Answer:
=12 units
Step-by-step explanation:
When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.
Therefore, the Pythagoras theorem is used to find the hypotenuse.
a² + b² = c²
(6√2)²+(6√2)²=c²
72+72=c²
c²=144
c=√144
=12
The diagonals of the square measure 12 units each.
Answer:
From left to right:
3, 30, 20
Step-by-step explanation:
Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:
yellow to red = 2 to 6 = 1 to 3
2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.
This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.
To go from yellow to red, do yellow X 3.
To go from red to yellow, do red ÷ 3.
Column 1:
1 X 3 = 3
Column 3:
10 X 3 = 30
Column 4:
60 ÷ 3 = 20
The ratios are:
1 to 3
2 to 6
10 to 30
20 to 60
Answer: The equation is 16g+6 ,lmk if you need the answer :)
Step-by-step explanation:
Answer:
2x + (-2x + 3) = 3
2x - 2x +3
0 + 3
3
2x-7 + (-2x) = -7
2x -2x - 7
0 -7
-7
-(5x -1) + 5x = 1
-5x +1 + 5x
-5x + 5x + 1
0 + 1
1
Step-by-step explanation: In addition, the parentheses help identify the individual addends. If adding a negative number, it is the same as subtracting. If there is a negative sign outside the parentheses, as in example c, you must distribute it: the signs of the numbers within the parentheses must be reversed when the parentheses are removed.
Answer:
1. ∠A and ∠B are right angles. Given
2. m∠A = m∠ B All right angles are congruent.
3. ∠BEC≅ ∠AED Vertical angles are congruent
4. ΔCBE ~ ΔDAE AA
Step-by-step explanation:
A proof always begins with the givens.
1. ∠A and ∠B are right angles. -------------->Given
2. m∠A = m∠ B are equal since-----------> All right angles are congruent.
3. ∠BEC≅ ∠AED are also equal since---->Vertical angles are congruent
4. ΔCBE ~ ΔDAE since two angles are equal----------> AA
