1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ira [324]
2 years ago
10

If S lies between R and T, RT=21, RS=2X+5, and ST=3x-4. Find RS and ST

Mathematics
2 answers:
Snowcat [4.5K]2 years ago
8 0
The answer is c so pick it so I can get answers
zepelin [54]2 years ago
8 0

Answers:

RS = 13

ST = 8

==================================================

Explanation:

S is between R and T. I'm assuming also that S is on line RT.

If that's the case, then by the segment addition postulate, we can say  RS+ST = RT.

In other words, the longest segment RT is broken into two smaller pieces RS and ST (not necessarily equal but they may be). Gluing the pieces back together should get us the original longest segment.

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

Apply substitution and solve for x.

RS+ST = RT

(2x+5)+(3x-4) = 21

(2x+3x)+(5-4) = 21

5x+1 = 21

5x = 21-1

5x = 20

x = 20/5

x = 4

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

If x = 4, then,

  • RS = 2x+5 = 2*4+5 = 13
  • ST = 3x-4 = 3*4-4 = 8

Then notice how RS+ST = 13+8 = 21, which is is the length of RT

This confirms that RS+ST = RT is true and it confirms our answers.

You might be interested in
Please help me......<br> Change the equation 8+4y=24 into slope-intercept form
andrew11 [14]
Slope-Intercept form - y = 4
8 0
2 years ago
#8: Linda is saving for retirement. She invest $12,000 in a retirement fund
mestny [16]

Answer:

12000(1+.04)^x

Step-by-step explanation:

12000(1+.04)^x

4 0
2 years ago
I need this ASAP!!
Free_Kalibri [48]

Answer:

n = 4752 gallons

Step-by-step explanation:

Given

Dilivery: 396 dozen gallon in a day

RequirEd

determine the number of the gallon in a day

we understand that:

n= 396 dozen

unit conversion

1 dozen = 12

so

n = 396 dozen gallon

n = 396× 12

n = 4752 gallons

hence 4752 gallons milk is delivered daily

6 0
3 years ago
Given a line segment with endpoints A(16, 8) and B(1, 3) what are the coordinates of the
blondinia [14]

Answer:

The line segment partitioned two-fifths from A to B is (10,6)

Step-by-step explanation:

First point from A to B is (16,8)

than find the difference between A to B i.e B - A

(1,3)-(16,8) = (-15,-5)

To measure the (2/5) difference we will multiply (-15,-5) with  (2/5) which is equal to (-6,-2)

Now Add the difference to the first coordinate (point A) gives

Point of division = (16,8)+(-6,-2)

Point of division = (16-6, 8-2)

Point of division = (10,6)

4 0
3 years ago
What is the sum of the complex numbers 3 − 4i and 5 + 3i ?
Mandarinka [93]

Answer:

8 - i

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

<u>Algebra II</u>

  • Standard Form: a + bi

Step-by-step explanation:

<u>Step 1: Define</u>

(3 - 4i) + (5 + 3i)

<u>Step 2: Simplify</u>

  1. Combine like terms (Z):                    8 - 4i + 3i
  2. Combine like terms (i):                      8 - i
7 0
3 years ago
Other questions:
  • Which of the following is the solution to the inequality below? <br> 9-3x&gt;2(x-3)
    7·1 answer
  • Which two statements are missing in steps 3 and 4?
    11·2 answers
  • The school band is comprised of middle school students and high school students, but it always has the same maximum capacity. La
    12·1 answer
  • A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contes
    5·1 answer
  • Alaska has a coastline of about 6.64 thousand miles. Flordia's is about 1.35 thousand miles of coastline. how many times more mi
    15·1 answer
  • My school is planning a field trip and over and buses and vans for the trip each bus carries up to 60 students requires for chap
    8·1 answer
  • What is:<br> 3/4 / 1/4<br> -4/5 / 8/9 <br> -5/6 / (-2/3)
    9·1 answer
  • Explain what it means to have a correlation in a scatter plot.
    9·2 answers
  • A clock that loses 5 seconds each hour has not been reset for 48 hours. What time does the clock show if the correct time is 8:4
    9·2 answers
  • A circle's diameter is 4 feet.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!