Point R is on line segment \overline{QS} QS ​ . Given QR=4,QR=4, QS=4x,QS=4x, and RS=5x-9,RS=5x−9, determine the numerical length of \overline{RS}. RS .

Answers

Answer 1

Answer:

  RS = 16

Step-by-step explanation:

The segment addition theorem tells you ...

  QR +RS = QS

  4 + (5x-9) = 4x

  x = 5 . . . . . . . . . . . add 5-4x

Then the length of RS is ...

  RS = 5(5) -9

  RS = 16


Related Questions

Solve 2(x+1)+4=8 and can you please show me a step by step

Answers

Answer:

x = 1

Step-by-step explanation:

2(x + 1) + 4 = 8

2x + 2 + 4  = 8

2x + 6 = 8

2x = 8 - 6

2x = 2

x = 2 / 2

x = 1

A committee of three students met with the principal today and agreed that Rachel will report to the principal every $9$ days, Jessica every $12$ days, and Richard every $15$ days. What is the least number of days before all three will again report to the principal on the same day?

Answers

Answer:

180 days

Step-by-step explanation:

To solve for the least number of days all three will again be report to the principal, find the lowest common multiples of all three of them

Rachel will report to the principal every 9 days, Jessica every 12 days, and Richard every 15 days

Rachel (every 9 days) = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180

Jessica (every 12 days) = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180

Richard (every 15 days) = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180

The lowest common multiples of 9 days, 12 days, 15 days is 180 days

Therefore, the least number of days all three will report again to the principal is 180 days

How are rational numbers and Integers similar? How are they different?

Answers

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers. They are different because Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… is a rational number but not an integer. All rational numbers belong to the real numbers. If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites.

Step-by-step explanation:

I don’t really know sorry

two less than eight times a number is the same number as the number +12

Answers

Answer:

94

Step-by-step explanation:

12x8 is 96, 96-2=94

Who statement is true

Answers

Answer:

C) f(2)=0 and g(-2)

Step-by-step explanation:

You start by looking at each graph and the given x values.

Check what value is at x=2 on the bue graph for your f(x), in this case it's 0. It's the same process for the red graph, g(x), which is 0.

If m∠DEF = 117°, find the value of x

Answers

Answer:

x = 7

Step-by-step explanation:

Given:

∠DEF = 117°

∠DEG = (12x + 1)°

∠GEF = (5x - 3)°

Find:

value of x

Computation:

∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17 x - 2

x = 7

Add the following

- 62 + (- 65)=

Answers

Answer:

-127

Step-by-step explanation:

-127 is your answer

-45.6 divided by -1.2

Answers

Step-by-step explanation:

hope I could help :) used a calculator

find the quotient 2/5÷1/4

Answers

Answer:

8/5

Step-by-step explanation:

9. The value of the 8th term is 78. The sequence is increasing by 10 at each step. Explicit equation: y = 10x - 2 Recursive: now = previous term + 10 Find the 20th term. Explanation: Find the 20th term *​

Answers

The 20th term is 198

Which are perfect square trinomials? Select two options.

x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36

Answers

Answer:

C. x2 − 4x + 4

D. x2 + 10x + 25

Step-by-step explanation:

On edge 2021

The two perfect square trinomial  are

x2 − 4x + 4x2 + 10x + 25Options C and D are correct

Perfect square trinomial

Perfect square trinomial is an algebraic expression takes the  form

ax2 + bx + c,

A Perfect square trinomial gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are

x2 − 4x + 4x2 + 10x + 25

More on Arithmetic

https://brainly.com/question/22568180

What is the area of this figure?
5 cm
6 cm
8 cm
2 cm
2 cm
3 cm
2 cm
10 cm

Answers

Answer:

85.1 (I think)

Step-by-step explanation:

2×2=4

5×2=10

5×6=30

(3×10)÷2=15

3squared+10squared=√109=10.44

5×10.44=52.2÷2=26.1

26.1+4+10+30+15=85.1

I need the Answer to the question plz

Answers

Answer:

9

Step-by-step explanation:

[tex]15-\frac{10}{5} -2^{2}[/tex]

[tex]15-\frac{10}{5}-4\\15 -2-4\\13-4\\=9[/tex]

Solve: - (g+ 12) = 5(9-12)

Answers

Answer:

Step-by-step explanation:

-g - 12 = 5g - 60

-6g - 12 = -60

-6g = -48

g = 8

the area of square is 36 square meters. what is the length (in meters) of one side in the square

Answers

Answer:6m

Step-by-step explanation:

Square root 36m²

The required length of the side of the square is 6 meters.


Given that,
the area of the square is 36 square meters, what is the length (in meters) of one side in the square needs to be determined.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
Since all the sides of the square are identical and the square is a polygon also.

Area of square = (side)²
we have given the area of a square, i.e. 36
36 = side²
side = √36
side = 6  (since √36 = 6)
Implies length of its side is 6 meters

Thus, the required length of the side of the square is 6 meters.

