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
Drupady [299]
3 years ago
5

If B is the midpoint of AC and AB = 4x + 14 and BC = x + 20, determine how long AC is.

Mathematics
2 answers:
Serhud [2]3 years ago
5 0

Answer:

44 units

Step-by-step explanation:

Since B is the mid-point of AC

AB=BC

or,4x+14=x+20

or, 4x-x=20-14

or 3x=6

or,x=6/3=2

AC=AB+BC

= 4x+14+x+20

= 4(2) + 14 +2 +20

= 8+14+22

=44 units

olchik [2.2K]3 years ago
5 0

Answer:

44 units

Step-by-step explanation:

We know that B is the midpoint of AC, so by definition, AB = BC. Thus, set the two expressions equal and solve for x:

AB = BC

4x + 14 = x + 20

3x = 6

x = 2

Given that x = 2, plug this into the expression for AB and BC and add them to get AC:

AC = AB + BC = 4 * 2 + 14 + 2 + 20 = 44

Hence, AC is 44 units.

Hope this helps!

You might be interested in
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 19
alexgriva [62]

Answer:

p(t) = 0.19e0.10t

=>p'(t) = 0.19e0.10t (0.10*1)

=>p'(t) = 0.019e0.10t

t = 0 represents 1994

for 2002, t=2002-1994 =8

in 2002

average price =p(8)

=>average price = 0.19e0.10*8

=>average price =0.422853... million

rate of increase =p'(8)

=>rate of increase = 0.019e0.10*8

=>rate of increase =0.0422853... million per year

p(8)=$ 0.42 million

p'(8)=$ 0.042 million per year

4 0
3 years ago
In a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standar
KiRa [710]

Answer:

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

Step-by-step explanation:

Given that in a  fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams

H0: The two means are equal

Ha: The two means are not equal

(Two tailed test at 5% level)

Variable A Variable B

Mean 1080.00 1120.00

SD 75.00 100.00

SEM 13.26 16.01

N 32 39

95% CI: -82.65 to 2.65

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

7 0
3 years ago
Which quadrilaterals have parallel opposite sides? Select all that apply.
Brrunno [24]
Parallelogram square rectangle
5 0
3 years ago
Using the graph, determine the coordinates of the vertex of the parabola.
nadezda [96]

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

6 0
3 years ago
The center of a circle is at the onigin on a coordinate grd. The vertex of a parabola that opens upward is at (0, 9). If the
kenny6666 [7]
I think it’s the maximum number of solutions is one
4 0
3 years ago
Other questions:
  • URGENT! need answers to this before 11 pm!
    5·1 answer
  • A thin circular ring of radius “a” has a uniformly distributed charge Q. Determine the electric potential at a point P on the ax
    5·1 answer
  • The product of 2 and 8 divided by 8 is equal to?
    12·2 answers
  • According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to rea
    10·1 answer
  • Please help me. I’ll mark brainliest!!!
    7·1 answer
  • A certain company's main source of income is selling socks. The company's annual profit (in millions of dollars) as a function o
    13·2 answers
  • I don’t not know how to solve this, can someone please explain?
    6·1 answer
  • I need helpPPPPPPPPPPPPPPPPP
    11·1 answer
  • Find the equation of a line parallel to x+y=8 that passes through the point (-8,-2)
    8·1 answer
  • What is the value of (23)2?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!