Answer: Option B
Detailed Explanation:
In the figure in Option B, we are given 2 corresponding angles as equal in both triangles. We are also given one corresponding sides as equal.
Therefore, we can prove the congruency by AAS (Angle-Angle-Side).
Answer:
Option D
Step-by-step explanation:
<u>--------------------------</u>
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Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
Answer:
- (-3, 5), (4, 1), (-1, -5)
Step-by-step explanation:
270° counterclockwise rotation is same as 90° clockwise
<u>The rule is:</u>
<u>Given points:</u>
- A(-5, -3), B(-1, 4), C(5, -1)
<u>Translated points:</u>
- A' = (-3, 5)
- B' = (4, 1)
- C' = (-1, -5)
