If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.

If R Is The Midpoint Of OS , RS = 2x - 4, ST = 4x 1, And RT = 8x 43, Find QS.

Answers

Answer 1

Answer:

56

Step-by-step explanation:

Answer 2

The numerical length of QS is 128.

We have a Line Segment QT and a point R lies on the midpoint of QS.

We have to determine length of QS.

What is Mid - Point of a line?

The mid - point of a line is a point that divides it into two parts of equal lengths.

According to question, we have -

RS = 2x - 4

ST = 4x – 1

RT = 8x – 43

Since, R is the midpoint of QS -

QR = RS = 2x - 4

QS = QR + RS = 2 x QR = 2(2x - 4)

Now -

ST = RT - RS

ST = 8x - 43 - 2x + 4

ST = 6x - 39

and

ST = 4x - 1     [Given]

Therefore -

6x - 39 = 4x - 1

6x - 4x = - 1 + 39

2x = 38

x = 19

Now -

QS = QR + RS = 2RS

QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128

Therefore -  QS = 128

Hence, the numerical length of QS is 128.

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Related Questions

A 3m ribbon is cut into two pieces.The shorter length measures 0.75m.Write the ratio of the shorter length to the longer length in the simplest form a:b,

Answers

Answer:

let length of Ribbon B l

Therefore

L=30

Ribbons cutted in ratio 5 is to 3

Therefore length of ribbonS

Be 30*5

=150

And 3*30=90

Therefore lengths of ribbons be 150 and 90

hope this helps :)

have a great day ahead!

write in vertex form
f(x)=x^2+12x+34

Answers

Answer:

(-6, -2)

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 12x + 34[/tex]

[tex] = f(x) = {1x}^{2} + 12x + 34[/tex]

= a = 1, b = 12

[tex] = x = - \frac{12}{2 \times 1} [/tex]

[tex] = x = - \frac{12}{2} [/tex]

= x = -6

[tex] = f(x) = {x}^{2} + 12x + 34.. = - 6[/tex]

[tex] = f( - 6) = - 2[/tex]

= (-6, -2)

Michael would like to build a fence around his paddock.
The diagram is not to scale.
5
4
X
V
Find a simplified expression for the perimeter of his paddock.

Answers

Answer:

Step-by-step explanation:

a student evoluated -4 + x for x = -9 and got an answer of 5. what might the student have done wrong

Answers

Answer:

The student may have forgotten the negative signs.

Step-by-step explanation:

Obviously, 4+5 = 9. However, this student may have forgotten that negative plus negative is equal to further negative, which is what we want. Instead, the answer 5 was provided, which leads to an incorrect sum of 1.

Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total

Answers

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

9. List the set of integers such that -3 IF YOU ANSWER I GIVE YOU STAR

Answers

the answer would be -2,-1,0,1,2,3,4

what does it mean for segments to be congruent?

Answers

Answer:

see explanation

Step-by-step explanation:

If segments are congruent then they are equal in length

This is line segments

Answers

Step-by-step explanation:

[tex]here \: given \: that \: total \: lenth = bd = 67 \\ then \: bd = bc + cd \\ so \: we \: can \: write \: that \\ 67 = 3x - 2 + 4x + 13 \\67 = 3x + 4x - 2 + 13 \\ 67 = 7x + 11 \\ 7x = 67 - 11 \\ 7x = 56 \\ x = \frac{56}{7} \\ x = 8 \\ thankyou[/tex]

Answer:

[tex]\huge\boxed{\sf 22}[/tex]

Step-by-step explanation:

By looking at the line segment, we get to know that:

BD = BC + CD

Given that:

BD = 67

BC = 3x - 2

CD = 4x + 13

Solution:

Put the givens in the above equation made.

67 = 3x - 2 + 4x + 13

67 = 3x + 4x - 2 + 13

67 = 7x + 11

7x = 67 - 11

7x = 56

Divide both sides by 7

x = 56 / 7

x = 8

Now, Finding BC:

= 3x - 2

Put x = 8

= 3(8) - 2

= 24 - 2

= 22

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

What’s the answer???

Answers

Answer:

Step-by-step explanation:

Find the area of the shape shown below.
1
3
3
7
7
Can you pls help this is due soon

Answers

Answer:  31.5 square units

Explanation:

The area of the rectangle is length*width = 7*3 = 21 square units

The area of the triangle is 0.5*base*height = 0.5*7*3 = 10.5 square units

The combined area is 21+10.5 = 31.5 square units

Mrs. Magee purchased 3 ice cream cones with a $10 bill. Mrs. Magee was given $2.86 in change. What is the price of one ice cream cone?

Answers

Answer

5.56

Step-by-step explanation

The price of one ice cream cone is $2.38

The given parameters;

the money given by Mrs Magee for the 3 ice cream cones = $10the change given to Mrs Magee = $2.86

The actual amount Mrs Magee purchased the 3 ice cream cones;

Total amount paid = $10 - $2.86 = $7.14

The price of one ice cream cone is calculated as follows;

[tex]Price \ of \ each = \frac{Total \ cost}{total \ number } \\\\Price \ of \ each = \frac{\$7.14}{3} = \$2.38[/tex]

Thus, the price of one ice cream cone is $2.38

Learn more here: https://brainly.com/question/20814121

solve for x giving brainlest

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex] - 3( - 5x + 2) + x - 3 = 39[/tex]

[tex]15x-6+x-3 = 39[/tex]

[tex] 16x-9= 39[/tex]

[tex] 16x= 39+9[/tex]

[tex] 16x=48[/tex]

[tex]x = 48-16[/tex]

[tex]x = 3[/tex]

Hope it is helpful.....

