The triangles are similar. Solve for the missing segment.

The Triangles Are Similar. Solve For The Missing Segment.

Answers

Answer 1

Answer:

56

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{35+20}{20}[/tex] = [tex]\frac{32+?}{32}[/tex] ( cross- multiply )

20(32 + ?) = 1760 ( divide both sides by 20 )

32 + ? = 88 ( subtract 32 from both sides )

? = 56

Answer 2

Answer:

[tex]\boxed{56}[/tex]

Step-by-step explanation:

We can use ratios to solve since the triangles are similar.

[tex]\frac{20}{32} =\frac{35}{x}[/tex]

Cross multiplication.

[tex]20x=35 \times 32[/tex]

Divide both sides by 20.

[tex]\frac{20x}{20} = \frac{35 \times 32}{20}[/tex]

[tex]x=56[/tex]


Related Questions

10x-3y=-17; y=x+1

10x-3(x+1)=-17

Answers

Answer:

y=3/10;X=-7/10

Step-by-step explanation:

put y=x+1 into where you find y.

solve for X which is -7/10

and put -7/10 into the second equation and solve for y. which is also =3/10

Onyango is now three times as old as his daughter and four times as old as his son. Eight years from now, Onyango's age will be twelve years more than the sum of the ages of his son and daughter. Find their present ages.

Answers

Answer:

Onyango is 48, his daughter is 16 and his son is 12

Step-by-step explanation:

Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:

x + 8 = 12 + (1/3x + 8 + 1/4x + 8)

x + 8 = 7/12x + 28

5/12x = 20

x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12

Please answer this in two minutes

Answers

Answer: 1080 degrees

Hoped this helped :)

A cylinder has a volume of 390 cm³. If a cone has the same dimensions as the cylinder then what is the volume of the cone.

Answers

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= [tex]\pi[/tex][tex]r^{2} *h[/tex]  Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3

So if they have the same dimensions which is the height and the radius then we will just divide the  volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V =  130 cm^3

What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?

Answers

Answer:

[tex]y=-\frac{3}{2}x-6[/tex]

Step-by-step explanation:

Since the line needs to be perpendicular to [tex]2x-3y=6[/tex], that means the slope of the line must be the opposite reciprocal. Rearrange the equation [tex]2x-3y=6[/tex]  to solve for the value of y, with variable y on the left side.

[tex]-3y=-2x+6\\y=\frac{2}{3} x-2[/tex]

So, the slope of the line given already is [tex]\frac{2}{3}[/tex]. The opposite reciprocal of this is [tex]-\frac{3}{2}[/tex].

From what information we know so far (the slope) about the equation of the line we are trying to find, we can write a basic equation that allows us to solve for the y-intercept. Use the equation [tex]y=mx+b[/tex], where m is the slope (which we already found) and b is the y-intercept.

[tex]y=-\frac{3}{2}x+b[/tex]

Since we are given a set of coordinate points that the line must pass through, we can substitute (-2, -3) in for x and y in the equation above. Then, solve for the value of b, which is our y-intercept.

[tex]-3=-\frac{3}{2}(-2)+b\\ -3=3+b\\b=-6[/tex]

Now we have all the necessary information to create our equation.

[tex]y=-\frac{3}{2}x-6[/tex]

Answer:  A.

explanation:just did the test

Price elasticity of demand for tomatoes is 1.30. If hail storm adversely affects the nation’s production of tomatoes what will be the impact on total revenue from tomatoes and why?

Answers

Answer:

The total revenue will decrease.

Step-by-step explanation:

The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.

halla la medida del lado de un cuadrado cuya diagonal es de 14 cm

Answers

Answer:

7√2 cm

Step-by-step explanation:

Aquí, estamos interesados ​​en encontrar la longitud del lado de un cuadrado que tiene una longitud diagonal de 14 cm.

Una diagonal es una línea que se extiende desde un borde del cuadrado hasta el otro borde del cuadrado internamente.

Ahora, una diagonal de un cuadrado junto con dos lados de un cuadrado forman un triángulo rectángulo isósceles, siendo la diagonal la hipotenusa de este triángulo rectángulo.

Sabemos que los lados de un cuadrado tienen la misma longitud y, por lo tanto, llamemos a este lado desconocido x cm.

