Carol had a $20 bill.
1 answer:
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For given parallelogram, the value of x = 114° and y = 66°
<h3>Explanation: </h3><em>(Refer figure)</em>
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Answer:
11 feet
Step-by-step explanation:
Area formed by the watery pattern is 379.94 square feet.
Since the water is being sent out in circular pattern, the maximum distance at which the water is reaching out will be equal to the radius of the circle as the sprinkler is at the center of the circle.
Area of a circle is given as:
This means the radius of the circular pattern being formed is 11 feet. So the sprinkler can spread the water 11 feet away from it.