Andy joins a social networking site. after day three, he has 25 friends; after day eight, he has 40 friends. write the equation to show the number of friends he will have on day 18 if he continues to add the same number of friends each day.

Point slope intercept form: The equation for line is given by; ......[1] ; where m is the slope and a point on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

Substitute the given values we get;

= 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

Using distributive property;

Add 25 on both sides, we get;

Simplify:

y =3x + 16

if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

so what is the question

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq