Answer:
1/2
Step-by-step explanation:
Blue + yellow = 3 + 2 = 5 out of 10 slices
5 out of 10 = 5/10 = 1/2
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
- All four interior angles = 90° each.
- Opposite sides are parallel and equal to each other.
- Diagonals should be of the same length and should bisect each other.
<h3>Properties of a Rectangle</h3>
- All four angles of a rectangle are 90° each.
- There are two pairs of parallel sides that are equal in length.
- The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
- Make the four interior angles 90° each.
- The opposite sides should be parallel and equal to each other.
- The diagonals should be of the same length and should bisect each other.
Learn more about properties of rectangle on:
brainly.com/question/2835318
Answer:
5 units
Step-by-step explanation:
An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:
2L + B = 14 units
Where:
L is the measure of one leg
B is the measure of the base
Since two legs are the same and the base is 1 less, this means the measure of each leg would be:
B = L -1
Now we have two equations:
2L + B = 14 units
B = L- 1
We plug one equation into the other and make 1 equation:
2L + (L-1) = 14 units
Get rid of the parentheses:
2L + L - 1 = 14
Combine like terms:
3L - 1 = 14
Add 1 to both sides of the equation:
3L - 1 + 1 = 14 + 1
3L = 15
Divide both sides by 3:
3L/3 = 15/3
L = 5
So the length of a leg is 5 units
Let's check!
B = L - 1
B = 5 - 1
B = 4
Then we use that to solve for the perimeter:
2L + B
2(5) + 4
10 + 4 = 14
<span>B) y = -3x3
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