where RS = 6y + 2, ST = 2y + 7, and RT = 13y - 21.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete but a possibility is that the given parameters are points  on a straight line.

I'll answer base on that assumption.

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

To solve for y, we have that:

[tex]RT = RS + ST[/tex]

This gives:

[tex]13y - 21 = 6y + 2 + 2y + 7[/tex]

Collect Like Terms

[tex]13y - 6y - 2y = 21 +2+7[/tex]

[tex]5y = 30[/tex]

Divide both sides by 5

[tex]y = 6[/tex]

To get the measure of each line. Substitute 6 for y in

[tex]RS = 6y + 2[/tex]

[tex]ST =2y + 7[/tex]

[tex]RT =13y -21[/tex]

[tex]RS = 6 * 6 + 2 = 36 + 2 = 38[/tex]

[tex]ST = 2*6 + 7 = 12 +7 = 19[/tex]

[tex]RT = 13*6 - 21 = 78 - 21 = 57[/tex]


Related Questions

Tom bought 2.1 pounds of each type of fruit shown on the sign. What was the total cost of the fruit he brought.

Answers

Answer:

Can I see the sign?

Step-by-step explanation:

how many solutions does 10+5x/15=4 have

Answers

Answer:

3

Step-by-step explanation:

Standard form

1/3 x +6 = 0

Factorization

1/3 (x + 18) = 0

Solutions

x = -90/5 = 18

Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away initially and save $10 every month. The second option is to put $300 away initially and save $30 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?

Answers

Answer:

After 5 months, both options will have saved 450$

Step-by-step explanation:

The first option can be modeled with the expression

400 + 10x

The second option can be modeled with the expression

300 + 30x

The variable x represents the months so in order to find the month where Tina saves the same amount, we set the expressions equal to each other.

400 + 10x = 300 + 30x

solve for x

20x = 100

x = 5

After 5 months, Tina will save the same amount of money which is

400 + 10*5 = $450

At a local high school, 40% of the students drink soda regularly, 30% of the students drink coffee regularly, and 10% of the students drink both regularly. If a
student is randomly selected from this school, what is the probability that the student drinks soda or coffee regularly?
A. 70%
B. 20%
C. 80%
D. 60%

Answers

Answer:

c he is your answer dear friend‍♀️‍♀️

Probability that the student drinks soda or coffee regularly is 60%

Option D is correct

Percentage of students that drink soda regularly, P(s) = 40%

Percentage of the students that drink coffee regularly, P(c) = 30%

Percentage of students that drink both coffee and soda regularly,

P(s and c) = 10%

Percentage of students that drink coffee or soda regularly is:

P(s or c) = P(s)  +  P(c) - P(s and c)

P(s or c) = 40  +  30 - 10

P(s or c) = 70 - 10

P(s or c) = 60

Probability that the student drinks soda or coffee regularly is 60%

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Two machines just completed projects at the same time. Machine A complete a project every 1.25 minutes. Machine B completes a project every 4.5 minutes. How long will it be until both machines complete a project at the same time again?

Answers

Answer:

5.75

Step-by-step explanation:

1.25 +4.5 =5.75(the time =the addition of the both times)

PLEASE HELP!! 50 points MATH

Answers

Answer:

1) No

2) yes

3) no

Step-by-step explanation:

1)

[tex] \sqrt{5} [/tex]

It cannot be simplified

2)

[tex] \sqrt[3]{8} [/tex]

[tex] \sqrt[3]{(2) {}^{3} } [/tex]

[tex]2[/tex]

It can be simplified

3)

[tex] \sqrt{3} + 5[/tex]

It cannot be simplified

Identify how many rulers Rome had between A.D.180 and A.D.284.​

Answers

Answer:

29

Step-by-step explanation:

Mia is 6.94944 x 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume a year has 365 days and a month has 30 days

Answers

Answer:

13yrs 4mths 26days

Step-by-step explanation:

13yrs 4mths 26days

Drag all of the steps necessary into the box to find the product of 2 . 7 × 6 . 4 using partial products.

