If I have a 93% as my subject grade and I get an 68% percent on a quiz as a quiz grade, what is my final subject grade.
1 answer:
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B
calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
=
=
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
=
=
=
The 2 lines are perpendicular because their slopes are negative reciprocals
Since corresponding angles of similar triangles are congruent and triangles QRT and MRN are congruent, then:
Now, notice that angles RMN and RQT are corresponding angles, then, using the corresponding angle theorem we get:
Answer: Second option.