there are three blanks that need answers! The tables show the proportional relationship between two quantities. Write the constant of proportionality for each table.

A table showing pairs of shoes, X, and cost in dollars, Y. 1 pair costs sixty-five dollars. 2 pairs cost one hundred thirty dollars. 3 pairs cost one hundred ninety-five dollars. 4 pairs cost two hundred sixty dollars. A table showing number of hours, X, and distance traveled in miles, Y. After 1 hour, fifty miles were traveled. After 2 hours, one hundred miles. After 3 hours, one hundred fifty miles. After 4 hours, two hundred miles. A table showing the number of feet, X, and the number of inches, Y. 2 feet is twenty-four inches. 4 feet is forty-eight inches. 6 feet is seventy-two inches. 8 feet is ninety-six inches.
(A) The constant of proportionality is
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(B) The constant of proportionality is
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(C) The constant of proportionality is
.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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