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
adelina 88 [10]
3 years ago
15

Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44

You might be interested in
Find the area of the composite figure. PLEASE HELP. SORRY BUT ENGLISH ONLY.
Ivahew [28]
Looks like a regular hexagon

see my attachment

we put some imaginary lines and take the 2 trignles on the right and put them on teh left side
now we have a rectangle wit height 8 and width 2+4 or 6
area=8*6=48 cm^2

4 0
3 years ago
Greg has $400 in his savings account. Each month he spends $50 on shoes. After how many
Rashid [163]

Answer:

8

Step-by-step explanation:

400/50=8

4 0
3 years ago
Twelve friends will share the cost of a vacation rental property that costs $1,380 a month. How much is each person's share of t
insens350 [35]
C: it is 115
Divide 1,380 by the number of friends

3 0
3 years ago
Read 2 more answers
PLEASEE HELP MEEE
Thepotemich [5.8K]
The task is to find the original coordinates with the transformed ones given, so you have to apply the inverse of the stated transformations.

Q"( 6,-1),R"(0,-1) and S"(0,-7)
-> rotate 90 anti-clockwise
Q'(1,6), R'(1,0),S'(7,0)
-> translate left by 7 units
Q(-6,6), R(-6,0), S(0,0)
3 0
3 years ago
The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increas
vaieri [72.5K]
This is a case of exponential growth.  The appropriate equation, with the given data inserted, is     P(t) = 500 ( 1+0.15)^50

or                                   = 500 (1.15)^50

Evaluate this on your calculator.
5 0
4 years ago
Other questions:
  • Which type of triangle has side measures of 6 cm, 7 cm, and 12 cm and one angle with a measure of 120°?
    11·2 answers
  • Marla draws a diagonal in a rhombus to form two triangles. What term can she use to classify each triangle? Explain.
    7·2 answers
  • -1y + 11= 20 what is the answer 3 or -3
    14·2 answers
  • A standard I.Q. test produces normally distributed results with a mean of 104 and a standard deviation of 16 for 52,000 students
    13·2 answers
  • One number is 6 times another number. The difference between the number is 175. Find the smaller number
    13·1 answer
  • What is 85/95 in sipelist form
    15·1 answer
  • I know the answer to it, it's a...however I need an explanation onto why it's a.​
    8·1 answer
  • If the quadrilateral MATH is represented by the matrix to the right, choose the type of quadrilateral that MATH forms
    12·2 answers
  • A ferris wheel can accommodate 40 people in 20 minutes.how many people can ride the ferris wheel in 3 hours?
    7·2 answers
  • Help please!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!