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Vaselesa [24]
4 years ago
10

F m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D. Which property is shown

Mathematics
2 answers:
Elenna [48]4 years ago
7 0
Substitution property?
Elodia [21]4 years ago
7 0

Answer: It is the property of "Substitution property of Equality".

Step-by-step explanation:

Since we have given that

m∠A = m∠B -------------------(1)

and

m∠A + m∠C = ∠D -------------------------(2)

We will put the equation (1) in equation (2), we get that

m∠B + m∠C = ∠D

It is the property of "Substitution property of Equality":

In this property, if we have two values which are congruent, then we put the value of one value in other equation by substituting in place of one value.

Hence, it is the property of "Substitution property of Equality".

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Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)
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\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

\sf{y-y_1=m(x-x_1)}

Substitute 10 for y₁, 6 for m and 4 for x₁:-

\sf{y-10=6(x-4)}

On simplification,

\sf{y-10=6x-24}

Adding 10 to both sides results in:-

\sf{y=6x-14}

So we conclude that Option A is correct.

<h3>Good luck.</h3>

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7 0
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