Tell whether the relationship is a proportional relationship. Explain why orwhy not.

A graph is proportional if a straight line can be drawn through the points and it crosses through the origin. A proportional relationship for objects occurs when the object number increases or decreases and a value of the object increases or decreases at a consistent rate.

1. C

A line can be drawn through the points, however it would not cross through the origin.

2. A

As the number of hours increases by 1, the dollars earned increases by $12.50. This increase in dollars earned is consistent across all increases in hours.

3. 4 gallons of milk for $13.16, 5 gallons of milk for $16.45, 9 gallons of milk for $29.61

If we check all of the options by multiplying the number of gallons by the given price per gallon, the following relationships are proportional to the original.

Hope this helps!! :)

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.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.