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
Three students wrote expressions on their dry erase boards
son4ous [18]

Answer:

jayden and leah

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write an equation in point slope form for a line that includes the origin and (9,-3)
aivan3 [116]
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope  -1/3 and y intercept 0</span>
3 0
3 years ago
Expand and simplify 4 (x-3)-2 (1-x)
Nikolay [14]
<span> </span><span>4(x-3)-2(1-x) 
distribute 
4x -12 -2 + x 
combine 
5x - 14</span>
4 0
4 years ago
Read 2 more answers
Can some one help me ??? Anyone ?
Leya [2.2K]
((-2)^2-4)^3+4\cdot(-5)=\\&#10;(4-4)^3+(-20)=\\&#10;0^3-20=\\&#10;0-20=\\-20
6 0
4 years ago
$1675 at 4.6% for 4 years whats the interest earned and balance amount
nignag [31]
If simple interest is paid:
Interest=Pit = 1675*0.046*4=308.20

If compounded annually
Interest=P[(1+i)^t-1]=1675*(1.046^4-1)=330.13

If compounded monthly
Interest=P[(1+i/12)^(t*12)-1]=1675*((1+0.046/12)^(4*12)-1)=337.67

Please be sure to specify the type of interest and compounding period if it is compound interest.
7 0
3 years ago
Other questions:
  • The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.
    8·2 answers
  • Point F is on line segment \overline{EG} EG . Given FG=8,FG=8, EF=2x+4,EF=2x+4, and EG=4x-10,EG=4x−10, determine the numerical l
    5·1 answer
  • What kind of inequality is this
    5·2 answers
  • An identity thief watches someone enter a four-digit PIN and manages to see that the first digit is 3. They also know that the s
    7·2 answers
  • Find the missing length
    9·1 answer
  • Please help!!!!<br> {10 points up} <br> Can mark brainliest
    13·1 answer
  • Of the last 14 contestants on a game show, 7 qualified for the bonus round. Considering this data, how many of the next 10 conte
    13·1 answer
  • 8,487 divided by 8 I need help !
    15·1 answer
  • Hi help me please or do something i dont know
    6·2 answers
  • PLEASE HELP! I AM REALLY CONFUSED! find the value of a if X^3+8x^2+ax-2 is divisible by x-1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!