House
2 answers:
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Answer:
Charlie can buy 14 hats at the sale price
Step-by-step explanation:
Let
h ----> the sale price of the hat
x ---> the regular price of the hat
we know that
----> equation A
so
Two hats at the regular price is equal to multiply 2 by x
Multiply by 2 equation A both sides
2 hats at the regular price cost the same that 14 hats at the sale price
therefore
Charlie can buy 14 hats at the sale price
Answer:
no it isn't
Step-by-step explanation:
if you find all of the angles using the angle addition postulate and supplementary angles rule (add to 180 degrees), you will be left with an angle that is not able to satisfy either of these rules, 7560
Answer:
The sequence of transformations applied to shape I is:
a. reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5
Step-by-step explanation:
- Let us consider a point a (2,1) in shape I .
Now when this point is reflected across x-axis the point is transformed to:
(2,-1)
( Since the rule of transformation is:
(x,y) → (x,-y) )
Now again when this point is reflected across the y-axis the point is transformed to:
(-2,-1)
( Since the rule of transformation is:
(x,y) → (-x,y) )
Now when this point is dilated by a scale factor of 0.5 the point that is obtained is:
(-1,-0.5)
( Since, the rule of transformation is:
(x,y) → (0.5x,0.5y) )
Hence, A (2,1) → A' (-1,-0.5)
- Similarly we will consider one more point on the shape I i.e. B(3,1)
Now when this point is reflected across x-axis the point is transformed to:
(3,-1)
( Since the rule of transformation is:
(x,y) → (x,-y) )
Now again when this point is reflected across the y-axis the point is transformed to:
(-3,-1)
( Since the rule of transformation is:
(x,y) → (-x,y) )
Now when this point is dilated by a scale factor of 0.5 the point that is obtained is:
(-1.5,-0.5)
( Since, the rule of transformation is:
(x,y) → (0.5x,0.5y) )
Hence, B (3,1) → B' (-1.5,-0.5)
Similarly all the other points of shape I could be mapped to obtain the shape II.
Hence, option: a is correct.
