<span>MNO is similar to GHK by AA Similarity Postulate
Let's start by listing each triangle and the measurements of all three angles. For each triangle, we've been given the measurements of 2 of the angles and the 3 angle will simply be 180 minus the other 2 angles. I assume you can do the subtraction, so I'll simply list each triangle with all three angle measurements.
NMO: 79, 22, 79
GHK: 79, 79, 22
PQR: 20, 79, 81
DEF: 82, 22, 76
And the triangles NMO and GHK are similar to each other since they have the same angles. The order really doesn't matter since it's OK for similar triangles to be rotated or reflected. The key thing to remember in a triangle is that if you've been told what 2 of the angles are, you also know what the 3rd angle is since the sum of the angles of a triangle will always be 180.
So the answer is:
MNO is similar to GHK by AA Similarity Postulate"</span>
688,747,536 ways in which the people can take the seats.
<h3>
</h3><h3>
How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>
There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.
When the whistle blows, each person needs to change to an orthogonally adjacent seat.
(This means that the person can go to the seat in front, or the seats in the sides).
This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.
Now, if we take the options that each seat has, and we take the product, we will get:
P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.
If you want to learn more about combinations:
brainly.com/question/11732255
#SPJ!
Answer:
A) Number of mango trees
B) Percentage of coconut trees = 60%
Total number of trees = 2230 trees
C)number of mango trees = 40% × 2230
D) 892 mango trees
Step-by-step explanation:
A) What is asked is the number of mango trees
B) We are given;
Percentage of coconut trees = 60%
Total number of trees = 2230 trees
C) Number sentence is defined as when we use an equation or inequality to describe an expression using numbers and signs.
We have percentage of coconut trees = 60%.
Thus, percentage of mango trees = 100% - 60% = 40%
In this case, the number sentence is; number of mango trees = 40% × 2230
D) number of mango trees = 40% × 2230 = 892
You put 6 on one side then equal it to 9 with at variable of "X" with it multiplied by 3 to make the thing an equation
