Answer:
Step-by-step explanation:
Summation means that you are adding together all the numbers that result from putting in the numbers 5-11 for i:
(-7 - 6(5)) + (-7 - 6(6)) + (-7 - 6(7)) + ( -7 - 6(8)) + ( -7 - 6(9)) + ( -7 - 6(10)) + ( -7 - 6(11)) which gives you the numbers:
-37 + -43 + -49 + -55 + -61 + -67 + -73 = -385
Answer: 11 degrees
Step-by-step explanation:
Answer:
Ff
Step-by-step explanation:
Answer:
A = 0.2264
B =0.9681
C = 0.9891
Step-by-step explanation:
The concept of conditional probability is applied here, probability been the likelihood of an event occurring. two events A and B are said to be mutually exclusive is one event precludes the happening of the other event i.e one is dependent on the other one occurring.
Conditional probability on the other hand is the happening of an event taking into consideration that an event had already happened.
Let P(A) and P(B) be the probability of event and B occurring.
P(A and B) is the probability of both A and B = P(A) x P(B)
P(A or B) = is the probability of either A or b = P(A union B)
as such, P(A union B) = P(A) + P(B) - P(A and B).
The steps and appropriate explanation is as shown in the attached file.
Answer: The correct option is 4, i.e., translation.
Explanation:
It is given that the triangle DEF is congruent to GHJ by the SSS theorem.
From the given figure it is noticed that the triangle DEF and GHI are isosceles triangle.
Reason for correct option:
In transition the side and angles of the shape are not effected and the figure transfers from one place to another place without making any other change.
Since the both triangle are congruent and the position of all sides and angles are same, therefore option 4 is correct.
Reason for incorrect option:
In dilation the size of the figure is either stretched or compressed according to the scale factor k. But in the given figure the size of both triangles are same it means option A is incorrect.
In reflection the distance of all the point in preimage and all the image are same from the central line. Any central line does not exist in given figure. SO, the option B is incorrect.
In rotation the side length and angles are not affected but the position are not same, therefore the option C is incorrect.
