Find the missing segment in the image below

Answers:

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Explanation:

I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.

Your teacher gave you this info:

These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.

Since the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3

In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.

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Use this scale factor to help determine the missing length ED.

(ED)/(AB) = scale factor

(ED)/(AB) = 1/3

(ED)/(3.3) = 1/3

ED = (1/3)*(3.3)

ED = 1.1

Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3

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While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.

This means

DF = BC - 3.2

DF = x - 3.2

Then we can say,

(DF)/(BC) = scale factor

(x-3.2)/(x) = 1/3

3(x - 3.2) = x*1

3x - 9.6 = x

3x - x = 9.6

2x = 9.6

x = (9.6)/2

x = 4.8

So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

Answer:

CIRCUMFERENCE OF CIRCLE IS 2πr.

=2*3.14*6mi=results be the Answar

I think you tried copy pasting the thing in here. usually written equations on tests or whatever don't copy paste well

Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

Answer:

3 + b/6 = 5

solve it too?

b/6 = 2

b = 12

Answer:

is it like

3x+6=5

to solve this

3x+6=5

collect like terms

3x= -6+5

3x= -1

divide both side by 3

3x/3=-1/3

x= -0.3

Step-by-step explanation:

Yes. A translations preserve it's. length, shape,size and orientation. WHY?

Answer:

21.33: 32: 74.67

Step-by-step explanation:

2:3:7

The total is 2+3+7 = 12

Divide 128 by 12

128/12 = 32/3

Multiply each number by 32/2

2*32/3 : 3*32/3  :7*32/3

64/3 : 32 : 224/3

Rounding to the nearest cent

21.33: 32: 74.67

Answer:

There are 72 fligs in 12 flugs

Answer:

answer is 533 because we add all the no.

Answer:

the inequality is 0<x<4

Step-by-step explanation:

(0,4)

Answer:

q = -4   q=2

Step-by-step explanation:

q²+2q-8=0​

Factor

What 2 numbers multiply to -8 and add to 2

4*-2 = -8

4-2 = 2

(q+4)(q-2) =0

Using the zero product property

q+4 = 0  q-2 =0

q = -4   q=2

Answer:

9/8 = n

Step-by-step explanation:

9 = 8n

Divide each side by 8

9/8 = 8n/8

9/8 = n

Answer: 75.4

Step-by-step explanation:

The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.

Answer:

1 / 5

Step-by-step explanation:

Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6

The experimental probability of an event, A is given as :

P(A) = number of times A occurs / total number of trials

Therefore, the experimental probability of getting 2 ;

P(getting 2) = Number of times 2 occurs / total number of trials

P(getting 2) = 2 / 10 = 1/5

Answer:

3/1 times 1/4, 3/2 times 1/2, 9/8 times 2/3

Answer:

1/2 & 3/2

Step-by-step explanation:

1/2 X 3/2 = 3/4

To get this answer, you need to think of two numbers which we can multiply to get 3 and two numbers which we can multiply to get 4.

Answer from Gauthmath

Answer:

C = y - 3x-1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

C = y - 3x-1 is in slope intercept form

The answer is A.

I took the test.

Answer:

-2,-3

Step-by-step explanation:

Answer:

-2 -3

It worked for me on acellus

Step-by-step explanation:

Answer:

360/ 5 is the answer

Step-by-step explanation:

follow me and please follow me

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

Standard form of a quadratic equation: ax^2 + bx + c = 0

4x^2 - 5x + 10 = 2x

4x^2 - 7x + 10 = 0

Hope this helps!

Answer:

y = -x + 15

Step-by-step explanation:

if an item is priced at $9 per item then 6 items are sold.

Thus, the input is 9 while the output is 6.

Thus, we can say; x, y = (9, 6)

4 items are sold for $11 per item. Thus, the coordinate is; (11, 4)

Now,slope is;

m = (y2 - y1)/(x2 - x1)

m = (4 - 6)/(11 - 9)

m = -2/2

m = -1

We know that slope intercept form is;

y = mx + c

Let's try the first point.

Thus;

6 = -1(9) + c

6 + 9 = c

c = 15

Thus, equation of line is;

y = -x + 15

Answer: -3 (option D) is the answer.

(-8)-(-5)= -8+5 = -3

Answer:

48.5

Step-by-step explanation:

53.5

-  5.0

48.5

5 tenths - 0 tenths = 5 tenths (.5)

3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)

the 5 in the tens position becomes a four because one got "borrowed"

4 - 0 = 4 (4)

48.5 is the result

Answer:

98°+62°+6x = 180

160+6x = 180

6x = 180 - 160

6x = 20

x= 20/6

x= 3.33

therefor your answer is 3.33

Answer:

164.33 m^3

Step-by-step explanation:

Mathematically, we have the formula for the volume as;

V = A * h/3

V = 5.8 * 85/3

V = 164.33 m^3

Answer:

1/4

Step-by-step explanation:

b+-sqrt b^2-4ac all over 2a