Diagonals of a parallelogram bisect each other
or they intersect each other in the halfway
x+4=3y-11-------------------------equation1
2x-1=y-1-------------------------------equation2
mulitply equation 1 to 2
2x+8=6y-22-----------------------equation3
equation2 - equation3
-9=-5y +21
5y=30
y=6
then x= 3
now PT=2x-1=5
TR=y-1=5
ST=3y-11=7
TQ=x+4=3+4=7
You do the same operation on both sides.
Hope this helps!
Answer: Probability of getting one volcano in the world on which to conduct an extensive study is ![\frac{1}{37}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B37%7D)
Step-by-step explanation:
Since we have given that
Number of cinder cone volcanoes = 13
Number of shield volcanoes = 18
Number of stratovolcanoes = 6
Total number of volcanoes is given by
![13+18+6\\\\=37](https://tex.z-dn.net/?f=13%2B18%2B6%5C%5C%5C%5C%3D37)
So, Probability of selecting one volcano in the world on which to conduct an extensive study is given by
![\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{1}{37}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BNumber%20of%20favourable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20number%20of%20outcomes%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B37%7D)
Hence, Probability of getting one volcano in the world on which to conduct an extensive study is ![\frac{1}{37}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B37%7D)
Answer:
4x2−24x4x2-24x
Factor 4x4x out of 4x24x2.
4x(x)−24x4x(x)-24x
Factor 4x4x out of −24x-24x.
4x(x)+4x(−6)4x(x)+4x(-6)
Factor 4x4x out of 4x(x)+4x(−6)4x(x)+4x(-6).
4x(x−6)4x(x-6)
4x2−24x4x2-24x
Step-by-step explanation:
tried
Answer:
![\large\boxed{0.334444...=\dfrac{301}{900}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B0.334444...%3D%5Cdfrac%7B301%7D%7B900%7D%7D)
Step-by-step explanation:
![x=0.334444...\qquad\text{multiply both sides by 100}\\\\100x=33.4444...\qquad\text{multiply both sides by 10}\\\\1000x=334.4444...\qquad\text{subtract}\ 100x\ \text{from}\ 1000x\\\\1000x-100x=334.4444...-33.4444...\\\\900x=301\qquad\text{divide both sides by 900}\\\\x=\dfrac{301}{900}](https://tex.z-dn.net/?f=x%3D0.334444...%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%20100%7D%5C%5C%5C%5C100x%3D33.4444...%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%2010%7D%5C%5C%5C%5C1000x%3D334.4444...%5Cqquad%5Ctext%7Bsubtract%7D%5C%20100x%5C%20%5Ctext%7Bfrom%7D%5C%201000x%5C%5C%5C%5C1000x-100x%3D334.4444...-33.4444...%5C%5C%5C%5C900x%3D301%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20900%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B301%7D%7B900%7D)