Susan measures the length of some items in feet but needs to convert them all to inches. She looks up each measurement in feet online to find the correct number of inches.
There is a proportional relationship between the number of feet, x, and the number of inches,
y.
x (feet) y (inches)
4.
48
6
72
7
84
8
96
What is the constant of proportionality? Write your answer as a whole number or decimal.
inches per foot

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answer:

your answer is: c. 196 7/8 in^3.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.