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
Assoli18 [71]
2 years ago
6

What is the value of x if HF = 4x+1 and AB = 12x-3?| Given m

Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Answer: <em>x = 1.25</em>

Step-by-step explanation:

<em>HF - is the middle line of the triangle ABC.</em>

HF=\dfrac{1}{2} AB\\\\HF=4x+1\\AB=12x-3\\\\4x+1=\dfrac{1}{2}  \cdot (12x-3)\\\\4x+1=\dfrac{12x-3}{2} \\\\(4x+1) \cdot 2 =12x-3\\8x+2=12x-3\\8x+2-12x=12x-3-12x\\-4x+2=-3\\-4x+2-2=-3-2\\-4x=-5\\-4x \cdot (-1)=-5 \cdot (-1)\\4x=5\\4x \div 4=5 \div 4\\x=1.25

You might be interested in
Solve the system using the substituiton method<br> branliest offered<br> 3x-7y=10<br> x-4y=5
fiasKO [112]
Hi there!

To solve this problem using substitution, we need to set x equal to a value and substitute it into the other equation.

Since
x - 4y = 5,
x = 5 + 4y

3x - 7y = 10
3(5 + 4y) - 7y = 10
15 + 12y - 7y = 10
15 + 5y = 10
5y = -5
y = -1

Now that we know y is -1, we can substitute it back into the equation to find x:

y = -1
x - 4y = 5
x - 4(-1) = 5
x - (-4) = 5
x + 4 = 5
x = 1

So, your answers are x = 1 and y = -1.

Hope this helps!
6 0
2 years ago
How many solutions does -3x+9-2x=-12-5x have
Neko [114]

Answer:

-27+6x=-12-5x

Step-by-step explanation:

It has one solution

8 0
3 years ago
A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and e
vekshin1

P(B|A) expressed in simplest form is  8/105.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The chance of the event happening lies between 0 and 1.

P(B|A)  = (number of blue balls / total number of balls) x (number of white balls / total number of balls - 1 )

(4/15) x 4/14 = 8/105

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

3 0
2 years ago
Find an expression in simplest form for the verbal description. The total pay for 12 hours of work at a base rate of P per hour
Jobisdone [24]
Base:
12 \times p = 12p  \\
Bonus:
12 \times 1.50
Total:
12 \times (p + 1.50)
6 0
2 years ago
When you combine equal groups ____________ to find how many in all
crimeas [40]
It’s wether dividing or multiplying
4 0
3 years ago
Read 2 more answers
Other questions:
  • Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic
    12·1 answer
  • For f(x) = 3x^2 – X+5, 2f (-3) - f(4)=
    5·1 answer
  • S.O.S help !!!!!!!!!!!!!!!!
    13·2 answers
  • DEFG is a rhombus with m∠EFG=28. What is m∠FGE?<br> 76<br> 152<br> 14
    12·1 answer
  • If g(x)= 3(2)^x, then calculate g(3).
    6·2 answers
  • Need help on question please!!
    11·2 answers
  • Solve a two- step equation <br><br> 6x+8=50
    12·2 answers
  • Which ratio is NOT equivalent to the other choices?
    12·2 answers
  • Help me and show work plz &lt;3
    8·1 answer
  • Answer for 11 points and brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!