Consider the diagram below. Which of the following statements is correct?
2 answers:
Answer:
A
Step-by-step explanation:
The diagram shows two parallel lines XY and WV.
1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.
2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.
AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
So, by AA similarity
You might be interested in
Let's think of the problem as follows.
Write all the 4-digit numbers that can be formed using the digits from 1 to 9, without repetition, in pieces of paper, and put them in a bag. What is the probability of picking the 4-digit number 1234, among these numbers.
The connection of the 2 problems is as follows:
The 4-digit number, for example 5489, represents drawing first 5, then 4, then 8, then 9 , in the original question.
we did not allow repetition, because for example the number 8918 would represent drawing 8, then 9, then 1 then 8 (again!!), which is not possible, so we lose the connection between the problems.
So there are in total 9*8*7*6= 3024 4-digit numbers, with non-repeating digits.
One of these numbers is 1234 (representing drawing 1, then 2, then 3, then 4)
among these 3024 numbers, the probability of picking 1234 is
We could have solved this problem also as :
P(drawing 1, 2, 3, 4 in order)=
Answer:
Write all the 4-digit numbers that can be formed using the digits from 1 to 9, without repetition, in pieces of paper, and put them in a bag. What is the probability of picking the 4-digit number 1234, among these numbers.
The connection of the 2 problems is as follows:
The 4-digit number, for example 5489, represents drawing first 5, then 4, then 8, then 9 , in the original question.
we did not allow repetition, because for example the number 8918 would represent drawing 8, then 9, then 1 then 8 (again!!), which is not possible, so we lose the connection between the problems.
So there are in total 9*8*7*6= 3024 4-digit numbers, with non-repeating digits.
One of these numbers is 1234 (representing drawing 1, then 2, then 3, then 4)
among these 3024 numbers, the probability of picking 1234 is
We could have solved this problem also as :
P(drawing 1, 2, 3, 4 in order)=
Answer: