There is no congruence between the triangles based on the given information. In general, two sides and an angle not between them are insufficient to specify the triangle completely. In this case, the angles that are congruent are adjacent to non-corresponding sides, so even if SSA correspondence were sufficient to ensure congruence, it would not be sufficient in this case.
The appropriate choice is
... none
Solution:
we are given that
A number picked at random from the numbers 1 through 15 is prime.
As we know the number between 1 and 15 which are primes are listed below
2,3,5,7,11,13.
Here total number of favourable outcomes are 6.
The numbers 1 through 15 are as below:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
Here total number of possible outcoes are 15.
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4
The value of y is 50
The angle measurement of angle AOB is 100°
<h3>Circle Geometry </h3>
From the question, we are to determine the value of y and the measure of angle AOB
From one the circle theorems, we have that
Angles in the <u>same segment</u> are equal
In the given diagram, x° and y° are angles in the same segment
∴ x° = y°
From the given information,
x = 50
∴ y = 50
Hence, the value of y is 50
Also, from another circle theorem,
Angle at the <u>center</u> is twice the angle at the <u>circumference</u>
∴ ∠AOB = 2x° = 2y°
Then,
∠AOB = 2×50°
∠AOB = 100°
Hence, the angle measurement of angle AOB is 100°
Learn more on Circle Geometry here: brainly.com/question/17074363
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Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8