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belka [17]
3 years ago
9

Given the figures are similar, calculate the perimeter of the ABCDE.

Mathematics
1 answer:
V125BC [204]3 years ago
6 0
Similar just means that the two figures have the same ratio, so the first thing we are going to look for is the ratio.

We take a side from both figures that are congruent and make it into a fraction.

Side AE= 12
Side IJ = 4

Ratio = 12/4 Simplified to 3.

We already know segment lengths

AE = 12 congruent to BC = 12
ED = 4 congruent to DC =4

All we need to know now is segment BA, this is where we use the ratio of the two figures.

Segment HI is congruent to segment BA.
All we have to do here is multiply segment HI by the ratio to find segment BA.

2 × 3 = 6
So, BA = 6.

Now add all of our segments from the larger figure together!

6 + 12 + 12 + 4 + 4 = 38

Figure ABCDE has a perimeter of 38 in.
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What's the surface area ratio &amp; the volume ratio??<br><br> please help me ASAP!!
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Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = \frac{r_1}{r_2} [r_1 and r_2 are the radii of two circles]

2). Area scale factor = \frac{(r_1)^2}{(r_2)^2}

3). Volume scale factor = \frac{(r_1)^3}{(r_2)^3}

Volume scale factor Or Volume ratio = \frac{V_A}{V_B}

                         \frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}

                         \frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }

                         \frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}

                        \frac{r_1}{r_2}=\frac{6}{7}

Therefore, scale factor = \frac{r_1}{r_2}=\frac{6}{7}

                                      ≈ 6 : 7

Area scale factor Or area ratio = (\frac{r_1}{r_2})^2=(\frac{6}{7})^2

                                                   = \frac{36}{49}

                                                   ≈ 36 : 49

Volume scale factor or Volume ratio = \frac{648}{1029}

                                                             = \frac{216}{343}

                                                             ≈ 216 : 343

4 0
3 years ago
Equivalent expression for 6 (x+y+z)=
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Answer:

6x + 6y + 6z

Step-by-step explanation:

Distribute the 6 to each value in the parenthesis.

7 0
3 years ago
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umka21 [38]

Answer:

Hello! The answer to your question will be below.

Step-by-step explanation:

The answer would be clockwise.

So point k was rotated 90 degrees clockwise.....

Review.....

Question:

Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.

THE DIRECTION OF THE ROTATION WAS CLOCKWISE.

Hope this helps! :)

⭐️Have a wonderful day!⭐️

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Answer:

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3 years ago
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