IM 7.7.5 Practice: Using Equations to Solve for Unknown Angles

Segments [math]AB[/math], [math]DC[/math], and [math]EC[/math]  intersect at point [math]C[/math]. Angle [math]DCE[/math] measures [math]148^\circ[/math].[br]Find the value of [math]x[/math].[br][br][img]data:image/png;base64,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[/img]
Line [math]l[/math] is perpendicular to line [math]m[/math]. Find the value of [math]x[/math] and [math]w[/math].[br][img]data:image/png;base64,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[/img]
If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle? Explain your reasoning.
[size=150]For each inequality, decide whether the solution is represented[/size] [math]x<4.5[/math] by [math]x>4.5[/math].[br][br][math]-24>\text{-}6(x-0.5)[/math]
[math]\text{-}8x+6>\text{-}30[/math]
[math]\text{-}2(x+3.2)<\text{-}15.4[/math]
[size=150]A runner ran [math]\frac{2}{3}[/math] of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.[/size][br][br][br]How long did it take to run the entire race?[br]
How many minutes did it take to run 1 kilometer?
Jada, Elena, and Lin walked a total of 37 miles last week. Jada walked 4 more miles than Elena, and Lin walked 2 more miles than Jada. The diagram represents this situation:[br][br][img]data:image/png;base64,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[/img][br][br]Find the number of miles that they each walked. Explain or show your reasoning.
Select all the expressions that are equivalent to [math]\text{-}36+54y-90[/math]
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Information: IM 7.7.5 Practice: Using Equations to Solve for Unknown Angles