6) Which of the following have the same slope? a) 29^circ and (1)/(2) b) 2.2 and 65^circ c) (7)/(11) and 65% d) 9:8 and 112.5%

To determine which of the given pairs have the same slope, we need to convert all angles and percentages to decimal form and compare them.<br /><br />a) $29^{\circ}$ and $\frac{1}{2}$:<br />- $29^{\circ}$ is already in angle form.<br />- $\frac{1}{2}$ is already in fraction form.<br /><br />b) 2.2 and $65^{\circ}$:<br />- 2.2 is already in decimal form.<br />- $65^{\circ}$ is already in angle form.<br /><br />c) $\frac{7}{11}$ and $65\%$:<br />- $\frac{7}{11}$ is already in fraction form.<br />- $65\%$ can be converted to decimal form by dividing by 100, which gives $0.65$.<br /><br />d) $9:8$ and $112.5\%$:<br />- $9:8$ can be converted to decimal form by dividing 9 by 8, which gives $1.125$.<br />- $112.5\%$ can be converted to decimal form by dividing by 100, which gives $1.125$.<br /><br />Comparing the decimal forms:<br />- a) $29^{\circ}$ and $\frac{1}{2}$: Not the same.<br />- b) 2.2 and $65^{\circ}$: Not the same.<br />- c) $\frac{7}{11}$ and $65\%$: Not the same.<br />- d) $9:8$ and $112.5\%$: Same.<br /><br />Therefore, the pair that has the same slope is d) $9:8$ and $112.5\%$.