Mathematics High School

The figures are similar. Find the missing length.Round to the nearest thousandth ​

The Figures Are Similar. Find The Missing Length.Round To The Nearest Thousandth

Answers

Answer 1

Answer:

The missing x = 0.675 m

Step-by-step explanation:

In similar triangles, the corresponding sides are proportion (means their ratios are equal)

In the given figure

∵ The two triangles are similar

∴ Their corresponding sides are proportion

∵ The sides of lengths 1.8 m and x are corresponding sides

∵ The sides of lengths 8.0 m and 3.0 are corresponding sides

∴ [tex]\frac{1.8}{x}[/tex] = [tex]\frac{8.0}{3.0}[/tex]

→ By using cross multiplication

∴ x × 8.0 = 1.8 × 3.0

∴ 8x = 5.4

→ Divide both sides by 8

∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{5.4}{8}[/tex]

∴ x = 0.675

→ No rounding because there is no digit after the thousandth digit

∴ x = 0.675 m

Related Questions

what property is 9+-9=0

Answers

I think it’s zero. Yeah I’m sure it’s zero

Replacing one regular light bulb with a
compact fluorescent bulb will save 151.56
pounds of carbon dioxide per year. If you
replace 25 regular light bulbs, then how
many pounds of carbon dioxide will you save
per year?

Answers

Answer:

3789 pounds of carbon dioxide

multiply 151.56 by 25

Answer:

3789

Step-by-step explanation:

edge 2020

answer the question below, 100 points (and brainliest if it lets me, im desperate)

Answers

It will take the diver 6.24 seconds

In a deli the ratio of ham subs sold to cheese subs sold in a day was 9:4. If 36 cheese subs were sold how many ham subs were sold?

Answers

Answer:

oolollololollolollo

Step-by-step explanation:

The number of ham subs sold is given by the proportion equation A = 81

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of ham subs sold be represented as A

Now , the proportion will be

The ratio of ham subs sold to cheese subs sold = 9 : 4

And , the number of cheese subs sold = 36

Substituting the values in the equation , we get

number of ham subs sold A / number of cheese subs sold = 9 / 4

On simplifying the equation , we get

A / 36 = 9 / 4

Multiply by 36 on both sides of the equation , we get

A = ( 9 x 36 ) / 4

A = 9 x 9

A = 81 ham subs

Therefore , the value of A is 81 ham subs

Hence , the number of ham subs sold is 81

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Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

Hakim’s electrical car can go 180 miles on 2/3 of a full charge . How far can it go on 1 full charge?

Answers

Answer:

270 miles

Step-by-step explanation:

divide 180 by two to get a third, which is 90. Multiply by three to get the answer, which is 270

Answer:

270

Step-by-step explanation:

as you can see above me

Will mark branilest!!

Answers

Answer:

B?

Step-by-step explanation:

(This is math. Is that question supposed to be math? I'm not sure)

The sum of two integers with different signs is 16. What two integers fit this description?

-2 and 18
-18 and -18
-14 and -2
-14 and 2

Answers

-2 and 18 add to 16

can y’all help please :)

Answers

number three ? I’m not sure

What is 325.623 rounded to the nearest tenth

Answers

325.6 is your answer :

If the number that comes before it is smaller than 5, you keep the number the same. If it’s larger than 5, then you boost it up one. For example, if it was 325.683, you’d round that to 325.7.

Hope that helps!

Answer: 325.6

Step-by-step explanation: 6 is in the tenth place and you don't round up the two

2. Addison bought 9 pumpkin pies for $27. How much will she pay for 11 pumpkin pies? Use numbers and words to explain your answer.​

Answers

Answer:

$33

Step-by-step explanation:

Since 9 pies is 27 dollars that means you have to divide 27 by 9 to find out what 1 pie costs

1 pie ends cause costing $3

now you multiply the cost for 1 pie and 11 so it comes out to be $33

It is 33 doll hairs
Ksosksos

Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.

Answers

Answer:

C

Step-by-step explanation:

Plato(:

What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.

What is stock?

Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.

In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.

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What value of x makes this equation true?
x/3 - 3 = x/9 + 3

Answers

Answer:

x = 27

Step-by-step explanation:

hope this helps :)

PLEASE HELP ;)
Who did it right?

Find the slope of the line perpendicular to 2x+3y=8

Answers

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.

Answers

Answer:

y

=

−

1

3

(

x

+

3

)

Step-by-step explanation:

The point-slope form of a linear equation is:  

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where  

(

x

1

,

y

1

)

is a point on the line and  

m

is the slope.

Substituting the values from the point in the problem and the slope provided in the problem gives:

Answer:

y=-1/2x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y=-1/2x+2-2

y=-1/2x

PLS HELP ASAP I WILL GIVE BRAINLYEST...
20 Points...

