Given: ZABC is a right angle and ZDEF is a right angle. Prove: All right angles are congruent by showing that ZABC – ZDEF.
What are the missing reasons in the steps of the proof?
LABC, ZDEF are
right angles
m_ABC = 90°
m_DEF = 90°
m ABC = m_DEF
LABC DEF
Given
A
B
С
A:
B:
С:

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x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: