Solve a system of equations using substitution: word problems

lina is comparing the cost of a fresh lobster dinner at two different restaurants. the first restaurant charges $39 for the meal, plus $7 per kilogram for the lobster she picks. at the second restaurant, lina would pay $2 per kilogram for the lobster, in addition to $44 for the meal. lina realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. how much would lina pay for her dinner? what is the weight?

dinner would cost $ at either restaurant if lina's lobster weighed kilograms.
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Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Explain why the two figures below are not similar. use complete sentences and provide evidence to support your explanation. (10 points) figure abcdef is shown. a is at negative 4, negative 2. b is at negative 3, 0. c is at negative 4, 2. d is at negative 1, 2. e

Look at attachment. has all info needed. need