FIND THE MISSING LENGTH.

FIND THE MISSING LENGTH.

Answers

Answer 1

Answer:

  x = 9

  x+7 = 16

Step-by-step explanation:

The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.

  long side/short side = (x+7)/12 = 12/x

  x(x +7) = 12²

  x +7x -144 = 0 . . . . . subtract 144 to put in standard form

  (x +16)(x -9) = 0 . . . . factor

  x = 9 . . . . . . only the positive solution is useful here

The missing lengths are ...

x = DC = 9x+7 = DA = 16

Related Questions

What is the rate of change for the equation x+0.5y=5

Answers

Answer:

Step-by-step explanation:

The rate of change can be found by using the difference quotient formula and in this case it would be -0.5

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

[tex]f (x)= x^{2},(2, 3) -2[/tex]

The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2

┍━━━━━»•» «•«━━━━━━»•» «•«━┑

HOPE THIS HELPS

What fraction is equivalent to six tenths and has a denominator of 100?

Answers

Answer:

6 = 6/10

Step-by-step explanation:

.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.

Answer:

[tex]\dfrac{60}{100}[/tex]

Step-by-step explanation:

Six tenths:

[tex]\dfrac{6}{10}[/tex]

where 6 is the numerator and 10 is the denominator

We want the denominator to be 100, so how do we convert 10 into 100?

We multiply by 10, since 10 x 10 = 100

When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator.  Therefore, we should multiply both by 10:

[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]

Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:

[tex]\dfrac{60}{100}[/tex]

(sixty hundredths)

Look at the equation below. Identify which equation has no solution

Answers

Answer:

C

Step-by-step explanation:

[tex]24a-22 = -4(1-6a)\\\\\implies 24a-22 = -4+24a\\\\\implies -22 = -4\\\\\text{Which is not true, so no solutions exist.}[/tex]

Please help! It's very confusing to me

Answers

Answer:

b. is the equation and 18 is the answer.

Step-by-step explanation:

the 9 plus b has to equal the 27

18 is the value of b.

Use a net to find the area of the entire surface of the solid.​


A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.


The surface area of the prism is

square units.

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]

The area of the entire surface of the solid given is 94 units².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular prism.

It consists of 3 pairs of identical rectangular sides.

Area of a rectangle = length × width

Find the area of each rectangular sides to find the total area.

Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)

                 = 15 + 15 + 20 + 20 + 12 + 12

                 = 94 units²

Hence the area of the prism given is 94 units².

Learn more about Surface Area here :

https://brainly.com/question/2835293

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In the electric field [tex]{\vec{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex], find the potential difference between the points A(1,3,5) and B(3,2,7)​

Answers

Let's recall that, the potential difference between any two points X(x,y,z) and Y(a,b,c) is given by ;

[tex]{\boxed{\bf{V_{Y}-V_{X}=\displaystyle \bf -\int_{X}^{Y}\overrightarrow{E}\cdot \overrightarrow{dr}}}}[/tex]

So, here ;

[tex]{:\implies \quad \sf \overrightarrow{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex]

So, now our second component of the Integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{dr}=dx\hat{i}+dy\hat{j}+dz\hat{k}}[/tex]

So, now the whole integrand will just be ;

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=(3x\hat{i}-2y\hat{j}+5z\hat{k})(dx\hat{i}+dy\hat{j}+dz\hat{k})}[/tex]

[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=3xdx-2ydy+5zdz}[/tex]

Now, Let's move to the final answer ;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\int_{X}^{Y}3xdx-2ydy+5zdz}[/tex]

As,X is the point (1,3,5) and Y being (3,2,7) , so seperate the integral into three integrals with limits as follows respectively;

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(\int_{1}^{3}3xdx-\int_{3}^{2}ydy+\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(3\int_{1}^{3}xdx-2\int_{3}^{2}ydy+5\int_{5}^{7}zdz\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{3\bigg(\dfrac{x^2}{2}\bigg)\bigg|_{1}^{3}-2\bigg(\dfrac{y^2}{2}\bigg)\bigg|_{3}^{2}+5\bigg(\dfrac{z^2}{2}\bigg)\bigg|_{5}^{7}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{2\bigg(\dfrac{9}{2}-\dfrac12\bigg)-2\bigg(\dfrac{4}{2}-\dfrac92\bigg)+5\bigg(\dfrac{49}{2}-\dfrac{25}{2}\bigg)\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{3(4)-(-5)+5(12)\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{12+5+60\}}[/tex]

