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notsponge [240]
2 years ago
14

Triangle A B C is reflected over side A C and then is dilated to form smaller triangle D E C. Angles B C A and D C E are right a

ngles. Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triangle DEC. Which statements about the two triangles must be true? Select three options. △ABC ~ △DEC ∠B ≅ ∠E 3BC = 2EC 3DE = 2AB 3m∠A = 2m∠D 2m∠A = 3m∠D
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
4 0

Answer:

A. △ABC ~ △DEC

B. ∠B ≅ ∠E

D. 3DE = 2AB

Step-by-step explanation:

Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.

In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:

i. △ABC ~ △DEC

ii. ∠B ≅ ∠E

iii. 3DE = 2AB

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The density of gold is 19.3 g/cm3. A weight of 1 ounce is equivalent to a mass of about 28.35 g. Which of these is closest to th
cluponka [151]

Answer: The side length of the cube is 2.27cm

Step-by-step explanation:

The options are not given, then let's solve this in a general way.

We know that the density of gold is 19.3g/cm^3.

We also know that 1 oz = 28.35g.

And we know the relation:

Density = mass/volume.

Now, let's find the volume of 8 ounces of gold.

First, let's rewrite the density changing the units, from grams to ounces.

We know that:

1 oz = 28.35g

(1 oz/28.35g) = 1.

Then if we multiply the density by this ( that is equal to 1) we can change the units and leave the actual quantity invariant.

d =  19.3g/cm^3 =  19.3g/cm^3*(1 oz/28.35g) = 0.68 oz/cm^3

Now let's use the equation for the density, knowing this time that the mass is 8 ounces.

0.68 oz/cm^3 = mass/volume = 8oz/V

Let's find the value of V

0.68 oz/cm^3 = 8oz/V

V = 8oz/0.68 oz/cm^3 = 11.76 cm^3

Now, we know that this is a cube.

Remember that the volume of a cube of side length L is:

V = L^3

Then we have:

L^3 = 11.76 cm^3

L = ∛11.76 cm^3 = 2.27 cm

The side length of the cube is 2.27cm

8 0
1 year ago
The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure at what
Ilia_Sergeevich [38]

Answer:

4 inches

Step-by-step explanation:

The computation of the scale that should be required to reproduced that fitted on the brochure is

Given that

Length of rectangular park = 4 inches

And the Breadth of rectangular park = 6 inches

As we know that

Area of rectangular park = length × breadth

= 4×6

= 24 square inches

Now the scale that required to reproduced is

= 24 ÷ 6

= 4 inches

5 0
2 years ago
Without plotting any points other than intercepts, draw a possible graph of the following polynomial:
babunello [35]
The first thing to do is find the x-intercepts of the function so that you can plot them. Set the function f(x) to zero and find the values of x.

0 = <span>(x + 8)3(x + 6)2(x + 2)(x − 1)3(x − 3)4(x − 6)
There are 6 intercepts:
x+8=0   ---> x= -8 
x+6=0   ---> x=-6
x+2=0   ---> x=-2
x-1=0    ---> x=1
x-3=0    ---> x=3
x-6=0    ---> x=6

The 6 intercepts are plotted as shown in the picture. The tool I used was Microsoft Excel. This is one possible sketch of the graph. The trend could move in any ways as long as it passes these 6 intercepts.</span>

4 0
2 years ago
Read 2 more answers
Please don't answer just to say "I don't know"<br> Thank you
AlekseyPX

8x+15 = 2x+39

8x =2x+24

6x = 24

x = 24/6 = 4

 angle 4 = 2(4) +39 = 8+39 = 47

 angle 6 = angle 4

angle 6 = 47 degrees

5 0
2 years ago
Read 2 more answers
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RideAnS [48]

Answer:

4.2 days

Step-by-step explanation:

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