Matemáticamente, según el teorema de Pitágoras, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los otros dos lados.

Por lo tanto, tenemos;

14 ^ 2 = x ^ 2 + x ^ 2

196 = 2x ^ 2

dividir ambos lados por 2

98 = x ^ 2 x = √98

x = √ (49 * 2)

x = 7√2 cm

Por lo tanto, la longitud del lado del cuadrado es de 7√2 cm

On a piece of paper, graph y> -x+ 2. Then determine which answer matches
the graph you drew.

Answers

Answer:

Step-by-step explanation:

y> -x+ 2.

The graph of the inequality y > -x + 2 is shown below.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

y > -x + 2.

To determine which of the graph is correct,

Plot the graph of the given inequality,

The graph of the inequality is shown below.

To know more about Inequality on:

https://brainly.com/question/20383699

#SPJ5

which statement about this figure is true

Answers

Answer:

D: It has reflectional symmetry with one line of symmetry

Step-by-step explanation:

The reason D is the answer is because, the tree has the same sides and if you put a line in the middle of the tree it is identical to the other side.

The image has a reflectional symmetry with one line of symmetry. The correct option is d.

A reflectional symmetric image has at least one line (axis) along which it can be folded or reflected to produce a complementary or identical image on the opposite side. The image is split along this line of symmetry into two equal halves that are mirror images of one another. The reflectional symmetry gives the picture a feeling of harmony and balance.

It is similar to viewing an image through a mirror in that the portion that is reflected is an exact replica of the original. This kind of symmetry is frequently found in many patterns and objects in nature, art and architecture which enhances the overall design's aesthetic appeal and visual interest.

learn more about reflectional symmetry here

brainly.com/question/27847257

#SPJ2

The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.

Which statement is true?
The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.
Event F for female and event D for drama are independent events.
The probability of randomly selecting a male student, given that his favorite genre is horror, is
16/40
.
Event M for male and event A for action are independent events.

Answers

Answer:

The second statement is correct

Step-by-step explanation:

Hello!

The table shows the information of the favorite film genre of the students of the class regarding their gender.

You have to prove which statement is correct:

1)The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.

If you chose a student at random, you need to calculate the probability of its favorite genre being "Drama" (D) and the student being female (F), symbolically: P(D∩F)

To do so you have to divide the number of observed students that are female and like drama by the total number of students:

P(D∩F)= [tex]\frac{24}{240}= \frac{1}{10} =0.10[/tex]

This means that the probability of choosing a student at random and it being a female that likes drama is 10%.

This statement is incorrect.

2) Event F for female and event D for drama are independent events.

Two events are independent when the occurrence of one of them doesn't affect the probability of occurrence of the other one.

So if F and D are independent then:

P(F)= P(F|D)

-or-

P(D)=P(D|F)

The probability of the event "Female" is equal to [tex]P(F)= \frac{Total females in the class}{n} = \frac{144}{240} = \frac{3}{5}= 0.6[/tex]

The probability of the event "Drama" is:

[tex]P(D)= \frac{Total students that like "Drama"}{n}= \frac{40}{240}= \frac{1}{6}= 0.166[/tex]

[tex]P(F|D)= \frac{P(FnD)}{P(D)}= \frac{\frac{1}{10} }{\frac{1}{6} }= \frac{3}{5} = 0.6[/tex]

As you can see P(F)= 0.6 and P(F|D)= 0.6 so both events are independent.

This statement is correct.

3) The probability of randomly selecting a male student, given that his favorite genre is horror, is  16/40

This is a conditional probability, you already know that the student likes horror movies (H), and out of that group you want to know the probability of the student being male (M):

[tex]P(M|H)= \frac{number of male students that like horror movies}{total students that like horror movies}= \frac{16}{38}= \frac{8}{19} = 0.42[/tex]

This statement is incorrect.

4) Event M for male and event A for action are independent events.

