Drag an answer to each box to complete this paragraph proof. given: ∠abc and ∠cbd are complementary angles and m∠abc=25° prove: m∠cbd=65°

It's given that <ABC and <CBD are Complementary angles.

Sum of Complementary angles is equal to 90 degrees.

So, m<ABC + m<CBD = 90 degrees using the defination of complementary angles.

It is also given that m<ABC = 25 degrees.

Using substitution property of equality, you have 25°+ m<CBD = 90 degrees.

On subtracting 25 from both sides, we get  25-25+ m<CBD = 90-25.

m<CBD = 65 degrees.

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:

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