Answer:
75
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180
58 + 47 + x = 180
105 + x = 180 subtract 105 from both sides
x = 75
Answer:
m=1
Step-by-step explanation:
2m+7=9
subtract 7 on both sides
2m=2
divide 2 on both sides
m=1
hope it helped
Answer: -27/8
Step-by-step explanation:
![\left(-\frac{1}{2}\cdot \:3\right)^3](https://tex.z-dn.net/?f=%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A3%5Cright%29%5E3)
![\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28-a%5Cright%29%5En%3D-a%5En%2C%5C%3A%5Cquad%20%5Cmathrm%7Bif%5C%3A%7Dn%5Cmathrm%7B%5C%3Ais%5C%3Aodd%7D)
![\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3](https://tex.z-dn.net/?f=%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A3%5Cright%29%5E3%3D-%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A3%5Cright%29%5E3)
![=-\left(\frac{1}{2}\cdot \:3\right)^3](https://tex.z-dn.net/?f=%3D-%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A3%5Cright%29%5E3)
![\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Ccdot%20%5C%3Ab%5Cright%29%5En%3Da%5Enb%5En)
![\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A3%5Cright%29%5E3%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E3%5Ccdot%20%5C%3A3%5E3)
![=-\left(\frac{1}{2}\right)^3\cdot \:3^3](https://tex.z-dn.net/?f=%3D-%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E3%5Ccdot%20%5C%3A3%5E3)
![=-\frac{1}{8}\cdot \:3^3](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5C%3A3%5E3)
![=-\frac{1}{8}\cdot \:27](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5C%3A27)
![=-\frac{27}{8}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B27%7D%7B8%7D)
Answer:
x=1
Step-by-step explanation:
Answer:
B. Perimeter of a square and
C. Side length of a square
Step-by-step explanation:
if n= side length of square then
- Area of square is
![n^{2}](https://tex.z-dn.net/?f=n%5E%7B2%7D)
- Perimeter of a square is 4×n
- diagonal length of a square is
× n
Thus,
Perimeter of square can be expressed as
×diagonal length of a square
Side length of a square can be expressed as
×diagonal length of a square
but Area of square is
×n×diagonal length of a square
As a Result, Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>