Nina is excited because her grandfather in New Orleans is going to teach her how to make pralines! He makes 4 pralines for each cup of pecans he uses.

There is a proportional relationship between the amount of pecans (in cups) Nina's grandfather uses, x, and the number of pralines he makes, y.

Graph this relationship. Select two points to draw a line.

The proportional relationship is 4

The line is:  y = 4x

The first point is:  (0, 0)

The second point is:  (1, 4)

Step-by-step explanation:

Step 1:  Find the proportional relationship

x is pecan cups -> 1 cup

y is number of pralines -> 4 pralines

To find the relationship, use the the y value over the x value.

y value / x value

4 / 1

4 is the slope

Step 2:  Find a line

The line is y = 4x

To find a point, use 0 for x to get y

y = 4(0)

y = 0

(0, 0) is the first point

To find another point, use 1 for x to get y

y = 4(1)

y = 4

(1, 4) is the second point

Graph Below:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.