Answer:
$112.50
Step-by-step explanation:
13.50 / 6 = 2.25; this is how much it cost per pound
2.25 * 50 = 112.50
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
![\angle A + \angle D = 180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B%20%5Cangle%20D%20%3D%20180%5E%7B%5Ccirc%7D)
From equation [1];
![\angle A + \angle A = 180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B%20%5Cangle%20A%20%3D%20180%5E%7B%5Ccirc%7D)
Combine like terms :
![2\angle A = 180^{\circ}](https://tex.z-dn.net/?f=2%5Cangle%20A%20%3D%20180%5E%7B%5Ccirc%7D)
Divide both sides by 2 we get;
![\frac{2 \angle A}{2} = \frac{180^{\circ}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%20%5Cangle%20A%7D%7B2%7D%20%3D%20%5Cfrac%7B180%5E%7B%5Ccirc%7D%7D%7B2%7D)
Simplify:
![\angle A = 90^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%20%3D%2090%5E%7B%5Ccirc%7D)
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴ ![\angle A = \angle B = \angle C = \angle D = 90^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%20%3D%20%5Cangle%20B%20%3D%20%5Cangle%20C%20%3D%20%5Cangle%20D%20%3D%2090%5E%7B%5Ccirc%7D)
Therefore, the measure of each angle is ![90^{\circ}](https://tex.z-dn.net/?f=90%5E%7B%5Ccirc%7D)
Answer:
x=1
Step-by-step explanation:
![\sqrt{( - 3 - x) ^{2} + {( - 2 - 3)}^{2} } = \\ \sqrt{ {(4 - x)}^{2} + {(5 - 3)}^{2} } \\ \\ 9 + 6x + {x}^{2} + 25 = \\ 16 - 8x + {x}^{2} + 4 = = = > \\ 34 + 6x = 20 - 8x = > \\ 14 = 14x = = = > x = 1](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28%20-%203%20-%20x%29%20%5E%7B2%7D%20%20%2B%20%20%7B%28%20-%202%20-%203%29%7D%5E%7B2%7D%20%7D%20%20%3D%20%5C%5C%20%20%20%5Csqrt%7B%20%7B%284%20-%20x%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%285%20-%203%29%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%5C%5C%209%20%2B%206x%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2025%20%3D%20%5C%5C%2016%20-%208x%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204%20%3D%20%20%3D%20%20%3D%20%20%3E%20%20%5C%5C%2034%20%2B%206x%20%3D%2020%20-%208x%20%3D%20%20%3E%20%20%5C%5C%2014%20%3D%2014x%20%3D%20%20%3D%20%20%3D%20%20%3E%20x%20%3D%201)
Done
The number(s) might be -5.5 or -6. I believe the answer might've been -6 but I'm not so sure about that. Please let me know.
HOPE THIS HELPS YOU..... IF NOT I'M SO SORRY
Answer:
Rs. 3,14,532
Step-by-step explanation: