.net/?f=6n%20%3D%2052%2A9)
Simplifying by 3
![2n = 52*3](https://tex.z-dn.net/?f=2n%20%3D%2052%2A3)
Simplifying by 2
![n = 26*3 = 78](https://tex.z-dn.net/?f=n%20%3D%2026%2A3%20%3D%2078)
Question 3:
![\frac{18}{n} = \frac{21}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7Bn%7D%20%3D%20%5Cfrac%7B21%7D%7B28%7D)
![21n = 18*28](https://tex.z-dn.net/?f=21n%20%3D%2018%2A28)
Simplifying both sides by 7
![3n = 18*4](https://tex.z-dn.net/?f=3n%20%3D%2018%2A4)
Simplifying both sides by 3
![n = 6*4 = 24](https://tex.z-dn.net/?f=n%20%3D%206%2A4%20%3D%2024)
Question 4:
![\frac{n}{4} = \frac{24}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B4%7D%20%3D%20%5Cfrac%7B24%7D%7B6%7D)
![\frac{n}{4} = 4](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B4%7D%20%3D%204)
![n = 16](https://tex.z-dn.net/?f=n%20%3D%2016)
Question 5:
![\frac{10}{16} = \frac{n}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B16%7D%20%3D%20%5Cfrac%7Bn%7D%7B56%7D)
![16n = 56*10](https://tex.z-dn.net/?f=16n%20%3D%2056%2A10)
Simplifying by 2, both sides
![8n = 56*5](https://tex.z-dn.net/?f=8n%20%3D%2056%2A5)
Simplifying by 8, both sides
![n = 7*5 = 35](https://tex.z-dn.net/?f=n%20%3D%207%2A5%20%3D%2035)
Answer:
0.75
Step-by-step explanation:
15/20 can be reduced to 3/4, which you can find using long division.
3/4 = 0.75
Answer:
I can't tell you the answer but look at each corner and write down each ordered pair for all corners.
Step-by-step explanation:
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
Below are the choices that can be found from other source:
a. Law of Sines: XY/sin 25º = 100/sin 135º
<span>b. Law of Cosines: (XY)2 = (100)2 + (135)2 - 2(100)(XY)(cos 25º) </span>
<span>c. Law of Cosines: (100)2 = (XY)2 + (135)2 - 2(100)(135)(cos 25º) </span>
<span>d. Law of Sines: XY/sin 25º = 100/sin 20º
</span>
The answer is D