GIVEN ∠ABC ≅ ∠DEF ∠GHI ≅ ∠DEF m∠ABC=m∠GHI
1 answer:
By the substitution property of equality, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)
<h3>Substitution property of equality</h3>The <em>substitution property of equality</em> states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation
From the given information, we have that
∠ABC ≅ ∠DEF
and
∠GHI ≅ ∠DEF
By the substitution property, ∠ABC can be substituted for ∠DEF in the second equation
That is,
∠GHI ≅ ∠ABC
∴ ∠ABC ≅ ∠GHI
Hence, measure of ∠ABC ≅ measure of ∠GHI (m∠ABC=m∠GHI)
Learn more on Substitution property of equality here: brainly.com/question/2279838
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Answer:
The original fraction is .
Step-by-step explanation:
Solution,
Let the fraction be''.
Where 'x' is the numerator and 'y' is the denominator.
Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.
So, framing the above sentence in equation form, we get;
On using cross multiplication method, we get;
Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.
So, framing the above sentence in equation form, we get;
On using cross multiplication method, we get;
Now Substituting the equation 1 in equation 1 we get;
Now Substituting the value of x in equation 1 we get;
Hence The original fraction is .