Answers

The product of the numbers 2.7 x 6.4 using partial products is 17.28

How to calculate the value?

In order to get the product of the values using partial products, we will use the concept of repeated addition as shown:

2.7 x 6.4

For 2.7 = 2.0 + 0.7

6.4 = 6.0 + 0.4

Substituting the sum into the product, we will have:

2.7 x 6.4 = (2.0 + 0.7)  x (6.0 +0.4)

2.7 x 6.4 = 2.0(6.0) + 2(0.4) + 0.7(6) + 0.7(0.4)

2.7 x 6.4 = 12 + 0.8 + 4.2 + 0.28

2.7 x 6.4  = 17.28

Therefore, the value is 17.28.

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Solve using elimination.
- 9x + 2y = 5
-9x + y = -2

Answers

Answer:

(1 , 7)

Step-by-step explanation:

The answer is

(X,y)=(1,7)

Two spoiled dogs eat a total of 18 treats in a certain amount of time. How many spoiled dogs will eat 72 treats in the same amount of time, assuming each dog eats treats at the same time

Answers

Answer:

8 spoiled dogs can eat 72 treats

Step-by-step explanation:

Answer:

8 spoiled dogs

Step-by-step explanation:

2 spoiled dogs = 18 eaten treats

18 eaten treats x 4 =72 eaten treats

2 spoiled dogs x 4 = 8 spoiled dogs

Midpoint................

Answers

Answer:

EG =7

Step-by-step explanation:

Please mark me brainliest and 5 star

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]look \: picture[/tex]

[tex]pls \: mark \: as \: brainliest[/tex]

At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Now, there is 1/3 less than that. How many ounces of peanut butter is in the pantry now?
wich one is correct

A)( 1 + 1 3 ) ⋅ 80

B)802 3 ⋅ 80

C)801 3 ⋅ 80

D)80-1/3

Answers

Answer:

c

Step-by-step explanation:

solve the system using the elimination method. write solution as a orders pair.

3x+2y=22

-x+4y=22

please help!!!​

Answers

Answer:

4x-2y=0

Step-by-step explanation:

Ok

so you need to subtract

(3x+2y=22)-(-x+4y=22)

Use distributive property and take away parenthesis

3x+2y=22+x-4y=-22

----------------------------

3x+2y=22

x-4y=-22

------------------------------

4x-2y=0

Brainliest Please

Answer:

( [tex]\frac{22}{7}[/tex] , [tex]\frac{44}{7}[/tex] )

Step-by-step explanation:

3x + 2y = 22 ....... (1)

- x+ 4y = 22 ........ (2)

3 × (2) + (1)

(3x - 3x) + (2y + 12y) = 22 + 66 ( variable "x" is eliminated )

14y = 88

y = [tex]\frac{44}{7}[/tex]

- x + 4( [tex]\frac{44}{7}[/tex] ) = 22

x = [tex]\frac{176}{7}[/tex] - [tex]\frac{154}{7}[/tex] = [tex]\frac{22}{7}[/tex]

( [tex]\frac{22}{7}[/tex] , [tex]\frac{44}{7}[/tex] )

find the derivative of the following:

y= -x^3(3x^4 - 2)​

Answers

Answer:

Step-by-step explanation:

What is the average rate of change from x = 1 to x = 5?

Answers

the average rate of change is two

so m=2


Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 6 and side AC has a length of 12 what is the length of side CD? Write your answer to the
nearest hundredth ie 179.50.

Answers

Using the Pythagorean Theorem, we can determine that the length of CD is 11.62, rounded to the closest hundredth.

How Should One Put the Pythagorean Theorem Into Practice?

When the length of the longest side of a right triangle is squared, the result will be equal to the total of the squares of the lengths of the other two sides of the right triangle that are smaller.

