Figures of same shape and size are similar .Two circles C1&C2 will be similar.
Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.
The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.
2) Area of sector = 
÷360.
Where α is the angle made at center.
Area of given sector= π(12)(12)(60)÷360 =24π.
Answer:
546
Step-by-step explanation:
If you divide 100 by 4 which equals 25 that would be 25mins for one ugly sweater
If you times by 2 that equals 50
If 6=4+2 then you add 100 and 50 together which makes 150.
Answer:
The value of x would be 
or 
Step-by-step explanation:
Given,
x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,
Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,
⇒ 0.1x + 0.02y = 0.05(x+y),
0.1x - 0.05x = 0.05y - 0.02y
0.05x = 0.03y
Now, resultant mixture is z ton,
i.e. 
From equation (1),
Answer:
$12.92
Step-by-step explanation:
The total being split 3 ways is ...
$32.85 × (1 + 0.18) = $38.76
So each pays ...
$38.76 / 3 = $12.92 . . . amount each person pays
