Given:
The equation is
![-50=\dfrac{x}{3}+20](https://tex.z-dn.net/?f=-50%3D%5Cdfrac%7Bx%7D%7B3%7D%2B20)
To find:
The solution of the given equation.
Solution:
We have,
![-50=\dfrac{x}{3}+20](https://tex.z-dn.net/?f=-50%3D%5Cdfrac%7Bx%7D%7B3%7D%2B20)
Subtracting both sides by 20, we get
![-50-20=\dfrac{x}{3}+20-20](https://tex.z-dn.net/?f=-50-20%3D%5Cdfrac%7Bx%7D%7B3%7D%2B20-20)
![-70=\dfrac{x}{3}](https://tex.z-dn.net/?f=-70%3D%5Cdfrac%7Bx%7D%7B3%7D)
Multiply both sides by 3.
![-210=x](https://tex.z-dn.net/?f=-210%3Dx)
Therefore, the solution of the given equation is
.
The area of the first rectangle would be 18cm² and the area of the second rectangle would be 12cm².
<h3>How to calculate the area of a rectangle?</h3>
To calculate the area of a rectangle we must apply the following mathematical formula:
According to the above, to calculate the area of the rectangles we must multiply the length of the side by the base as shown below. We must also take into account the table that will give us the value of X that we do not know:
- 3cm × 6cm = 18cm²
- 2cm × 6cm = 12cm²
Finally, to know how much the area of both rectangles adds up, we add both values:
12cm² + 18cm² = 30cm²
Note: This question is incomplete because the graph is missing. Here is the graph
Learn more about rectangles in: brainly.com/question/10046743
Answer:
Choice A. √x
Step-by-step explanation:
In exponents,
![\\ \tt \: {a}^{ \frac{1}{b} } = \sqrt[b]{a}](https://tex.z-dn.net/?f=%20%20%5C%5C%20%20%5Ctt%20%5C%3A%20%20%7Ba%7D%5E%7B%20%5Cfrac%7B1%7D%7Bb%7D%20%7D%20%20%3D%20%20%5Csqrt%5Bb%5D%7Ba%7D%20)
Hence,
![\\ \tt \: {x}^{ \frac{1}{2} } = \sqrt[2]{x} \: \: \: or \: \: \: \sqrt{x}](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5Ctt%20%5C%3A%20%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%5B2%5D%7Bx%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Csqrt%7Bx%7D%20)
Answer:
m<1 = 69°
Step-by-step explanation:
Angles 20x + 11 and 25x - 14 are vertical angles, so they are congruent.
25x - 14 = 20x + 11
5x = 25
x = 5
The actual measure of angle 20x + 11 is 20(5) + 11 = 111°.
Angle 20x + 11 and <1 are supplementary, so the sum of their measures is 180°.
m<1 + 111° = 180°
m<1 = 180° - 111°
m<1 = 69°
Answer = –3/2
Use rise/run to find the gradient, while finding the difference between the two points.
Equation of slope:
y2 - y1 / x2 - x1
-1-2 / 3-1
–3/ 2
Slope = –3/2