In the diagram, P, Q, R, S, and T are collinear. PT=54 QT= 42 QS= 31 and RS= 17. Then find PQ, QR, ST, PS, PR, RT

In The Diagram, P, Q, R, S, And T Are Collinear. PT=54 QT= 42 QS= 31 And RS= 17. Then Find PQ, QR, ST,

Answers

Answer 1

   If the points like P, Q, R, S and T are collinear they will follow the segment addition postulate.

  Length of segments will be,

 PQ = 12 units

 QR = 14 units

 ST = 11 units

 PS = 43 units

 PR = 26 units

 RT = 28 units

It's given in the question,

P, Q, R, S, T are collinear.

And the lengths of different segments are,

PT = 54QT = 42QS = 31RS = 17

By segment addition postulate,

PQ + QT = PT

PQ = PT - QT

PQ = 54 - 42

     = 12 units

QR + RS = QS

QR = QS - RS

     = 31 - 17 = 14 units

ST = QT - QS

     = 42 - 31 = 11 units

PS = PT - ST

     = 54 - 11

     = 43 units

PQ + QR = PR

12 + 14 = PR

PR = 26 units

RS + ST = RT

17 + 11 = RT

RT = 28 units

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Related Questions

Need some help, please!

Answers

Answer:

Ans is D

In the figure, you are given that the radius is 10 inch. So, diameter will be 10*2= 20 inch.

Now,

C=πd

= 3.14*20 inch

=62.8 inch

There 1/2 of a pan of brownies. Sanaa wants to split the pan 5 friends. How much of the pan does each friend get?

Answers

Answer:1/10

Step-by-step explanation:

This word problem is a simple division. You have a total of 1/2 pan of brownies and you want to split to 5 friends.

Hence, (1/2)/5=1/(2*5)=1/10

Kiara desea contratar el servicio de una línea telefónica con internet para realizar sus clases virtuales. Si el costo de una línea de telefonía móvil con Internet es C = 10 + 1,5t (C, en soles; t, en horas).
- Expresa el costo de la línea telefónica móvil en función del tiempo.
- Determina el dominio y el rango de una función.
- ¿Cuál será el costo luego de 48 horas de consumo de la línea telefónica con Internet?

Doy coronita

Answers

a) Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

a) Nota - Puesto que la ecuación que describe el Coste ya existe en el enunciado, entonces se entiende el verbo "Expresa" como "Describa en sus propias palabras".

Como puede apreciarse el Coste de la línea telefónica móvil aumenta linealmente con el Tiempo de consumo por parte del usuario. En consecuencia, la función de Coste queda definida como sigue:

[tex]C(t) = C_{o} + r\cdot t[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Coste fijo, en soles.[tex]r[/tex] - Tasa de consumo, en soles por hora.

Entonces, tenemos que Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) Una característica de las Funciones Lineales es que tanto su Dominio como Rango comprenden al Conjunto de todos los Números Reales, al ser de Pendiente constante esta Función.

Por tanto, el Dominio y el Rango de la Función en cuestión es el Conjunto de todos los Números Reales.

c) Si sabemos que [tex]C_{o} = 10[/tex], [tex]r = 1,5[/tex] y [tex]t = 48[/tex], entonces el Coste Total por concepto de 48 horas de consumo es:

[tex]C(48) = 10 + 1,5\cdot (48)[/tex]

[tex]C(48) = 82[/tex]

El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

Invitamos a ver este problema sobre Costes: https://brainly.com/question/15723794

How did I do this ????

Answers

Answer:

I know the first one is 6, since there's 6 sides

The second one should be Plane BDHF, since those two are exactly the same

Don't know the third one

The fourth should be segments AC, EG, and FH since they're all the same

CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!

Answers

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

can someone solve this for me?

Answers

Answer:

9

Step-by-step explanation:

9 is 3/4*12.

Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …​

Answers

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

100divided 243 = ?
and bakugou or deku which one u guys like best

Answers

Answer:

0.411522634. dotn ask me how i got it (calculator)

Step-by-step explanation:

For each table, determine whether it shows that x and y are proportional. If x and y are proportional, fill in the blank with number in simplest form.
PLEASE HELP ME!?

