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
rusak2 [61]
3 years ago
7

If AB=2(x+1) BC=3x+1 and AC=4(x+2) then find the value for x,AB,BC and AC

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Givens

AB + BC = AC

AB = 2(x + 1)

BC = 3x + 1

AC = 4(x + 2)

Substitute and Solve

AB + BC = AC

2(x + 1) + 3x + 1 = 4(x + 2)     Remove the brackets on the left

2x + 2 + 3x + 1 = 4(x + 2)      Collect the like terms on the left

5x + 3  = 4(x + 2)                  Remove the brackets on the right.

5x + 3 = 4x + 8                     Subtract 4x from both sides.

5x - 4x + 3 = 8            

x + 3 = 8                               Subtract 3 from both sides

x =8 - 3

x = 5

Answers

AB=2(5 + 1) = 2 * 6 = 12

BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16

AC = 4(5 + 2) = 4*7 = 28


You might be interested in
24 dived by 7=what is the remainder
motikmotik
3 is the remainder because the closest is 7 times 21 so it’s remainder 3
7 0
3 years ago
Read 2 more answers
If ADB = 70°,
Delvig [45]
Diameter of the circle is BD as shown, as indicated and passed through center where BD passes, triangle ABD is a right triangle with angle ABD as the right angle. It means ADB and ABD are complementary which means
AB = 140 degree
AD=40 degree
7 0
3 years ago
Which fraction is not equivalent to 9/12
Inessa [10]

Answer:

the second one :)

Step-by-step explanation:

3 0
3 years ago
Y=-5/3x+3<br> Y=1/3x-3<br> (3,2)
Lunna [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
the equation a equals 1 half b h, where b represents base and h represents height, is used to find the area of a .
NikAS [45]

The formula for b from the given area is equal to (2A / h).

As given in the question,

Formula to find area of a triangle is equal to A = (1/2) b h

b represents the base of the triangle

h represents the height of the triangle

A = (1/2) b h

Multiply both the side by 2 in area formula

2A = b h

Divide both the side by h

b = (2A) / h

Therefore, the formula for b from the given area is equal to (2A / h).

The complete question is:

The formula A = (1/2)b h represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle. 1. Solve this formula for b.

Learn more about area here

brainly.com/question/27683633

#SPJ4

6 0
1 year ago
Other questions:
  • The Area of a rectangular patio is 5 5/8 square yards,and it's length is 1 1/2 yards.What is the patio's width,in yards?
    8·1 answer
  • Expand and simplify (x-2) (x-1)
    15·1 answer
  • What is the slope of the line that passes through the points (−4,−2) and (−4,−22)? Write your answer in simplest form.
    5·2 answers
  • Which fraction is bigger 3/4 or 1/2
    11·2 answers
  • Help meh plzzz buddy UwU
    14·2 answers
  • A ray is a part of a line.
    12·2 answers
  • Simplify.
    15·2 answers
  • What is your preferred method to construct parallel lines? Explain why your method works by describing what construction propert
    7·1 answer
  • A family buys a studio apartment for $180.00 They pay a down payment of $54.00, Their down payment is what percent of the purcha
    15·2 answers
  • Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added toge
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!