Same as the second statement, if the events "Male" and "Action" are independent then:

P(M)= P(M|A)

-or-

P(A)= P(A|M)

[tex]P(M)= \frac{96}{240}= \frac{2}{5}= 0.4[/tex]

[tex]P(A)= \frac{72}{240} =\frac{3}{10}= 0.3[/tex]

[tex]P(AnM)= \frac{28}{240}= \frac{7}{60}= 0.11666[/tex]

[tex]P(M|A)= \frac{P(MnA)}{P(A)}= \frac{\frac{7}{60} }{\frac{3}{10} } = \frac{7}{18}= 0.3888[/tex]

[tex]P(M)= \frac{2}{5}[/tex] and [tex]P(M|A)= \frac{7}{18}[/tex]

P(M)≠ P(M|A) the events are not independent.

This statement is incorrect.

I hope this helps!

Answer this question will give brainliest.

Answers

Answer:

             A.

Step-by-step explanation:

Faktor (x-a) means a is x-intercept

x-10  ⇒  10 is x-intercept

22-x  ⇒  22 is x-intercept

x+10  ⇒  -10 is x-intercept

20+x  ⇒  -22 is x-intercept

so in the graph have to be at least two intercepts <0 and at least two intercepts >0

The equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (negative 2, 0.75) and (negative 2, 1.5). Blue line goes through (negative 1.75, 0) and (1, negative 2). Pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). Purple line goes through (0, 1.25) and (1, 0.5). PLEASE ANSWER IS 2 MINUTES WILL GIVE BRAINLIEST Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)

Answers

Answer:

Step-by-step explanation:

The two equations are 8x-10y=-23 and 9x+10y=-16.

If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).

The answer is A.

Answer:

i think it is A

Step-by-step explanation:

if right pls give brainliest

Nvm it is right pls give brainliest i need 5 to get to next rank

What is the function rule that describes the pattern in the table

Answers

Answer:

C

Step-by-step explanation:

The answer is letter D

The Free Food Club holds weekly meetings. In chronological order, they've ordered 12, 9, 11, 10, 13, 8, 7, and 13 pizzas over the last two months. What is the median number of pizzas that they ordered?
NEED ASAP

Answers

Answer:

10.375

Step-by-step explanation:

1.) Add up all the amount of pizzas |  12 + 9 + 11 +10+13+8+ 7,+ 13=83

2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =

10.375

Find the 9th term geometric sequence 1,1/2,1/2^2

Answers

Answer:   [tex]t_9=\dfrac{1}{2^8}[/tex]

Step-by-step explanation:

[tex]t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}[/tex]

Can anyone help me with this plz?

Answers

The answer is 3

Nsbdjd didjdjjc idjdndno is Bebe

HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

4 hours

Step-by-step explanation:

Formula for volume of a cylinder is πr² · h

1. Find the volume of the pool

π(3.5²) · 1.9 = 73.1 m³

2. Divide by the amount of water pumped out per hour (17 m³)

73.1 ÷ 17 = 4.3

It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.

Answer:

The hours does it take to empty the pool is 4.299

Step-by-step explanation:

In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:

hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool

rate water is pumped out of the pool=17m∧3

Volume of cylinder=pi*r∧2*l

According to the given data:

r=3.5

l=1.9

Therefore, Volume of cylinder=3.14*3.5∧2*1.9

Volume of cylinder=73.0835 m∧3

hours does it take to empty the pool=73.0835/17

hours does it take to empty the pool=4.299

The hours does it take to empty the pool is 4.299

A student in a statistics class asks students in a long lunch line about their opinions about the school cafeteria. The sample that results is most likely __________________.
A. quota
B. symmetric
C. large
D. biased

Answers

Answer:

The correct option is;

D. Biased

Step-by-step explanation:

A sampling method in which the members of the sample are not representative of the population, such that some members of the population have a higher or lower probability within the sample which is indicative that not all members of the population are sampled

A biased sample is a non random sample and the can lead to misleading data conclusion

In the question, the sampling of student opinion about the school cafeteria among students who are on the lunch line and so prefer the school cafeteria leaves out the portion of the population that get their lunch from alternative sources.

Answer:

biased

Step-by-step explanation:

using the grapgh on the right which point below is the vertex

Answers

Answer:

its D

Step-by-step explanation:

a vertex is the highest point and that's the only point that actually exist in the graph....Hope that helps...