Answers

Table 1 is proportional as y=6x
Table 2 is not proportional

Bottled Juice Canned Juice Time (minutes) Cases packaged V 110 100 90 80 2 Cases 92 70 60 50 40 30 20 10 3 138 184 1 2 3 4 5 6 7 8 9 10 11 Minutes Fill in the blanks to compare the unit rates at which the cases are filled. I 1. What is the unit rate for bottled juice, in cases per minute? Explain how you found this unit rate. Write your answer in the space below. 2. what is the unit rate for canned juice, in cases per minute? explain how you found this unit rate. 3. are cans or bottles packaged at a faster rate?​

Answers

Answer:

320  

Step-by-step explanation:

hope this helps :)

22. Jesse's fish hook was 12 feet below the top of the water. He let out
some of his line, and the hook sunk another 3 feet. What is the depth of the
fish hook now? Write an addition problem, and then give the answer.

Answers

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

can someone help me please?

Answers

16x -4 = 28

Add 4 to both sides:

16x = 32

Divide both sides by 16:

X = 2

Answer:

2

Step-by-step explanation:

16x-4=28

16x=32

x=32/16

=2

4. Line segment CD is the perpendicular bisector of line
segment AB. Is line segment AB the perpendicular
bisector of line segment CD?

Answers

The line AB is not a perpendicular bisector of CD.

Perpendicular bisectors are lines that divides another line into two equal parts.

From the diagram, we can see that line CD cuts AB at the centre. Hence we can say that CD is a perpendicular bisector of AB.

The same is not applicable to line AB passing through CD. The line AB did not bisect (divide equally) line CD.

Hence we can conclude that line AB is not a perpendicular bisector of CD.

Learn more here: https://brainly.com/question/17335869

3. Simplify each expression
a. 5/8 + 3/16 =

Answers

Answer:

[tex] \frac{5}{8} + \frac{3}{16} \\ = \frac{5}{8} \times \frac{2}{2} + \frac{3}{16} \\ = \frac{10}{16} + \frac{3}{16} \\ = \frac{13}{16} \\ thank \: you[/tex]

Answer:

13/16

Step-by-step explanation:

first make equal denominators

(5/8) x 2 = 10/16

= 10/16 + 3/16

= 13/16

Set up a proportion to solve for x in the following similar triangles,
12
15
8 X-4

Answers

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

The coordinate midpoint for AE

Answers

I dunno what your question ask

What is 52,067 in expanded form?

Answers

(5x10 to the 4th power) + (2x10 to the 3rd power) + (6x 10) + (7x1)

0.8 divided 11.08 plz give me answer

Answers

Answer: 0.8/11.08= 0.07220216606 or .0.7

Hope this helps!

Find the perimeter. Simplify your answer.
75+3
.
8s-4
85-4
7s+3

Answers

2(7s + 3) + 2(8s - 4) =

= 14s + 6 + 16s - 8 =

= 14s + 16s + 6 - 8 = 30s - 2 ← the end

Given F is the midpoint of EG. FE is 6x + 7 and EG is 18x - 4. What is the value of x?

Answers

 Mid point of a segment divides the segment in two equal parts.

Value of x is 3.

  It's given in the question,

EG = (18x - 4)F is the midpoint of EG.

Therefore, EF = FG = (6x + 7)

And EF + FG = EG (By segment addition postulate)

Now substitute the values in the expression

(6x + 7) + (6x + 7) = (18x - 4)

12x + 14 = 18x - 4

12x - 18x = -14 - 4

-6x = -18

x = 3

            Therefore, the value of x is 3.

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https://brainly.com/question/3225782

i need help please, this question has been giving me a headache.

Answers

Answer:

The first box (upper left corner)

Step-by-step explanation:

Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.

Example:

y = 3x + 2 (0,2) is the y-intercept.

Therefore, the second number must equal 1/4 which the first box is correct.

