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6. △efg≅△mno, what is m∠m? 7. what is the value of x? 140 - 2x (3x - 1)…

Question

  1. △efg≅△mno, what is m∠m? 7. what is the value of x? 140 - 2x (3x - 1)° 8. the point e (-4,-5) is rotated 90° counter - clockwise around the origin, what is the ordered pair of e? 9. evaluate the expression for r = (-17) 3r-(r + 36)= 10. triangle abc is reflected over the x - axis. what are the coordinates of triangle abc if the ordered pairs are a(-3,9), b(-1,1) and c(3,4)?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the $x -$axis, the new point is $(x,-y)$.

Step2: Find coordinates of $A'$

For point $A(-3,9)$, after reflection over the $x -$axis, $x=-3$ and $y$ changes sign. So $A'(-3,-9)$.

Step3: Find coordinates of $B'$

For point $B(-1,1)$, after reflection over the $x -$axis, $x = - 1$ and $y$ changes sign. So $B'(-1,-1)$.

Step4: Find coordinates of $C'$

For point $C(3,4)$, after reflection over the $x -$axis, $x = 3$ and $y$ changes sign. So $C'(3,-4)$.

Answer:

$A'(-3,-9)$, $B'(-1,-1)$, $C'(3,-4)$