Taking into account the following:

Side AB = 6

Side AC = 12

The perpendicular bisector theory states that AD equals half of AB, which equals half of (6), which equals three.

By using the Pythagorean theorem, we get the following:

The length of the CD is equal to (AC2 - AD2)

The length of the CD is equal to 122 minus 32.

The length of the CD equals (144 - 9)

11.62 is the length of the CD.

Consequently, by using the Pythagorean Theorem, we can determine that the length of the CD is 11.62, rounded to the closest hundredth.

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(2a+b)/(2a-b)

/ - division sign

Answers

Answer:

WHAT ON EARTH

Step-by-step explanation:

Please I need help with this

Answers

Answer:

J

Step-by-step explanation:

x = the number of guests

y = the charges per guest

400 = the rental fee for the banquet

HOPE THIS HELPS <333333

-Silver

If -1 2/3 is subtracted from 5 1/2, what will be the result?

a. negative
b. greater than 4
c. positive, but less than 4
d. equal to 4​

Answers

C    

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When subtracting a negitive number from a positive number the difference ends up being a positive. The answer is 7, therefore, greater than 4.

Aiden reads a few books of his book on on day one.

Answers

Answer:

ok

Step-by-step explanation:

Which of the following give a decimal answer whose non-zero digits repeat infinitely many times ? Select all that apply .


1. 12/8
2. 3/7
3. 7/9
4. 3/2
5.3/11

Answers

i think
7/9
5.3/11

because 7 divided by 9 is .77777 forever and 5.3 divided by 11 is .481818181 forever,

Wendy purchased 9 pizzas for x dollars. She spent a total of
$85.50. Which equation expresses how much Wendy spent on pizza? *

Answers

Answer:

x = $9.50

Step-by-step explanation:

85.50 / 9 = 9.5 sooo..

hope this helped!

Simplify: -x + 8x if you can

Answers

Answer:

7x

Step-by-step explanation:

-x + 8x =

8x - x =

7x

-. A 6-foot-tall man is standing 50 feet from a flagpole. When he looks at the top of the flagpole,
the angle of elevation is 39º. Find the height of the flagpole to the nearest foot.

Answers

Answer:

The height of the flagpole is 46 feet

Step-by-step explanation:

First we find the ratio to connect the variables

Tan(∅) = opposite/adjacent

Plug in the Variables

Tan(39) = x/50

Solve for x

50*tan(39) = x

x = 40.48

Don't forget to include the man's height

40.48 + 6 = 46.48

Plz help me with this?!?! I will mark you brainliest!!!

Answers

Answer: 36

Step-by-step explanation:

What is the value of the 54.2-3.67

Answers

the answer is 50.53

self explanatory.

find the value of k for which the equation has equal roots x^2+(k+9)x+15=0 ​

Answers

Answer:

k=-9±2√15

Step-by-step explanation:

For the above quadratic to have equal roots then it's discriminant b²-4ac must equal 0

By comparing x²+(k+9)x+15=0 with ax²+bx+c=0,a=1,b=k+9 and c=15

(k+9)²-4(1×15)=0

k²+18k+81-60=0

k²+18k+21=0(factorize)

k=-9±2√15

What is mS?
R
Q
1000
s
T

Answers

Answer:

m<S = 80°

Step-by-step explanation:

The figure given shows a cyclic quadrilateral.

Angle S and Angle Q are opposite angles of the cyclic quadrilateral. Thus, it is known that opposite angles of a cyclic quadrilateral are supplementary. Since m<Q = 100°

Therefore:

m<S = 180° - 100°

m<S = 80°

On a​ map, 1 inch equals 25 miles. If two cities are 7 inches apart on the​ map, how far are they actually​ apart?

Answers

Answer:

175 miles

Step-by-step explanation:

7 x 25

Answer:

150 miles apart

Step-by-step explanation:

6×25=150 miles

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