(Negative 1/4 multiplied by -1 equals positive 1/4)

What is the value of 36x - 8y? when x = 3 and y = -6?

Answers

Answer:

156

Step-by-step explanation:

just plug in the x and y values

Solve Y+3/5 = 1 1/10

Answers

Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

Select all of the correct forms of 806,510.
A 800 + 6 + 500 + 10
B eight hundred six thousand, five hundred ten
C 800,000 + 6,000 + 500 + 10
D eight hundred six, five ten
80 000 + 6,000 + 500 + 10

Answers

Answer:

it is a, b, and c, but not d

Ronaldo catches the bus at 4:00 PM to ride 3.2 miles from his house to the dentist office. He arrives at 4:30 PM, for a one hour appointment. Then he rides a bus traveling at the same rate of speed for 4.8 miles to the soccer field. Is he on time for his 6:30 PM soccer practice? PLEASE HELP!!

Answers

The trip from home to dentist is 3.2 miles and takes (less than?) 30 minutes
The average bus speed is 6.4 miles/hour.
Since the dentist appointment finishes at 5:30pm and he has an hour to go 4.8 miles, he will be on time to soccer.

I need help with these problems from #33 to #40 can someone please help me with them ASAP please and thank you.. can you show step by step please and thank you .. this was due today

Answers

#33

[tex]\\ \sf\longmapsto \dfrac{300(300+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{300(301)}{2}[/tex]

[tex]\\ \sf\longmapsto 150(301)=45150[/tex]

#34

[tex]\\ \sf\longmapsto \dfrac{500(500+1)}{2}[/tex]

[tex]\\ \sf\longmapsto 250(501)[/tex]

[tex]\\ \sf\longmapsto 125250[/tex]

#35

[tex]\\ \sf\longmapsto \dfrac{675(675+1)}{2}[/tex]

[tex]\\ \sf\longmapsto dfrac{675(676)}{2}[/tex]

[tex]\\ \sf\longmapsto 675(338)[/tex]

[tex]\\ \sf\longmapsto 228150[/tex]

#36

[tex]\\ \sf\longmapsto \dfrac{825(825+1)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(826)}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{825(413)}{1}[/tex]

[tex]\\ \sf\longmapsto 340725[/tex]

#37

n=102/2=51

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 51^2[/tex]

[tex]\\ \sf\longmapsto 2621[/tex]

#38

n=49+1/2=50/2=25

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 25^2[/tex]

[tex]\\ \sf\longmapsto 625[/tex]

#39

n=999+1/2=1000/2=500

[tex]\\ \sf\longmapsto n^2[/tex]

[tex]\\ \sf\longmapsto 500^2[/tex]

[tex]\\ \sf\longmapsto 250000[/tex]

How do I work this out (don’t tell me the answer) quickest reply gets brainiest

Answers

Answer:

2/7 divided by 3/4

So we can't divide fractions but what we can do is multiply them.

The First step is to do KCF (Keep, Change, Flip)

So It will be 2/7 TIMES 4/3. Keep 2/7 change the division sign to multiplication sign and flip 3/4 to 4/3. Now Multiply normally.

I hope this helps you find the correct answer <3

Find the value of the variable
X=

Answers

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

X=20 I think not sure

Multiply.

(−2.07)(4.6)

Enter your answer in the box.

Answers

-9.522 it is so easy

How many Christmas trees were sold on sat and sunday?

Answers

Hello :D

Let's form an equation:

x/5 = 27

Let's form another equation:

(x+y)/7 = 34

Rearrange equation one so it is x = 27 x 5 = 135

Now we can substitute this value into equation 2:

(135 + y)/7 = 34

135 + y = 238

y = 238 - 135

y = 103

Answer is 103

Answer:

103 christmas trees.

Step-by-step explanation:

total trees sold in the first five days:

[tex]27 \times 5 = 135[/tex]

total trees sold in this week:

[tex]34 \times 7 = 238[/tex]

The answer is:

[tex]238 - 135 = 103[/tex]

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