Answer:

x = 3

Step-by-step explanation:

Given

- 3(- 5x + 2) + x - 3 = 39 ← distribute parenthesis and simplify left side

15x - 6 + x - 3 = 39

16x - 9 = 39 ( add 9 to both sides )

16x = 48 ( divide both sides by 16 )

x = 3

Write 2.71 as a simplified fraction.

Answers

Answer:

[tex] \frac{271}{100} [/tex]

Step-by-step explanation:

hopefully it makes sense

:)

The decimal 2.71 can be written as the simplified fraction as 271/100.

What are Fractions?

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

The given number is 2.71.

We can write 2.71 as 2.71 / 1, since any number divided by 1 is the number itself.

Multiplying both numerator and denominator of 2.71 / 1 with 100, we get,

(2.71 × 100) / (1 × 100)

= 271/100

This cannot be simplified further since 271 is a prime number.

Hence the simplified fractional form of 2.71 is 271/100.

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If the point (12,-2) changes to (-12,-2) in what quadrant would it be located?

Answers

Answer:

i think its Quadrant 3, since their both negatives

a) State in plain language the null and alternative hypotheses for this test. (b) Calculate the expected cell counts for this dataset if the null hypothesis were true. Infection No Infection Received one vaccine shot Unvaccinated (c) Calculate the 1 test statistic for this dataset. d For degrees of freedom of 1. a value of 12.12 corresponds to a p-value of 0.0005. Based on this. what do you conclude about the original null hypothesis

Answers

Answer:

.

Step-by-step explanation:

Which of the expressions are equivalent to the one below? Check all that
apply.

3. (1+5) + 6.9


A. 3. (5 + 1) + (69)


B. (6.9) + 3. (5 + 1)


C.3.1 +3.5+ 9.6


D. (3 + 1). (3 + 5) + (69)




Answers

Answer:

Only B,

Step-by-step explanation:

Because it is all addition it does not mater what order they are in,..

Drag the numbers below to put them in order from least to greatest:
2.2
2.291 2.27% 2.14 2.26 2.221
Wats the answer?

Answers

2.27% is the least number because since it is a percentage when converted it is 0.0227.
So the answer is :
2.27%, 2.14, 2.2, 2.221, 2.26, 2.291

Find the missing exponent.
8) 6X = 7,776

Answers

Answer:

x=1,296

Step-by-step explanation:

6x=7,776

  x=7,776/6

   x=1,296

1296 is the answer bc of math

What is the midpoint of (-2,-2) and (-3,-5)

Answers

Answer:

(-7/2, -5/2).

Step-by-step explanation:

[(-5 + (-2))/2),  (-3 + (-2))/2)]

= (-7/2, -5/2).

If it takes 20 minutes to walk 5 blocks and I walk back 2, how many minutes did it take ??

Answers

Answer:

12 minutes

Step-by-step explanation:

steps are in picture below.

And if you have any question about it you can ask.

The zoo in Samir's city is building a new habitat for its 7 spider monkeys. The habitat will
have trees, ladders, and vines in a cube-shaped cage that measures 14 meters on each side.
What is the volume of the new monkey cage?

Answers

Answer:

Step-by-step explanation:

It's a cube. The volume formula is V = s * s * s

s = 14 meters

V = 14 * 14 * 14

V = 2744 m^3

100 POINTS!!! If you write the wrong answer you will be reported! (Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.)

Answers

Answer:

4

We know that

Area of rectangle = lb

Area = 10(20)

Area = 200 m²

Shaded region = πr²

=> 2 × 22/7 × (10/2)²

=> 2 × 22/7 × 10/4

=> 157 m²

Probability = 157/200 = 78.5%

5.

Area of the biggest circle = πr²

= 22/7 × (20)²

= 1256.6

Area of shaded region

π(10² - 5²)

π(100 - 25)

3.14(75)

235.6

Probability = 235.6/1256.6 = 18.7%

Ayuda por favor [0,3 ∞ °] necesito determinar la desigualdad que representa el intervalo.

Answers

Answer:

1/2 of an answer is zero

Step-by-step explanation:

If a = 4-√15, then what is the value of :
1) a² + 1/a²
2) a³ + 1/a³
3) a∧4 + 1/a∧4

Answers

9)a_4+1/a^4929484857382929

let me know if any questions

In the pair of supplementary angles shown below, the measure of the smaller angle is 36°.


Complete the equation that could be used to represent this situation. Then, solve the equation to complete the sentences.

120
36
34
180
38
144
90
56

(4x - 8) + =
The value of x is
The measure of the larger angle is
NO SILLY ANSWERS!

Answers

Answer:

38

Step-by-step explanation:

(4x-8)+36 = 180

4x - 8+36 = 180

4x +28 = 180

4x = 180-28

4x = 152

x = 152/4

x = 38

22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?

Answers

Answer:

Juan- $238

Mary- $147

Step-by-step explanation:

if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.

SOMEONE HELP ME PLEASE

Answers

Second one

Im pretty sure :)

The answer is 1 [tex]\frac{5}{16}[/tex] in

If helpful, brainliest please !

Consumer Math

Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.

Answers

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

Learn more about strategy here:

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Can someone please help me with problem 9x-7=-7

Answers

Answer:

9−7=−7

9−7+7=−7+7

9=0

9/9=0/9

=0/9

=0

Step-by-step explanation:

9−7=−7

9−7+7=−7+7

9=0

9/9=0/9

=0/9

=0

I subtract 14 from a certain number I multiply the result by 3 the final answer is 3 what was the number

Answers

Answer:

15.

Step-by-step explanation:

3(x - 14) = 3

3x - 42 = 3

3x = 42 + 3 = 45

x = 15.

Let the number = x

Set up the equation:

3(x-14) = 3

Simplify:

3x -42 = 3

Add 42 to both sides

3x = 45

Divide both sides by3

X = 15

The number is 15

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