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
uysha [10]
3 years ago
6

If someone could please just tell me how to do this that would help a lot. Suppose B is between A and C. Use the Segment Additio

n Postulate to find x. Then find the length of each segment. AB = 4x+1 BC = 7x-4 AC = 118
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

x=11

AB=45

BC=73

Step-by-step explanation:

AB+BC=AC, so...

4x+1+7x-4=118

Combine like terms

11x-3=118

Solve for x

11x=118+3

11x=121

x=11

Now put x in each equation

AB=4x+1=4(11)+1=44+1=45

BC=7x-4+7(11)-4=77-4=73

AC=45+73=118 (which was given!)

You might be interested in
In the system shown below, what are the coordinates of the solution that lies in quadrant I?
Arisa [49]

Answer:

(4,3)

Step-by-step explanation:

Given

x^2+y^2=25

x-y^2=-5

In order to solve the equations, from equation 2 we get

-y^2= -5-x

y^2=5+x

Putting the value of y^2 in equation 1

x^2+5+x=25

x^2+5-25+x=0

x^2+x-20=0

x^2+5x-4x-20= 0

x(x+5)-4(x+5)=0

(x+5)(x-4)=0

So

x+5=0  x-4=0

x=-5   x=4

Now for x=-5

x^2+y^2=25

(-5)^2+y^2=25

25+y^2=25

y^2=25-25

y^2=0

so Y=0  

And for x = 4

x^2+y^2=25

(4)^2+y^2=25

16+y^2=25

y^2=25-16

y^2=9

y= ±3

So the solution to the system of equations is

(-5,0) , (4,3), (4,-3)

The only solution that belongs to first quadrant is (4,3)

4 0
3 years ago
Read 2 more answers
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
Elodia [21]

Answer:

The critical value for this hypothesis test is 6.571.

Step-by-step explanation:

In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.

Then the variance will be, \sigma^{2}=(5.0)^{2}=25

The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:

<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.

<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.

The test statistics is:

\chi ^{2}_{cal.}=\frac{ns^{2}}{\sigma^{2}}

The decision rule is:

If the calculated value of the test statistic is less than the critical value, \chi^{2}_{n-1} then the null hypothesis will be rejected.

Compute the critical value as follows:

\chi^{2}_{(1-\alpha), (n-1)}=\chi^{2}_{(1-0.05),(15-1)}=\chi^{2}_{0.95, 14}=6.571

*Use a chi-square table.

Thus, the critical value for this hypothesis test is 6.571.

7 0
4 years ago
Read 2 more answers
What are the names of three collinear points
zepelin [54]
If three points were A, B and C are collinear points and B is between A and C, then AB+BC=AC
3 0
4 years ago
15 - G = 23 - 2G<br><br><br><br><br><br> Please help me answer this
Vadim26 [7]

Answer:

-G + 15 = - 2G + 23

    - 15             -15

-G     = -2G + 8

+2G      +2G

S0, G = 8 is the answer

Step-by-step explanation:

3 0
3 years ago
HELP I need this for a quiz
statuscvo [17]

Answer:

Ypu are correct. It is -30

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • How do I solve it. I don't understand where I should start the problem I have the formulas
    7·1 answer
  • Can someone answer this? I got 180 cubic inches but it wasn't right. Please help.
    10·2 answers
  • If you sleep an average of 7.5 hours each night, how many hours do you sleep in a year?
    12·2 answers
  • For the weight of the box that she measured, Beatriz determined the margin of error as 23.5 pounds to 24.5 pounds. What was the
    12·2 answers
  • ASAP ANSWER WITH WORK!!!
    14·1 answer
  • Please someone do it for me!
    10·1 answer
  • How many terms are there in the expression 3x2 + 2x - 4?<br> A:1<br> B:2<br> C:3<br> D:4
    15·2 answers
  • What inequality is represented by this graph? 12 2 3 0128 o a 128​
    5·1 answer
  • There are 8 fewer than double the
    6·1 answer
  • Yx = -wvu<br> v =<br><br> Please help asap
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!