[tex]{:\implies \quad \displaystyle \boxed{\bf{V_{Y}-V_{X}=-77\:\: Volt}}}[/tex]

Hence, this is the required answer

jon had 20 grapes an sally took 14 how many are left

Answers

20-14=6 Jon has 6 grapes left

pls help quick!!
10 points

Answers

Answer:

The angle B = 70°

Step-by-step explanation:

The sum of angles of a triangle is 180°

=> 40°+(2x-30)°+(x+20)° = 180°

=> 40°+2x°-30°+x°+20° = 180°

=> 30°+3x= 180°

=> 3x = 180°-30°

=> 3x = 150°

=> x = 150/3

=> x = 50°

So,the value of x = 50°

now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°

50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.

nvm it was 4

Answers

Area = length x height:

Area = 7 x 11 = 77 square feet.


divide area of wall by area per can:

77/20 = 3.85 cans


they will need to buy 4 cans

Round each amount to the nearest hundred to find an estimate of:

3891 ÷ 289

Answers

Answer:

  13

Step-by-step explanation:

Estimates are often made by rounding the operands to 1 or 2 significant digits. Here, that is accomplished by rounding each number to the nearest hundred.

__

Rounded to hundreds, the problem becomes ...

  3900 ÷ 300

  = 39/3 = 13

An estimate of the quotient is 13.

Given the equation, what is the center and radius of the circle?

(x-7) ^2 + (Y-4) ^2= 64 ^2

Answers

We are given the equation of circle (x - 7)² + (y - 3)² = 64² , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-7)^{2}+(y-4)^{2}=(64)^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Centre = (7, 4)Radius = 64 units

Perform the indicated operation & simplify.

Answers

[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]

Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?​

Answers

Answer:

2 2/3 foot

Step-by-step explanation:

3x=8

x=8÷3

=2 2/3 foot

HELP!!
what is 23x+(4-5b)

Answers

Answer:

just remove the bracket and write normally so it's 23x+4-5b

Step-by-step explanation:

if you meant something else then let me know

$5000 principal earning 4% compounded annually, 4 years

Answers

Answer: $7401.22

Step-by-step explanation: it’s right just trust me

In a town of 117 000 people, 14000 like to
Watch hockey. What percent of the town's
Populations like to watch hockey?

Answers

Divide number that like hockey by population then multiply by 100:


14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. The correlation (i.e. whether they tend to occur together, or separately, or are unrelated) between the events is unknown.

What is the maximum probability that both event A and event B will occur?

What is the minimum probability that both event A and event B will occur?

Answers

The maximum probability that both event A and event B will occur is 18%.

How to compute the probability?

From the information, Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. Therefore, the maximum probability will be:

= 90% × 20%

= 18%

The minimum probability that both event A and event B will occur will be:

= (90% + 20%) - 1

= 1.10 - 1

= 10%

Learn more about probability on:

https://brainly.com/question/24756209

Can somebody please help me thank you

Answers

Answer: <

Step-by-step explanation:

53688 < 53689

< means less than
Hence it is read as 53688 is less than 53689

When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?

A. The answer is incorrect; the trinomial cannot be factored.

B. The answer is incorrect; the plus sign should be a minus sign.

C. The answer is incorrect; the minus sign should be a plus sign.

D. The answer is correct.

Answers

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

Help picture below problem 13

Answers

Answer:

the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3

Step-by-step explanation:

325.39 3.26.3 326.15 326.48 from greatest to least

Answers

Answer: 1)3.26.3

2)326.15

3)325.39

4)326.48

Step-by-step explanation: you want to start from the lowest number to get your answer

3/5 + 1/4 = ?
Anyone know what the answer is?

Answers

17/20


you want to get the bottom numbers the same by multiplying:)
5x4= 20 , 4x5= 20
since you multiplied the fraction with the denominator 5 by 4 , you also multiply the number on top by 4
3x4= 12
and since the other fraction with the denominator 4 was multiplied by 5 , you multiply the number on top by 5
1x5= 5
now you add those 2 numbers up
5+12= 17
you put that number on top of the fraction: 17
and take the number you ————
got from the first step and
put it on the bottom: 20

and you get 17/20 or .85

A college is building a new basketball court that is 88 feet long and 40 feet wide, but the wood for the court comes only in 8-meter planks that are 10 centimeters wide. How many planks are needed to surface the court?​

Answers

Answer:

2816

Step-by-step explanation:

Cm to m is divide by 100

10 / 100 = 0.1.

