Answer:
SSS Theorem
Step-by-step explanation:
All the corresponding sides of these two triangles are of equal length, proving their congruency. Although it can be assumed that they also share the same angles, no angle information is directly given to prove the fact.
X = tables and y = chairs
5x + 3y < = 40
100x + 30y > 500
well...8 tables and 0 chairs....he will be at 40 hrs and make $ 800....so I believe ur answer is A
Answer:
x=6
Step-by-step explanation:
The given equation is
![7+5(x-3)=22](https://tex.z-dn.net/?f=7%2B5%28x-3%29%3D22)
We need to find the value of x for which the given statement is true.
Using distributive property we get
![7+5(x)+5(-3)=22](https://tex.z-dn.net/?f=7%2B5%28x%29%2B5%28-3%29%3D22)
![7+5x-15=22](https://tex.z-dn.net/?f=7%2B5x-15%3D22)
![5x-8=22](https://tex.z-dn.net/?f=5x-8%3D22)
Add 8 on both sides.
![5x=22+8](https://tex.z-dn.net/?f=5x%3D22%2B8)
![5x=30](https://tex.z-dn.net/?f=5x%3D30)
Divide both sides by 5.
![\dfrac{5x}{5}=\dfrac{30}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B5x%7D%7B5%7D%3D%5Cdfrac%7B30%7D%7B5%7D)
![x=6](https://tex.z-dn.net/?f=x%3D6)
Therefore, the given statement is true form x=6.
Answer:
y = 5/4x
Step-by-step explanation:
To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.
So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.
Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)
Answer:
Factor
Step-by-step explanation:
A factor is a number that is being multiplied.
A quotient is a number obtained by division.
A product is a number obtained by multiplication.
A coefficient is a number in front of a variable (2x).