Answer:
The value of x is 8.
Step-by-step explanation:
In triangle PQR and XZY,
![\angle P=\angle X=90^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20P%3D%5Cangle%20X%3D90%5E%7B%5Ccirc%7D)
![\angle Q=\angle Z](https://tex.z-dn.net/?f=%5Cangle%20Q%3D%5Cangle%20Z)
![\angle R=\angle Y](https://tex.z-dn.net/?f=%5Cangle%20R%3D%5Cangle%20Y)
By AA property of similarity, we can say that
![\triangle PQR\sim \triangle XZY](https://tex.z-dn.net/?f=%5Ctriangle%20PQR%5Csim%20%5Ctriangle%20XZY)
The similarity statement is
.
The corresponding sides of similar triangles are proportional. Since both triangles are similar, so
![\frac{PQ}{QR}=\frac{XZ}{ZY}](https://tex.z-dn.net/?f=%5Cfrac%7BPQ%7D%7BQR%7D%3D%5Cfrac%7BXZ%7D%7BZY%7D)
![\frac{21}{28}=\frac{5x+2}{7x}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B28%7D%3D%5Cfrac%7B5x%2B2%7D%7B7x%7D)
![\frac{3}{4}=\frac{5x+2}{7x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B5x%2B2%7D%7B7x%7D)
![7x\times 3=(5x+2)\times 4](https://tex.z-dn.net/?f=7x%5Ctimes%203%3D%285x%2B2%29%5Ctimes%204)
![21x=20x+8](https://tex.z-dn.net/?f=21x%3D20x%2B8)
![21x-20x=8](https://tex.z-dn.net/?f=21x-20x%3D8)
![x=8](https://tex.z-dn.net/?f=x%3D8)
Therefore the value of x is 8.
Answer:
they arnt whole it would have to be a decimal and you would have to round in order for it to be a whole number
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8x0.25 = 2
Let x = 0.1515...
100x = 15.1515...
15.1515...
- 0.1515...
= 15
100x - x = 99x
99x = 15
X = 15/99
Answer:
×=16
Step-by-step explanation:
distribute 3 into the () so it would be 6x+6=96. subtract 6 to 96= 90. 90 divide by 2=16