The graph shows a proportional relationship between x and y. find the constant of proportionality (r) and write an equation to represent the relationship.

r=3

Step-by-step explanation:

We are given that a graph.

The graph shows  a proportional relationship between x and y.

From given graph  we can see that when x increases then y is also increases.

Therefore,

Where r=proportionality constant

x=5 and y=15

Substitute the values then we get

Substitute the value of r

Then, the equation to represent the relationship is given by

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.