Answer:
Step-by-step explanation:
To polygons are said to be similar if all the corresponding angles of given polygons are equal.
In the given figure, it can be seen that in quadrilateral FSHB and quadrilateral KTWJ all the corresponding angles are equal.
∠F=∠K
∠S=∠T
∠H=∠W
∠B=∠J
Therefore, The given polygons are similar.
Hence,
Answer:
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.