Mathematics High School

Sabendo que as retas r, s e t são paralelas, determine o valor de x na imagem a seguir
a)3
b)3,2
c)3,5
d)4

Sabendo Que As Retas R, S E T So Paralelas, Determine O Valor De X Na Imagem A Seguira)3b)3,2c)3,5d)4

Answers

Answer 1

Answer:

x = 3.2

Step-by-step explanation:

Aquí, queremos encontrar el valor de x en la imagen de arriba.

Matemáticamente eso sería;

x / 4 = (x + 16) / (20 + 4)

x / 4 = (x + 16) / 24

Cruz multiplicar 24 * x = 4 (x + 16)

24x = 4x + 64

24x - 4x = 64

20x = 64

x = 64/20 x = 3,2

Answer 2

From the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.

It is given that r, s, t are parallel to each other. The length of the sides is given as 16, 20, 4, x. we need to find the value of x.

What is the transversal proportionality theorem?

If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

From the transversal proportionality theorem,

When r, s, t are parallel to each other then a / x = b / y

so,

[tex]\rm \frac{16}{x} = \frac{20}{4} \\\rm x = \frac{16}{5} \\\rm x = 3.2[/tex]

Therefore, from the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.

Learn more about the transversal proportionality theorem here:

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Related Questions

THIS IS THE 2ND TIME I SAY THIS PLZ HELP ME ASAP!!!!!!!!! THIS IS CONFUSING

Answers

Answer:

15

Step-by-step explanation:

i had this on a test

What is an
equation of the line that passes through the points (0, 2) and (5,8)?

Answers

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need ​

Answers

Answer:

[tex]September = 2697[/tex]

Step-by-step explanation:

Given

[tex]June = 1,898[/tex]

[tex]July = 2,643[/tex]

[tex]August = 2,287[/tex]

[tex]Expected = 9,525[/tex]

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

[tex]Total = 1898 + 2643 + 2287[/tex]

[tex]Total = 6828[/tex]

September is then calculated as follows:

[tex]September = 9525 - 6828[/tex]

[tex]September = 2697[/tex]

Hence:

2697 cans are still needed

need answer 4x+2+3x+3=180

Answers

Answer:

Step-by-step explanation:

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 175

x = 25

56 equals 128 reduced by z
Write the sentence as an equation.

Answers

Answer:

56 = 128-z

Step-by-step explanation:

Answer:

128-z=58

z=70

Step-by-step explanation:

I need HELP asap the teacher wants it do today PLEASE HELP

Answers

The point would be B since the distance says consistent from that point.

Answer:

i think Point C

Step-by-step explanation:

Because Point A is you walking to the bus stop-

Point B is u waiting at the bus stop-

And point C is u on the bus

Sorry if it didn't help :/

what is 67-u=182 i got 249 and ik it is wrong

Answers

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall

Answers

Answer:

16- this question is already here from other people! :-)

Step-by-step explanation:

Given A (-3, 4) and M(1, 2), find the distance AM

Answers

Answer:

[tex]d = 2\sqrt{5}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]

[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]

[tex]d = \sqrt{(4)^2+4}[/tex]

[tex]d = \sqrt{16+4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

Please do this if your smart please dont guess this is an important anwser​

Answers

Answer:

J''(- 3, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

Thus J(1, 1 ) → J'(- 1, 1 )

Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is

J'' = (3(- 1), 3(1)) = (- 3, 3 )

find the y-intercept and slope of the function’s graph, and find the equation for the function using the table in the picture.

y- intercept:
slope:
equation:

Answers

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

m = (9-5)/(3-2)

m = 4

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is y= 4x -3

The y intercept is -3 and the slope of line is 4 .

Then the equation of line will be : y= 4x -3

Given,

Points on x and y axis .

