Read the following statement:
2 answers:
Answer: EF overbar congruent to GH overbar
Step-by-step explanation:
The given statement : Line segment EF is congruent to line segment GH.
In geometry , we can represent the name of a line segment by putting a bar or line on the name of the line.
For example we can write "Line segment AB" as or AB overbar.
Therefore, for the given statement "Line segment EF is congruent to line segment GH", the equivalent statement will be :
" EF overbar congruent to GH overbar"
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Caiden's balance after 5 years would be $831
<u>Explanation:</u>
Given:
Principal, p = $475
Rate of interest = 3.8%
time, t = 15 years
Balance after 15 years = ?
We know:
where,
n = number of compounding periods
r = rate of interest
t = number of years
Substituting the value;
Therefore, Caiden's balance after 5 years would be $831
The latest sentence of proof by using the triangle congruence method we can conclude that f+e=c, .
Given that ΔABC and ΔCBD are right triangles
Therefore, one angle of both triangle is of 90°
So, ∠B is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.
Consequently, ∠A is same in both triangles. Hence, by suing the Angle-Angle theorem rule we can conclude that both ΔABC and ΔCBD are similar.
Similarly, When two triangles are similar then their corresponding angles are equal and their corresponding sides are also equal.
Therefore , the two proportions can be rewritten as
a² = cf ( equation 1 )
b² = ce ( equation 2 )
By adding b² on both side of equation 1 then we can write equation 1 as
Because b² and ce are equal and substitute on the right side of equation 1
Using the converse of distributive property in above equation then we get a new equation. That is,
Because distributive property is a(b+c)=a(b+ac)
a² + b² = c²
Because e + f = c²
To learn more about triangle congruency: brainly.com/question/1675117
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