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
DENIUS [597]
3 years ago
9

A line parallel to a triangle's side splits AB into lengths of x − 6 and x + 1. The other side, AC, is split into lengths of x a

nd x + 21. What is the length of AC?
A)27
B)33
C)39
D)45
Please explain how you solved. Do not comment unless you are sure you know the answer. I will give you brainliest for right answer.
Mathematics
2 answers:
MrRa [10]3 years ago
6 0

Answer:

AC=39

Step-by-step explanation:

Aleks [24]3 years ago
4 0
AC = 39

Side Am/mB (x + 1)/(2x - 5)
Side Am/mC (x + 21)/(2x + 21)
m is the point where the parallel line is.
AB = AC
(x+1)/(2x -5) =(x +21)/(2x+21)
Cross multiply.
(x+1)(2x+21)=(2x-5)(x+21)
2x^2+23x+21=2x^2+37x-105
Subtract 2x^2 from both sides.
23x+21=37x-105
Subtract 23x from both sides.
21= 14x -105
Add 105 to both sides
126 = 14x
Divide both sides by 14
x = 9
Plug 9 back in for x in
2x + 21
2(9) + 21 = 39
You might be interested in
Write an equation of the line that passes through 3,1 and 0,10
elena-14-01-66 [18.8K]

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

3 0
3 years ago
You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week
tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

<u>Step-by-step explanation:</u>

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

The number of weeks in twelve months is 52 weeks.

Now, of this 52 weeks, the three weeks are given as vacation.

The total number of weeks the electrician worked = 52 weeks - 3 weeks

⇒ 49 weeks.

The electrician worked for 49 weeks.

To calculate the total number of hours he worked = 49 weeks × 40 hours

⇒ 1960 hours.

Therefore, the  total number of hours the electrician worked is 1960 hours which is option b).

5 0
3 years ago
Need help with this!!
wariber [46]

Answer:

below

Step-by-step explanation:

1) slope = rise / run

2 coordinates are (-4, 0), (0, 2).

2 - 0 = 2

0 -- 4 = 4

2 / 4 = 1/2 so the slope is 0.5 or ½

2) it crosses the y axis at the average of the origin and 4.

4 + 0 = 4 / 2 = 2 so y intercept is 2.

3) in y= mx + b form

f(x) = ½x + 2, or, f(x) = 0.5x + 2

3 0
2 years ago
Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.
natta225 [31]

The ODE is linear:

y'=x^4-\dfrac yx

y'+\dfrac yx=x^4

Multiplying both sides by x gives

xy'+y=x^5

Notice that the left side can be condensed as the derivative of a product:

(xy)'=x^5

Integrating both sides with respect to x yields

xy=\dfrac{x^6}6+C

\implies y(x)=\dfrac{x^5}6+\dfrac Cx

Since y(1)=1,

1=\dfrac16+C\implies C=\dfrac56

so that

\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}

4 0
3 years ago
How many solutions does 4x+2(x-5) =3(2x-4) have
Inessa05 [86]
I think 2 but I might be wrong
4 0
3 years ago
Other questions:
  • Which ratio is equal to 6/15?
    7·2 answers
  • Trig help please, 2 questions, 10 pts
    12·1 answer
  • Which unit would you use to measure the weight of an aspirin?<br><br> mg<br> g<br> kg<br> km
    11·2 answers
  • A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u
    5·1 answer
  • The data below represents the number of essays that students in Mr. Ji's class wrote. 2,3,5,5,6,7,8,8,11 Which box plot correctl
    12·1 answer
  • Michael is the youngest person in the office. Judy is the oldest person in the office. The age difference between Michael and Ju
    12·2 answers
  • Mort is trying to save money to get out of student debt he saves money each month from his paycheck the function below relates m
    13·1 answer
  • (x + 3)(x^2 - 6x + 5)
    5·1 answer
  • Please help with any you can, i will give brainliest.
    14·1 answer
  • The sum of b and 24 <br>18 less than x <br>an amount of a divided by 3​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!