0.1 x 8 = 0.8

40 x 88 = 3520

3520 / 0.8 = 2816

find the area of a circle that has the diameter of 2 feet. ( use 3.14 for pi)

Answers

Answer: area of the circle is [tex]3.14ft^{2}[/tex]

Step-by-step explanation:

1. the equation to find the area of a circle is [tex]\pi r^{2}[/tex]

2. the diameter is equal to 2r, meaning to get the radius, divide the diameter by 2.     [tex]\frac{2}{2} =1[/tex]

3. plug in the the radius into the equation. [tex]3.14*1^{2} =3.14ft^{2}[/tex]

hope this helped! ♡

Bob bought n packs of pencils. Each pack has 15 pencils. Write an equation to represent the total number of pencils that Bob bought.

Answers

Step-by-step explanation:

each pack 15 pencil

n* 15= 15n

10+500000000 wats the answer

Answers

Answer:

500,000,010

Step-by-step explanation:

The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010

1.what is a sports car average acceleration if it can go from 0m/s to 27m/s in 6.0 seconds?


2.what is cars acceleration when it slow down from an initial velocity of 4.5m/s to a final velocity of 24.5m/s in 3.2 seconds?



3.a car increases its velocity from 50m/s to 80m/s in 2.0 maintaining its direction.what is acceleration?


4.a turtle moves from a initial velocity of 0.50m/s to 0.80m/s in 6seconds.what is the turtels average acceleration?

Answers

Answer:

1.4.5m/s^2

2.6.25m/s^2

3.15m/s^2

4.0.05m/s^2

Step-by-step explanation:

a=v-u

----

t

27-0

------ = 27/6

6

=4.5m/s^2

u=4.5m/s

v=24.5m/s

t=3.2s

(24.5-4.5)÷3.2

=20/3.2

=6.25m/s^2

v=80m/s

u=50m/s

t=2s

(80-50)÷2

15m/s^2

v=0.80m/s

u=0.50m/s

t=6s

(0.80-0.50)÷6

=0.05m/s^2

Evaluate the expression when g=5 and h=33.
h-4g

Answers

Answer:145

Step-by-step explanation:

if h=33 and g=5 the expression would look like 33-4x5 frist 33-4=29 so now we imes by 5, 29x5=145 so 145 is your answer

Help help help help

Answers

Step-by-step explanation:

can you tell me what you don't understand about this ?

because it is really simple, once you understand the transformations of equations.

remember, whatever we do to one side. we have to do also to the other side, so that the information in general stays the same.

(7 - 3x)/2 = 8 multiply both sides by 2

7 - 3x = 16 subtract 7 from both sides

-3x = 9 divide both sides by 3

-x = 3 multiply both sides by -1

x = -3

and that's the whole "secret" about solving an equation.

Answer:

x = -3

Step-by-step explanation:

In the question we are given with an equation that is ( 7 - 3x ) / 2 = 8 . And we have asked to find the value of x .

Solution : -

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{2} = 8[/tex]

Step 1 : Multiplying both sides by 2 :

[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{ \cancel{2} }\times \cancel{2 }= 8 \times 2 [/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \: 7 - 3x = 16[/tex]

Step 2 : Subtracting with 7 on both sides :

[tex] \longrightarrow \qquad \: \cancel{ 7 }- 3x - \cancel{ 7 }= 16 - 7[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: - 3x = 9[/tex]

Step 3 : Dividing with -3 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{ - 3}x}{ \cancel{-3}} = \cancel{\dfrac{9}{ - 3} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 3}}}}[/tex]

Therefore, value of x is -3 .

Verifying : -

Now , we are verifying our answer by substituting value of x in given equation . So ,

( 7 - 3x ) / 2 = 8

[ 7 - 3 ( -3 ) ] / 2 = 8

( 7 + 9 ) / 2 = 8

16 / 2 = 8

8 = 8

L.H.S = R.H.S

Hence, Verified .

Therefore , our answer is valid .

#Keep Learning

solve. solve this question if you are intelligent ​

Answers

Answer:

(a) 0 (b) 1^2

Step-by-step explanation:

photo number 1 is answer for question 2(a)

photo number 2 is answer for question 2(b)

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