Remember y ou can do anything to an equation as long as you do it to both sides
get 1x by itself
8x-12=4x+24
add 12 to both sides
8x=4x+36
minus 4x from both sides
4x=36
divide both sides by 4
x=9
21x - 19 = 3x + 17 |add 19 to both sides
21x = 3x + 36 |substract 3x from both sides
18x = 36 |divide both sides by 18
x = 2
Answer:
The rug will fit. The rug is smaller than the parallelogram.
Step-by-step explanation:
This question is testing to see if you can figure out how the rug may fit in the room.
The rug does fit. Here's how we know.
The only given information from the question is...
- Length and Width of the <em>Rectangular Rug</em>
- Area of the Parallelogram
Notice that you can use the Length and the Width to get the area of the Rectangular Rug. We need to find the area of the rectangle so we can compare it to the parallelogram.
The area of the Parallelogram is listed at : 108 sqft
The area of the rectangular rug is : 60 sqft
- <em>Area of rectangle = Length * Width</em>
- <em>6 * 10 = 60</em>
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The question now asks us if the rug will fit in her room. Well, 60 sqft is less than 108 sqft. So, yes, it will fit.
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
