Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE Triangle A B C is shown. Line D E is drawn inside of the triangle and is parallel to side A B. The line forms triangle D C E. We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the

Answer:

m = 4+n

Step-by-step explanation:

Given the expression 4 = m-n, we are to make m the subject of the formula

From the equation

4 = m-n

Rearrange

m-n = 4

Add n both sides of the equation

m-n+n = 4+n

m+0 =4+n

m = 4+n

Hence the expression for m is given as m = 4+n

Answer:  2 vertices

The two vertices in question are (2,0) and (5,0). These are points A and D. These two points are on the x axis, which is the line of reflection. Any point on a line of reflection does not move.

The points (0,-3) and (3,-3) are not on the line of reflection, so they do move and are reflected to another location. Refer to the diagram below.

Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

74/100×x=452.88

74x/100 = 452.88

Multiply both sides by 100

74x=45288

Divide both sides by 74

x=45288/74

x=612

Hence, 452.88 is 74% of the number 612.

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Answer: the answer is C <3 and <7

Step-by-step explanation:

Answer:

c <3 and <7

Step-by-step explanation:

Answer:

i do not know sorry :(

Step-by-step explanation:

answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

Answer:

multicellular organisms  = 14

Step-by-step explanation:

given data

multicellular organism = 625 sq feet

total = 8750 sq feet

solution

we will gethere

as we know that 1 multicellular organism  =  625 sq feet  

so

we get here  multicellular organisms that is

multicellular organisms = ( 8750 ×1 ) ÷ 625

multicellular organisms  = 14

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

Answer:

c = 69.1

Step-by-step explanation:

because if you already have 280 rooms and it will increase to 405 rooms essentially all you have to do is 280/405 and that gives you about 69.1%

Answer:

(2,4)

Step-by-step explanation:

thats the point where both lines meet

Answer:

I hope someone can help you :)

Step-by-step explanation:

BTW I can't see the image its white for  me :( Sorry

Answer: 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

Given : 3$ could be exchanged for 2.5 euros

That means :

To get 2.5 euros , dollars needed are = 3$

By using Unitary method:

To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $

To get 6 euros , dollars needed are =  [tex]\frac{3}{2.5}\times 6=7.2[/tex] $

Thus 7.2 $ will be needed to get 6 Euros.

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

∴ Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

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Answer:

60°

Step-by-step explanation:

The sum of all three triangle angles add up to 180°. To solve for the last angle, add the sides you know together and subtract the sum from 180. This will leave you with the third angle's measurement,

40 + 80 = 120

180 - 120 = 60

The third angle of the triangle is 60°

A polygon with three angles, side, and vertices is called a triangle.

Given that, a triangle has angles that measure 40° and 80°.

We know that the sum of the interior angles of a triangle is 180°

Let the third angle be x,

40° + 80° + x = 180°

x = 180°-120°

x = 60°

Hence, the third angle of the triangle is 60°

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Answer:

Jay has $72

Step-by-step explanation:

$87-$15=$72

Answer: Jay has $72.

Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.

Answer:

depends on context, 95% of what number? But in general it would be 95% because 0.9= 90%

Step-by-step explanation:

Answer:

x=4

y=6

Step-by-step explanation:

We need to find value of x and y if RS bisects AB and RS = 28

We are given: RS = 28

and We can see from figure that: RT= 3y-7 and TS = 2y+5

And we can observe that RT + TS = 36

So, putting all the values, we can find value of y

[tex]3y-7+2y+5=28[/tex]

Solving this equation, will find value of y

[tex]3y+2y+5-7=28\\5y-2=28\\5y=28+2\\5y=30\\y=\frac{30}{5}\\y=6[/tex]

So, we get value of y: y=6

Now, we also know that RS bisects the line AB. It means it divides both the lines equally.

So, we can write: AT = TB

Putting values we can find value of x

We have AT = 4x-2

TB = 4y+2

and y =6

[tex]4x-2 = 4y+2\\4x-2=4(6)+2\\4x-2=12+2\\4x=14+2\\4x=16\\x=\frac{16}{4}\\x=4[/tex]

So, we get value of x: x=4

Answer:

I think it’s a but if not a then d

Step-by-step explanation:

Answer:

i think A

plz give me brainliest but plz correct if wrong

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 molecules of SO2

each molecule contains 2 atoms of Oxygen

Answer:

Step-by-step explanation:

Answer:

Total area ≈ 0.082 ​

Step-by-step explanation:

Round answers to three decimal places.

Area of 1st rectangle = 0.032

Area of 2nd rectangle =25 x 0.000863

= 0.022

Area of 3rd rectangle = 0.014

Area of 4th rectangle = 0.008

Area of 5th rectangle = 0.004

Area of 6th rectangle = 0.002

Total area = 0.082 ​

Rounding up to 3 decimal places: this means 3 numbers after the decimal point

Area of 1st rectangle ≈ 0.032

Area of 2nd rectangle ≈ 0.022

Area of 3rd rectangle ≈ 0.014

Area of 4th rectangle ≈ 0.008

Area of 5th rectangle ≈ 0.004

Area of 6th rectangle ≈ 0.002

Total area = 0.032 + 0.022 + 0.014 + 0.008 + 0.004 + 0.002

= 0.082

Total area ≈ 0.082 ​

Answer:

Round answers to three decimal places.

Area of 1st rectangle =0.022

Area of 2nd rectangle =  

⇒ 0.014

Area of 3rd rectangle =

⇒ 0.008

Area of 4th rectangle =

⇒ 0.004

Area of 5th rectangle =  

⇒ 0.002

Area of 6th rectangle =

⇒ 0.001

Total area =  

⇒ 0.051

Step-by-step explanation:

edg 2021

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

Answer:

250/30= 25/3

inverse of 25/3= 3/25

Step-by-step explanation:

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

Answer:

I know this answer won't help now but it's 6x2 + 13x + 5

which is C

Step-by-step explanation:

The  expression represents the area covered by the wall mural is -    [tex]6x^2+13x+5[/tex]

Given :

Dimensions are (2x + 1) and (3x + 5).

To find the area we multiply them.

Area=[tex](2x+1)(3x+5)\\

Area=6x^2+10x+3x+5\\

Area=6x^2+13x+5[/tex]

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Answer: 237.160283353

Step-by-step explanation:

Answer:

the answer is 237.1602834

source: Calculator

Answer:

put a picture with the question and I can help you

Answer:

Where’s the pic

Step-by-step explanation: