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:

Step-by-step explanation:
refer to solution in the picture
Answer:
31
Step-by-step explanation:
/
<em>254.031336 feet tall</em>
Since <u>the golden ratio is 1.61803398875</u>, we just multiply 157 by it... since 157*1.61803398875=254.031336, we can assume this is the correct answer. Simplified it would be 254.03
Answer:
The rate of change is 9.5 ft/min
Step-by-step explanation:
every minute the balloon rises in 9.5 feet increments