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borishaifa [10]
3 years ago
10

a proportional relationship is represented on a graph with a line that had a slope of 65. what is the unit rate of the relations

hip?
Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

65

Step-by-step explanation:

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Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle
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If u and v are <span>supplementary angles, then

u+v=180^{\circ}~~~~~\mathbf{(i)}


The ratio of u and v is \dfrac{7}{13}:<span>

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Substitute \mathbf{(ii)} into \mathbf{(i)}:

\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}


From \mathbf{(i)}, we find the measure of u:

u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}

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What are endpoints of a line segment that divides the triangle defined by the vertices (2, 2), (8, 0), and (8, 4) into two congr
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