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Answer:
2 / 77
Step-by-step explanation:
Each number appears 3 times in the urn.
After picking any number, the number picked will appear only two more times in the urn, and the total slips of paper will be 77.
So for any first number we pick, the probability of the second number picked being the same number as the first pick is the number of times the same number appears in the urn (2) over the total number of slips in the urn (77):
Probability = 2 / 77
Answer:
x = 14
Step-by-step explanation:
if the triangles are similar then
16/24 = x/21 cross multiply expressions
336 = 24x divide both sides by 24
14 = x
As per the problem, we have been asked to find the name of the theorem which explains why the circum-center is equidistant from the vertices of a triangle
A.Vertical Angles Theorem:
The vertical angle theorem is about the angles formed when two straight lines cut each other. Hence this is not the correct option
B.Concurrency of Perpendicular Bisectors Theorem
Perpendicular bisectors passing through the same point called the circum-center of the triangle. The point of intersection is always equidistant from the endpoints.
Hence theorem "B.Concurrency of Perpendicular Bisectors Theorem" explains why the circumcenter is equidistant from the vertices of a triangle.
C. Concurrency of Angle Bisector Theorem:
This gives you the incenter of the triangle.
D. Alternate Interior Angles Theorem
This theorem states that if two parallel lines are intersected by a line then the alternate interior angles are congruent.
Answer:
Option A is correct.
Step-by-step explanation:
2x+3y=25
4x+2y=22
Option A
2y = 22-4x
y = 11 -2x
Option B
2x = 25 -3y
x = 25/2 -3/2y
Option C
3y = 25 - 2x
y = 25/3 -2/3x
Option D
4x = 22 - 2y
x = 22/4 -2/4y
x = 11/2 -1/2y
In Option B,C and D we have fractions and for substitution the calculations will be complex.
But Option A has no fractions and solving by putting the value of y in equation 1 is easy.
So, Option A is correct.