Answer:
Option 1: triangle HFG is congruent to triangle KIJ
Step-by-step explanation:
F and I are same as they are on 90 degrees.
In figure 1, from I to K is the height of the triangle.
In figure 2, from F to H is the height of the triangle.
Therefore, IK is congruent to FH
In figure 1, I to J is the base of the triangle from 90 degrees.
In figure 2, F to G is the base of the triangle from 90 degrees.
Therefore, IJ is congruent to FG
Therefore, triangle HFG is congruent to triangle KIJ.
The first option is correct.
!!
Well, the enlargement would be 3, because 15/5 is 3. So, the new measurements are no 9x15in.
Answer:
Four hundred Thirty-three and thirty-eight hundredths
Step-by-step explanation:
the four is four hundred
the two three's after the four are thirty-three
and the three and eight after the decimal are thirty-eight hundredths
10, because 10 does not need to be rounded to the nearest 10 if the number is already 10, but if the number was 17 then rounding to the nearest 10 would be 20
Using the concept of probability and the arrangements formula, there is a
0.002 = 0.2% probability that the first 8 people in line are teachers.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.
The number of possible arrangements from a set of n elements is given by:

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The desired outcomes are:
- First 8 people are teachers, in <u>8! possible ways.</u>
- Last 4 are students, in <u>4! possible ways.</u>
Thus, 
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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

The probability is:

0.002 = 0.2% probability that the first 8 people in line are teachers.
A similar problem is given at brainly.com/question/24650047