Answers

Answer:

True

True

False

True

Step-by-step explanation:

PLEASE HELP!!! 60 points will be rewarded to the person that answers this question correctly.

The two figures below have the same perimeter. What is the value of x?

1. Write an equation that can be used to represent the situation above

2. Solve the equation

3. Prove the solution by plugging it into both sides of the equation


Answers

Answer:

3 or 5

Step-by-step explanation:

Because follow the problem

!!30 points!!
The container that
holds the water for
the foorball team s 1/3
full. After pouring in 12
gallons of water, it is
7/9 full.

After pouring in 12
gallons of water, it is
7/9 full. How many
gallons can the
container hold?

Answers

Your answer would be 27 Gallons.

Anwer is 27 gallons answered for your question

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Answers

Answer:

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Step-by-step explanation:

What are the last 3 digits of 5 to the power of 2020?

Answers

Answer:625

Step-by-step explanation:

what is the equation of the graphed line?​

Answers

Answer:

y=mx+b

Step-by-step explanation:

you need to find the y intercept and the slope in order to write the equation in y intercept form slope is the change of u over the change in x

The perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. The sum of the other 4 side lengths is 36.4 meters. About how long is each of the​ same-side lengths?

Answers

31.41 that the answer

Each of the​ same-side lengths is 15.67.

What is perimeter?

It is the sum of length of the sides used to made the given figure.

We have been given that the perimeter of a​ 6-sided figure is 67.74 meters. Two of the sides have the same length. And the sum of the other 4 side lengths is 36.4 meters.

Let the same side be a.

The perimeter of the figure = 6 x side

The perimeter of the figure = 2a + 36.4

67.74 = 2a + 36.4

2a = 67.74 - 36.4

2a = 31.34

a =15.67

Therefore, each of the​ same-side lengths is 15.67.

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A partial proof was constructed given that MNOP is a parallelogram.

Which statement should fill in the blank in the last line of the proof?

A. angle M is supplementary to angle O.


B. angle N is supplementary to angle P.


C. angle M is congruent to angle P


D. angle N is congruent to angle P.

Answers

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation:

5y - 4x = -7
2y + 4z = 14
Solve for x and y

Answers

Answer:

et's solve for x.

5y−4x=−72y+4z

Step 1: Add -5y to both sides.

−4x+5y+−5y=−72y+4z+−5y

−4x=−77y+4z

Step 2: Divide both sides by -4.

−4x

−4

=

−77y+4z

−4

x=

77

4

y−z

Answer:

x=

77

4

y−z

Let's solve for y.

5y−4x=−72y+4z

Step 1: Add 72y to both sides.

−4x+5y+72y=−72y+4z+72y

−4x+77y=4z

Step 2: Add 4x to both sides.

−4x+77y+4x=4z+4x

77y=4x+4z

Step 3: Divide both sides by 77.

77y

77

=

4x+4z

77

y=

4

77

x+

4

77

z

Answer:

y=

4

77

x+

4

77

z

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer:

1.)x=5/4y+7/4

2.) y=−2z+7

Step-by-step explanation:

Find the slope and y-intercept of the graph. y=5x-3

Answers

Answer:

Step-by-step explanation:

y=mx+b

your m is the slope and your b is the y-intercept

so for y=5x-3 your slope would be 5 and your y-intercept would be -3

The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.

How to Find the Slope and the Y-intercept of a Graph?

The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:

m is the slope

b is the y-intercept of the graph.

The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).

Learn more about slope and y-intercept on:

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simply the following equations
a. -5(-3x - 2y +1)

b. 6(x + 3y -5)

Answers

15x + 10y -5

6x + 18y -30

PLZ HELP ANSWER IMEDIATLY!!!!!!!! 55 POINTS A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in point-slope form. Show your work for full credit. (How did you go from those two points to having the equation in point-slope form?)

Answers

Answer:not sure

Step-by-step explanation:

I really need help so please help me out

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :

TU + UF = 32

TU + 20 = 32

TU = 32 - 20

TU = 12

Adam has a bag containing x counters. He adds four more counters to his bag. Write an expression for the number of counters in Adam's bag now.​

Answers

Answer:

x+4

Step-by-step explanation:

Please help me I need help please?

Answers

A linear function is a function that creates a straight line when graphed. The difference between this graph and others is that this function is constant instead of curved. I’d like to see an example of this in the real world as a relationship between profit and merchandise.A quadratic function is a function that has multiple variables allowing the graph to curve. The difference between this function and the others is that this function is squared allowing for a greater curve that looks like a U. I’d like to see a example of this in the real world as missiles being launched since the curve is similar.A exponential function is a function in which the function grows at a fast rate. The difference between this function and the others is that this function curves in a constant rate then the x increases continuously. I’d like to see an example of this in the real world as the interest in a bank since it increases per month.
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