Answer:
.
Step-by-step explanation:
It is given that,
If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.
So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.
We know that,
Therefore, .
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:
336
Step-by-step explanation:
Given
Required
Determine number of first, second and third;
The first position can be any of the 8 runners
The second position can be any of the remaining 7
The third positioncan be any of the remaining 6