Answer:
This condition is true.
Step-by-step explanation:
A sample of 2,845 auto workers was selected to learn if they would go on strike.
Over 50% of those in the sample declared they would strike.
We can assume that the majority of all auto workers favor a strike. This is true because, in the sample, it is declared that 50% of workers would strike.
And this sample represents the whole majority or population. Hence we can say that a majority of all auto workers favor a strike.
8x + 114x + 3
8x + 114x = 122x
112x + 3
Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = 
= 
= 
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= 
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.
Given:
A figure.
and 
To find:
What kind of figure and the value of x
Solution:
All four sides are congruent.
Diagonals bisect each other.
There the given figure is rhombus.
Diagonals bisect the angles.
⇒ 

Subtract 3 on both sides.


Subtract 6x from both sides.


Divide by 3 on both sides.


The value of x is
.