In the figure, angle DEF is 34x + 11, angle DEG is 2x + 24, and angle GEF is 3x + 12. The value of x is ___.

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

In a class, there are 12 girls. if the ratio of boys to girls is 5: 4 how many boys are there in the class

Which inequality has a dashed boundary line when graphed ?