Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18in2 and 50in2 1. 3 : 5; 9 : 25 2. 9 : 25; 9 : 25 3. 3 : 5; 3: 5 4. 9 : 25; 3 : 5

3. 3 : 5; 3: 5

Step-by-step explanation:

First, let's find the leght of the sides of each octagon.

The area of an octagon is defined by

Replacing the area

Therefore, the side of the first octagon is 1.6 inches long.

Its perimeter is:

Therefore, the side of the second octagon is 3.8 inches long.

Its perimeter is .

Now, let's divide to find each ratio:

(the ratio between sides).

(the ratio between perimeters).

Therefore, the closest ratio is 3. 3 : 5; 3: 5

Similarity ratio will be ratio of sides of two octagon

Now area are in square inches and sides are inches, so side ratio will be given by square roots of area

So first simplify 18: 50. For that we divide ratio by greatest common factor they have. Greatest common factor in 18 and 50 is 2. So divide 18 and 50 by 2

9 : 25

Now square root it

3 : 5

so similarity ratio will be 3 : 5

Similarly units for perimeter is in inches and that of area is in

so ratio of perimeter will be given by square roots of that of area

so ratio of perimeter will be

3 : 5

So ratio of perimeter will be 3 : 5

So we got similarity ratio as 3 : 5 and perimeter ratio as 3 : 5

so choice (3) is the right answer here

answer: i can’t tell you that

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be