Standard equation of line :

y = mx + c

m = slope of line

c = y intercept

Now

Firstly find out the slope of line ,

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

m = (9-5)/(3-2)

m = 4

Now to calculate the value of y intercept

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is m = (y2-y1)/(x2-x1)

Know more about slope of line,

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Si el tamaño de una bacteria es 1,59 x 10-3 mm, ¿cuántos átomos de oxígeno caben a lo largo de ella? (Sabiendo que: el ancho de un átomo de oxígeno aprox. Es 4,804 x 10-9 cm).

Answers

An.

Step-by-step explanation:

which of the following options is the decimal equivalent of 2 7/9

2.8

1.5

1.6

2.7 (The seven has a line over it)

Answers

Answer: 2 . (7)

Step-by-step explanation:2 7/9 equals to 2.(7)

It is, a so called, 'repeating' decimal

`~hope i helped~

It would be 2.7 repeating
because
7/9 is .7777777777
and .777777 + 2 = 2.7777777

Find a pattern for the sequence below.
1, 4, 9, 16, 25, ...

Answers

Answer:

add 3, add 5, add 7, add 9

Step-by-step explanation:

1+3=4

4+5=9

9+7=16

16+9=25

add by odd numbers, for a simpler answer

The diagram at the right shows a path through a garden.

The approximate length of the path, p, can be found with the formula

[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]

Which of the following measures is closest to the length

of the path?

A. 10 m

B. 12 m

C. 13 m

D. 18 m

Answers

Answer: B  about 13 m

Step-by-step explanation:

Calculate 8²  = 64  and 10² = 100  Add to get 16

Then get √164 = =12.80624847

Round up to 13.  

Which of the following is not a rational number

Answers

Answer:

c

Step-by-step explanation:

NEED HELP IM BEGGING YOU PLEASE !!!!!

Answers

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

Add the following rational numbers -7.2 + (-4.28)

Answers

-11.48 hopefully I helped

Answer:

-11.48

Step-by-step explanation:

-7.2 + (-4.28)

-7.2 - 4.28

-11.48

The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers

Answers

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

PLZ HELP FOR A LOT POINTS!

Let f(x) represent the linear parent function.

Which descriptions match the given transformations?

Drag and drop the answers into the boxes.

1.) f(x+17)

2.) 17f(x)
​
f(x) ​is vertically stretched by a factor of 17.

f(x) is vertically compressed by a factor of 17.

f(x) is translated 17 units down.

f(x) is translated 17 units right.

f(x) is translated 17 units left.













PreviousNext

Answers

Answer:

Stretched vertically by a factor of 17 and translated 17 units left

Step-by-step explanation:

Answer:

1.) f(x)

is translated 17 units left.

2.) ​ f(x)

​is vertically stretched by a factor of 17.

Step-by-step explanation:

36 - (- 4) + 5 + (- 10) =

Answers

Answer:-370

Step-by-step explanation:

Answer: 35

Step-by-step explanation: 36−(−4)+5−10 =40+5−10

45-10=35 :) hope this helps!

Somebody help ...............................

Answers

D is the correct answer

After a dilation, a figure becomes similar or congruent

Answers

Answer:

The figure becomes congruent

3 3/4 + 5/12
help me plz lol​

Answers

Answer:

4 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.

Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]

Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

What is 3x+ x equal to?

Answers

Answer:

4x

Step-by-step explanation:


The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:yz

Step-by-step explanation:

hope this helps

final answer is c= 24 degrees

I am almost bankrupt asking the same question but....

1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3

Answers

Answer:

If you understand how I solved a you can do B. Keep at it!

Step-by-step explanation:

Dave answered 28 questions out of 40 correct on a test. What percent did he answer correctly?

Answers

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

Which of the following equations is equivalent to 2x+y = 7?
a
y = -2x +7
Ob
y = 2x +7
y=2x-7
y=-2x-7
Od

Answers

Answer:

a,y=‒2x+7

Step-by-step explanation:

2x+y=7

y=7‒2x or y=‒2x+7

i think it is easy to understand

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