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
IRISSAK [1]
3 years ago
10

Points A, B, C, and D are collinear and positioned in that order. Solve for x then find the length of: AB, BC, and CD, if AB=x+5

, BC=2x+10, CD=4x, and AD=78
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Step-by-step explanation:

we can solve this by Adding all points so you said that all are collinear points which means all points are in one line so this is solved as

= X+5+2X+10+4X=78

=7X+15=78. ....collecting like terms

=7x=78-15

=7x=63. divide both sides with 7

=x=9

So now All sides are solved

●AB=x+5

AB=9+5=14

●BC=2X+10=2(9)+10

BC=28

●CD=4X

CD=4(9)

CD=36

so AB+BC+CD=AD

14+28+36=78

True!!

Thanks in Advance

Nahom Wondale

You might be interested in
∠QPS is a right angle and m∠QPR = 71°, what is m∠RPS?
natta225 [31]

Answer: <RPS = 161

Step-by-step explanation:

P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)

<QPR+<QPS= <RPS

71+90= 161

(<QPS is a right angle. Right angles are equal to 90 degrees.)

8 0
2 years ago
Use the simple interest formula to find the ending balance
IgorC [24]
The answer would be 5,875.00
4 0
3 years ago
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many p
Mkey [24]

Answer:

1,015

Step-by-step explanation:

7 pounds of honey equals 1 pound of wax

So if we have 145 pounds of was, we multiply 145 by 7

145x7= 1,015

5 0
2 years ago
Which steps would you use to solve this equation? Check all that apply p + 7 = 12
Neporo4naja [7]

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

\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

           Which steps would you use to solve this equation? p+7=12

\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

We can solve this equation in one step only, and this is the step:-

         Subtract 7 from both sides

p=12-7

p=5

<h3>Good luck.</h3>

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

5 0
2 years ago
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
2 years ago
Other questions:
  • 8. Molly builds a rectangular exercise pen for her hamsters.
    6·2 answers
  • I need help on this math question?​
    5·1 answer
  • PLEASE help?!
    8·1 answer
  • 8. Solve for the given variable in the following equations. (4 marks total)
    8·1 answer
  • What is an example of a one step equation that would use multiplication
    11·1 answer
  • Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the co
    14·1 answer
  • 19) You want to solve the system below by eliminating y. You multiply the first equation by 7. By what number should you multipl
    15·1 answer
  • What is g(x)?<br><br> A. g(x) = -x2<br> B. g(x) = -2<br> C. g(x) = -|x|<br> D. g(x) = -x
    7·1 answer
  • Could someone please check my work! no files please and thank you!
    13·1 answer
  • Please help with homework.<br> My question is:<br> <img src="https://tex.z-dn.net/?f=%28x%2B7%29%5E%7B4%7D" id="TexFormula1" tit
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!