If segment PD is parallel to segment CR then triangle PDX is similar to triangle CRX, due to angle PXD and angle CXR being congruent by the vertical angle theorem, and angle PDX and angle CRX being congruent by the alternate interior angle theorem, these 2 triangles are similar by the A.A similarity postulate.
♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️♂️
Answer:
A. Use the distributive property.
Step-by-step explanation:
We cannot use the distribute property because there are not parentheses to distribute a number through.
5x + 15 + 2x = 24 + 4x
We can collect the terms, and isolate the variable
The cost would be $4.74. 3.95 times 0.2 is 0.79. Add that to 3.95 and get 4.47
There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

Therefore, there are 2917215 possible 9 member tournament committees