The figures are similar. Find x. The ratio of the perimeters is 7 : 10 how do I find x

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.

4 0

3 years ago

Read 2 more answers

Solve the given triangle by finding the missing angle and other side lengths.

Ne4ueva [31]

Answer:

∠ABC= 180° -21° -37° (∠ sum of triangle ABC)

∠ABC= 122°

Using sine rule,

$\frac{AB}{sin21°} = \frac{200}{sin122°}$

AB= 200(sin21°)/sin 122°

AB= 84.5 units (3 s.f.)

$\frac{BC}{sin37°} = \frac{200}{sin122°}$

BC= 200(sin37°)/ sin122°

BC= 142 units (3 s.f.)

5 0

3 years ago

Please help me I really need it please I will friend request you I will give you points, even though I don't have some right now

guapka [62]

Answer:

9.53939 = 9.53 or rounded to 9.54

Step-by-step explanation:

5 0

3 years ago

Why you are enjoy math it makeing me angry!?

stealth61 [152]

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Enjoyyyyyyyy

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i.d.k :)

3 0

2 years ago

There are 18 streetlights evenly spaced on a

Stells [14]

Answer:

144 streetlights

Step-by-step explanation:

1.5 is equivalent to 1/2

it takes 8- 1/2's to equal 4 whole miles

18x8= 144

3 0

4 years ago