Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is
, then the proportion of their area is
.
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:
![\frac{x^2}{3^2}=\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B3%5E2%7D%3D%5Cfrac%7B9%7D%7B1%7D)
![\frac{x^2}{9}=\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B9%7D%3D%5Cfrac%7B9%7D%7B1%7D)
![x^2=9\cdot 9](https://tex.z-dn.net/?f=x%5E2%3D9%5Ccdot%209)
![x^2=81](https://tex.z-dn.net/?f=x%5E2%3D81)
Take positive square root as length cannot be negative:
![\sqrt{x^2}=\sqrt{81}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B81%7D)
![x=9](https://tex.z-dn.net/?f=x%3D9)
Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Using proportions, it is found that the average daily requirement for these adults is of 2080 calories.
--------------------
- Percentage problems are solved by proportions, using a rule of three.
- 1560 calories is 75% = 0.75 of the calorie requirement for many adults.
- How much is 100% = 1?
The rule of three is:
1560 calories - 0.75
x calories - 1
Applying cross multiplication:
![0.75x = 1560](https://tex.z-dn.net/?f=0.75x%20%3D%201560)
![x = \frac{1560}{0.75}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1560%7D%7B0.75%7D)
![x = 2080](https://tex.z-dn.net/?f=x%20%3D%202080)
The average daily requirement for these adults is of 2080 calories.
A similar problem is given at brainly.com/question/24738632
<span>Solve the following problem 2/3=m/42
</span>
Solution is M=28
Need more info for the rest of the problem.
4+5=9
That is all I can see
Answer:
2<x<6 should be the right answer
Step-by-step explanation:
the absolute value of x-4 + 4
x+4<2