Answer:
No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot
Step-by-step explanation:
A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°. All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.
Pythagorean Theorem is a² + b² = c², where a and b are the legs, and c is the hypotenuse. Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle. Plug the values in to see if the equation is true or false
10² + 12² = 18²
100 + 144 = 324
244 ≠ 324 so the bookcase does not form a right angle, and won't fit in the corner of the room
Isolate the variable by subtracting 8x from both sides to get -4x = -1. multiply both sides by -1 to get 4x = 1. divide both sides by 4 to get x = 1/4.
Answer:
The numbers would be 89,414 , 89,416, and 89,418
Step-by-step explanation:
In order to find this, start by setting the lowest number as x. Then we can determine that the next two even integers are x + 2 and x + 4. From this we can write the following equation.
2(x) + x + 2 = 268,244
3x + 2 = 268,244
3x = 268,242
x = 89,414
Since the first number is 89,414, we know the next two are 89,416 and 89,418.
Answer:
This figure is a quadrilateral, and therefore the sum of the interior angles must be 360°. Adding them up, we get 40° + 128° + x + 82° = 360°, or
168° + 82° + x = 360°, or 250° + x = 360. Subtracting 250° from both sides results in 110°, which is the measure of x.
Step-by-step explanation:
