Mathematics, 29.08.2019 20:30 hugbug2554

Part a
start by creating two different circles:
create a point, and label it a. to make the remainder of the activity easier, choose integers for the x and y coordinates of point a.
create a circle with its center at point a and with a radius of your choice. to make the remainder of the activity easier, choose an integer value for the radius.
create another point, and label it b. to make the remainder of the activity easier, choose integers for the x and y coordinates of the point.
create a circle with its center at point b and with a radius of your choice that is different from the radius chosen for circle a. to make the remainder of the activity easier, choose an integer value for the radius.
take a screenshot of the two circles you created, save it, and insert the image in the space provided.
part b
recall what you know about similarity. if circle b is similar to circle a, what must exist?
part c
what is the difference of the x-coordinate of point a and the x-coordinate of point b?
part d
in terms of rigid transformations (reflections, rotations, and translations), what does this difference represent?
part e
what is the difference of the y-coordinate of point a and the y-coordinate of point b?
part f
in terms of rigid transformations (reflections, rotations, and translations), what does this difference represent?
part g
what is the ratio of the radius of circle a to the radius of circle b?
part h
in terms of nonrigid transformations, what does this ratio represent?
part i
write a sequence of dilations and translations that maps circle b onto circle a.
part j
what is the relationship between circle a and circle b?
part k
you have established that circles a and b are similar. what conclusion can you make about any two given circles?
part l
for assurance that the similarity proof can be generalized to all circles, try more examples of creating two circles and determining the similarity transformations that map one circle onto the other circle. take a screenshot of two such circles, labeled c and d, that are different from the ones created in part a, save it, and insert the image in the space provided.
part m
write a sequence of dilations and translations that maps circle d onto circle c and that shows the two circles you created are similar.

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Answer from: Quest

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.

Point z is equidistant from the sides of δrst. which must be true? ctzaszaszzsb

Answer from: Quest

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation:

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

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 = $\frac{1-0}{3-0} = \frac{1}{3}$ .

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

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

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

$y> \frac{1}{3}x$ .

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

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

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

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

the answer is c.

step-by-step explanation:

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Part a
start by creating two different circles:
create a point, and label it a. to make...

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