The vertices for the dilated image can be found by multiplying the coordinates of the original image by the scale factor. In this problem, the scale factor is 1/3.
(0,0) ⇒ 0 x 1/3 = 0 ; 0 x 1/3 = 0 ⇒ (0,0)
(27,0) ⇒ 27 x 1/3 = 9 ; 0 x 1/3 = 0 ⇒ (9,0)
(36,30) ⇒36 x 1/3 = 12 ; 30 x 1/3 = 10 ⇒ (12,10)
(9,30) ⇒ 9 x 1/3 = 3 ; 30 x 1/3 = 10 ⇒ (3,10)
Answer is choice D. (3,10)
The two small sides of the triangle should add up and equal to the largest side.
2 + 3 = 5, 5 is smaller than 6, so the answer is NO because, at least there is a side that has the number close to each other, but if it is too far away, then 2 in can't reach to 6 in. to formed a triangle
So the answer is No
Hoped this will helped you!
If you don't believe me, draw the triangle on your paper and you'll see:)
I see from the given data that each additional carpet after the first costs $50 each to have cleaned.
The first costs $125. Supposing we subtract $50 from that, we get $75. So, it sounds like it costs $75 just to get the carpet cleaners to your house.
The rule would then be $75 + $50x, where x : {1, 2, 3, 4, .... }
Let's check this result. Suppose x = 1. Will the charge be $125, as show in the table? $75 + $50(1) = $125. Correct.
Suppose x = 4. Will the charge be $275 as shown in the table?
$75 + $50(4) = $275. YES