Solve by the quadratic formula: 3x2 - 4x + 1 =0

Answers

Answer:

x=1.75

Step-by-step explanation:

3*2-4x+1=0 subtract 1 from both sides

3*2-4x=-1 multiply 3 and 2

6-4x=-1 Subtract 6 from both sides

-4x=-7 divide both sides by -4

x=1.75

If this helped, please consider giving me brainliest, it will help a lot :)

Have a good day

Please answer answer question answer

Answers

Answer:

346.38022

Step-by-step explanation:

Using Law of Sines, we know that v=50

[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]

Area = ab·sin(C) /2

[34x50xsin(24)]/2

=346.38022

Answer:

i think he/she is right

Step-by-step explanation:

Find the value of
10!
(10-3)
A. 70
B. 120
O C. 5040
O D. 720

Answers

Answer:

The answer is option D.

Step-by-step explanation:

[tex] \frac{10!}{(10 - 3) ! } = \frac{10!}{7!} = \frac{3628800}{5040} = 720[/tex]

Hope this helps you

Answer:

720

Step-by-step explanation:

(A P E X)

A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.

Answers

Answer: [tex]45+65x\leq250[/tex] .

Step-by-step explanation:

Given: Cost to operate the forklift  per day = $45

Cost for each crew member per day = $65

Let x be the number of crew members.

Then, we have

Total cost = (Cost to operate the forklift  per day)+(Cost for each crew member per day)×(number of crew members)

= 45+65x

Since, the contractor can spend at most $250.

Then, the required inequality: [tex]45+65x\leq250[/tex] .

how do i factorise this with quadratic trinomials? 3x^2−8x−3
Thank you :)

Answers

Answer:

(x - 3) (3x + 1)

Step-by-step explanation:

3x^2 -8x - 3

3x^2 - 9x + x - 3

3x (x - 3) + 1 (x - 3)

(x -3) (3x + 1)

What are the more appropriate measures of center and spread for this date set?

Answers

Answer:

better measure the center:the mean

Answer:

The best measure of senter would be the mean since it is not symmetrical.  The better measure of spread would be standard deviation for the same reason.

Step-by-step explanation:  I have just finished algebra. lol.  I hope i helped.  Please mark brainliest, if you want.  I dont have the best explanation but i hope it works for you.  If you need a better explanation feel free to ask.

y=8-2x. What is the value of y when x = 8?

Answers

The answer is y = -8
Because the math problem is y=8-2x8
You multiple 2x8 which equals 16
You are then left with y=8-16
And 8-16 = -8

Answer:

y = -8

Step-by-step explanation:

Start by filling 8 in place of x

y = 8 - 2(8)

Multiply -2(8)

y = 8 - 16

Subtract 16 from 8

y = -8

lcm of b square and b cube is

Answers

Answer:

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2.

help me Please!!!!!!!​

Answers

Answer:

[tex]\boxed{Option \ C}[/tex]

Step-by-step explanation:

[tex]Sin \ Y = \frac{Opposite }{Hypotenuse } = \frac{XZ}{XY}[/tex]

[tex]Cos \ Y = \frac{Adjacent}{Hypotenuse} = \frac{YZ}{XY}[/tex]

[tex]Tan Y = \frac{opposite}{adjacent} = \frac{XZ}{ZY}[/tex]

Answer:

[tex]\boxed{\mathrm{C}}[/tex]

Step-by-step explanation:

sin [tex]\theta[/tex] = Opposite/Hypotenuse

sin (Y) = [tex]\frac{XZ}{XY}[/tex]

cos [tex]\theta[/tex] = Adjacent/Hypotenuse

cos (Y) = [tex]\frac{YZ}{XY}[/tex]

tan [tex]\theta[/tex] = Opposite/Adjacent

tan (Y) = [tex]\frac{XZ}{YZ}[/tex]

What is the solution to the system of equations graphed below?

Answers

Answer: (4,2)

Step-by-step explanation: The point where the two lines cross is the solution. In parentheses the first number is the x-value, 4. The second number is the y-value, 2 in this example.

(4,2)

step by step explanation:

the two points join at (4,2) on the graph

first we want to write the point on the x-axis that is 4 and then y-axis that is 2 this two lines join at the point (4,2) so answer is (4,2)


Help please! Thanks

Answers

Answer:

E. 0

Step-by-step explanation:

There isn't any guarantee that there are any people that have their birthdays in the same month based on what you're given, so your answer would be 0.

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