Answer:
57
Step-by-step explanation:
exterior angles add up to 360 so'
9x+1+5x+12+10x-37
24x-24=360
24x=384
x=16
10(16)-37
160-37
123
180-123
= 57
2(x-3)=2x-6 This is distributive property.
2(x-3)= 2x - 2*3 = 2x-6
9514 1404 393
Answer:
C. (9, 18)
Step-by-step explanation:
Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...
(9, 15)
Then the translation up by 3 will give you the image coordinates ...
(x, y) ⇒ (x, y+3)
(9, 15) ⇒ (9, 15 +3) = (9, 18)
The coordinates of R' are (9, 18), matching choice C.
_____
<em>Comment on multiple choice answers</em>
As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.
Answer:
368 cans.
Step-by-step explanation:
Volume of 1 can = π r^2 h.
Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.
So V = π * 3^2 * 12
= 108π cm^3.
The tank hold 125 liters
= 125,000 cm^3, so:
Number of cans that could be filled = 125000/ 108 π
= 368.4.
Answer:
Step-by-step explanation:
731² - 631² is the difference of squares.
731² - 631² = (731+631)(731-631) = 1362×100
therefore, 731² - 631² is divisible by 100