An interior designer sketches a design for a rectangular rug. the dimensions of a sketch are 4 inches by 7.5 in. the dimensions of the actual rug will be ten times the dimensions of the drawing, so the scale of the drawing is 1: 10. how many times the area of the sketch is the actual area of the rug? which figures in the problem are similar? what are the dimensions? how can proportions you find the dimensions of the actual rug?

3,000 in.

(4 x 10) + (7.5 x 10) = 3000

The dimensions on the sketch are 10 times less than the actual rug.

40 in., 7.5 in.

The drawing lengths are ten times more, so you just multiply the dimensions by 10, and then multiply the product you find out to find the actual area of the rug.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!