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°
The measure of angle 2 is 
Explanation:
Given that 
and 
are complementary angles.
Also, the measure of angle 1 is 
We need to determine the measure of
Since, we know that the complementary angles add up to 90°, then the angles and add up to 90°.
Thus, we have,
Substituting the value of in the above expression, we have,
Subtracting both sides by 76°, we get,
Simplifying, we have,
Thus, the measure of angle 2 is
Answer:
Step-by-step explanation:
From the set of 100 with 10 defective microprocessors, the probability of picking a defective one is;
10/100 = 1/10
From the set of 99 remaining and 9 defective microprocessors, the probability of picking a defective one is;
9/99 = 1/11
From the set of 98 remaining and 8 defective microprocessors, the probability of picking a defective one is;
8/98 = 4/49
From the set of 97 remaining and 7 defective microprocessors, the probability of picking a defective one is;
7/97
Adding all 4 probabilities together, we get;
1/10 + 1/11 + 4/49 + 7/97 = 0.345 or 34.5%
Answer:
The proof is explained in step-by-step explaination.
Step-by-step explanation:
Circumcenter is the point at which the perpendicular bisector of sides of triangle intersects inside the circle.
This points lies inside the triangle as well as circle and the vertices of triangles lies on the circle. As a result the distance from circumcenter and vertices is called to be radius of the circle which is always equidistant from the center.
Hence, circumcenter is equidistant from the vertices of a triangle.
Answer:
15 dollars
Step-by-step explanation:
I believe this is it
