Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
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°
Hope it helps!!
Answer:
partitions.
Step-by-step explanation:
As we know if we have x number of elements we can arrange them in x! ways.
here we have 100 elements so we can arrange them in 100! ways.
Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements, we have three options for each element, thus we can arrange the remaining 97 elements in ways/partitions.
each of these partition will contain only three elements.
Average rate = [h(3) - h(0)]/(3 - 0)
h(3) = 300 - 16(3)^2 = 300 - 16(9) = 300 - 144 = 156
h(0) = 300 - 16(0)^2 = 300
average rate = (156 - 300)/3 = -144/3 = -48
Therefore, the object falls with an average rate of 48 ft/s during the first 3 seconds.
Answer:
Marion has 34 rocks and Vondra has 17 rocks
Step-by-step explanation:
1. 51 ÷ 3 = 17
2. Because Marion has 2 times the amount of rocks as Vondra you have do 17 × 2 = 34
3. So, Marion has 34 rocks and Vondra has 17 rocks
59? I may be wrong though