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2


Use money sentences to simplify: -10-5

Answers

Answer:

The answer is

-15: I owe $10. I owe $5.

What is the approximate value of ?

Answers

Answer:

An approximate value by defect of a number is a value that is close to this number, less than it, as close as possible, and with a requested level of precision.

Step-by-step explanation:

Is that what your asking.

Answer:

dee.?.

no hay ndaa

Please help Asap almost done

Answers

Answer:

question 11 is d   and question 12 is g   hope it helps

Step-by-step explanation:

subtract 24.65from 75              

add both fractions

I already know the answers but I need someone to help/show me what it looks like solved on a number line

Answers

Answer:

[see below]

Step-by-step explanation:

3 * (-5) = -15

Locate the '-15' line and plot a closed circle on it.

-2 * -3 = 6

Locate the '6' line and plot a closed circle on it.

Hope this helps.

A football match started by 10.25am and ended by 1.35pm. how long did it last?​

Answers

Answer:

The match last for 3 hours and 10 minutes.

Step-by-step explanation:

Match started at 10.25 am

Match ended at 1.35 pm

We need to find how long did the match last.

Minutes between 10.25 am to 11 am = 35 minutes

Minutes between 1 pm to 1.35 pm = 35 minutes

Time between 11 am to 1 pm = 2 hours

Time between 10.25 am and 1.35 pm is :

T = 2 hours 70 minutes

But 1 hour = 60 minutes

T = 2 hours (60+10) minutes

T = 3 hours 10 minutes

It means the match last for 3 hours and 10 minutes.

what is the midpoint of the points: (-1,-5) and (-5,9)

Answers

Answer:

i think its m= −7/ 2 but i don't think its right ;-;

Step-by-step explanation:

How many solutions does the equation 4y + 7 = 5 + 2 + 4y have? (1 point)

Answers

First, combine like terms on the right side.

[tex]5+2+4y=4y+7[/tex]

Since these are the exact same line, any x value you input will get you the same y value, meaning that there is an infinite number of solutions.

Hope this helps.

頑張って!

What is the domain of the square root function graphed below?

On a coordinate plane, a curve opens down to the right in quadrant 1. The curve starts at (3, 1) and goes through (4, 2) and (7, 3).
x greater-than 1
x greater-than-or-equal-to 10
x greater-than 3
x greater-than-or-equal-to 3

Answers

Answer:

The answer is D on edge!

Answer:

x greater - than - or - equal -to 3

Clear parentheses and combine like terms:​

Answers

Answer:

[tex] -40s + 90t + 30 [/tex]

Step-by-step explanation:

Given, [tex] -10(4s - 9t - 3) [/tex]

To clear parenthesis using the distributive property of multiplication, we have,

[tex] -10(4s) -10(-9t) -10(-3) [/tex]

Negative sign multiplied by negative sign = positive sign

[tex] = -40s + 90t + 30 [/tex]

Thus:

[tex] -10(4s - 9t - 3) = -40s + 90t + 30 [/tex]

The quiz grade of a math class are given. 81,75,68,97,69,81,89,74,75,82,91,90 the grades are normally distributed with a mean of 81 and a standard deviation of 9.2. What is the z score of the lowest grade in the quiz ? Round the answer to the nearest hundredth.

Answers

Answer:81

Step-by-step explanation:

Answer:

-1.41

is the answer i I took the quiz

You deposit the same amount of money in a bank account each month. You deposit a total of $660 in 1 year. How many months does it take for you to deposit $2310?

Answers

Answer: 42 months

Explanation: Every month you have deposited $55. $2310 divided by $55 would be 42 months.

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 2 and flipping heads? Write
your answer as a fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

Evaluate: 3(2f - g) + 4h for f = 2, g = -1 and h = 3

Answers

Answer:

27

Step-by-step explanation:

6f - 3g + 4h

6(2) - 3(-1) + 4(3)

12 + 3 + 12

27

Answer:

Step-by-step explanation:

3(2(2)  + 1 ) + 4(3)

3(4 + 1) + 12

3(5) + 12

15 + 12

27

evaluate the expression 3x + 2(x-1) when x = 3

Answers

Answer:

[tex]3(3) + 2(3 - 1)[/tex]

[tex]9 + (6 - 2)[/tex]

[tex]9 + 4[/tex]

[tex]13[/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

Sam made ten to add 7 + 2 + 6 Enter number to complete the equation. Sam first added 7 + 2 = 9. Then he made 10 to find the find the sum. The sum is 4 + 6 = 10 + ? = ?

Answers

Answer:

So we have the addition.

7 + 2 + 6.

First, she added the 7 + 2 = 9

So we can replace that in our addition as:

7 + 2 + 6 = (7 + 2) + 6 = 9  +  6

Now, we can use 9 = 5 + 4, and replace that in the addition.

Then we have:

9 + 6 = (5 + 4) + 6

And we know that 4 + 6 = 10.

Then:

5 + 4 + 6 = 5 + (4 + 6) = 5 + 10 = 15.

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