Why is circle 1 similar to circle 2?

circle 1: center (−1, 10) and radius 4.8

circle 2: center (−1, 10) and radius 1.2

a-circle 1 is a dilation of circle 2 with a scale factor of 4.

b-circle 1 and circle 2 have the same center.

c-circle 2 is a dilation of circle 1 with a scale factor of 3.6.

d-circle 1 is congruent to circle 2.

Option A.

Step-by-step explanation:

we know that

The circle 1 and circle 2 have the same center

The ratio of its radius is equal to the scale factor

The scale factor is equal to

That means

The radius of circle 1 is 4 times the radius of circle 2

therefore

Circle 1 is a dilation of circle 2 with a scale factor of 4

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.