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Talja [164]
2 years ago
11

Match the following equation to the correct situation.

Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Answer:

The correct answer is option B and D.

Step-by-step explanation:

A. Shawn owed 40% of his tuition bill, b, after paying $6.00

= 40%of (b-6)

B. The amount donated to the school was 40% more that $6.00.

Amount donated to the school = b

b=6+40% of b

C. The cost for a coat was 40% of the sum of b and $6.00.

= 40%(b+6)

D. Summer paid $6.00 more than 40% of b.

Amount by summer = x

= 40%b+6

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3 years ago
Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.
Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

(x,y)\rightarrow (-y,x)

The corresponding sides of image A"B"C" are smaller than the preimage ABC.  

k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}

Since k<0, therefore the transformation shows the reduction. The dilation rule is

(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)

A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)

B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)

C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)

Option B is correct.

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3 years ago
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