The two quadrilaterals are given similar .
In any similar figure sides are in proportion.The second largest side of quadrilateral ABCD is 16 ft .Let the second longest side of quadrilateral EFGH be x ft. These sides will be in proportion to each other .
The second shortest side of quadrilateral EFGH that is GF will be proportional to the third longest side of quadrilateral ABCD that is BC
We can form a proportion with the proportional sides:
![\frac{16}{x} =\frac{12}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%7D%7Bx%7D%20%3D%5Cfrac%7B12%7D%7B18%7D%20%20)
To solve for x we cross multiply
12x=(16)(18)
12x=288
Dividing both sides by 12 we get
x=24.
The second longest side of quadrilateral EFGH is 24 ft.
X-23=18
Because difference means subtract
Using <u>linear function concepts</u>, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
In which:
- m is the slope, which represents by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- The explanatory variable fat is the input.
- The response variable calories is the output.
The equation is:
![y = 121 + 1.42x](https://tex.z-dn.net/?f=y%20%3D%20121%20%2B%201.42x)
- The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
- The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.
Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at brainly.com/question/16302622
The volume of the rectangular prism is the amount of space in the box
The volume of the rectangular prism is 22 cubic feet
<h3>How to determine the volume of the box</h3>
The dimension of the cube is given as:
Length = 1/2 ft
So, the volume of the cube is:
![V = (\frac 12)^3](https://tex.z-dn.net/?f=V%20%20%3D%20%28%5Cfrac%2012%29%5E3)
Evaluate the exponent
![V =\frac 18](https://tex.z-dn.net/?f=V%20%20%3D%5Cfrac%2018)
There are 176 cubes in the prism.
So, the volume of the prism is:
![V_2 = 176 * \frac 18](https://tex.z-dn.net/?f=V_2%20%3D%20176%20%2A%20%5Cfrac%2018)
![V_2 = 22](https://tex.z-dn.net/?f=V_2%20%3D%2022)
Hence, the volume of the rectangular prism is 22 cubic feet
Read more about volumes at:
brainly.com/question/1972490