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:
18 inches and 57 inches
Step-by-step explanation:
The diameter and the circumference of a circle are proportionate to each other.
The circumference of a circle will always be the diameter times 
. We know this because the circumference of a circle is represented as
Since the diameter is twice the radius, we multiply the radius by 2 - there's already a 
in this equation, so 
.
1st option: 
, this is close to 57 so it's reasonable.
2nd option: 
, this isn't close to 28 at all.
3rd option: 
, this isn't close to 80 at all.
So the 1st option is reasonable.
Hope this helped!
Answer:
60cm²
Step-by-step explanation:
Surface area of a triangular prism = 2B+ph
B is the base area = 6cm²
perimeter p = 12cm
altitude h = 4cm
Substitute
Surface area = 2(6) + 12(4)
Surface area = 12 + 48
Surface area = 60cm²
Answer:
this a good question someone reply when its answered
Step-by-step explanation:
