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
maksim [4K]
2 years ago
15

A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7

.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?
Mathematics
1 answer:
Studentka2010 [4]2 years ago
3 0

Based on the segment addition postulate, the length of GH is: 4 units.

<h3>What is the Segment Addition Postulate?</h3>

The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.

  • FG = 2 units
  • FI = 7 units
  • HI = 1 unit
  • GH = ?

FI = FG + HI + GH [segment addition postulate]

7 = 2 + 1 + GH

7 = 3 + GH

7 - 3 = GH

4 = GH

GH = 4 units.

Learn more about the segment addition postulate on:

brainly.com/question/2134445

#SPJ1

You might be interested in
Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer
Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

0=(3x+2)(x-4)

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply (3x+2)(x-4) i.e. 3x^2-12x+2x-8 = 3x^2-10x-8

So, the equation becomes:

0=3x^2-10x-8

Comparing this equation to standard quadratic equation:

ax^2+bx+c=0

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0
3 years ago
We know that Martin is buying some apples at $0.75 each and two dozen oranges
Daniel [21]

Step-by-step explanation:

0.75a + 2(0.90) = 27.60

is the correct answer

8 0
2 years ago
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
svetlana [45]

\frac{1}{8}  \div 24 = 3
8 0
3 years ago
Read 2 more answers
Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
3 years ago
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
Julli [10]

Answer:

  • 290

Step-by-step explanation:

<u>Solving with one operation at each step:</u>

  • {362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) =
  • {362 – [63 + 24 x 2]} + 3(9 +4) =
  • [362 – (63 + 48)] + 3(9 +4) =
  • (362 – 111) + 3(9 +4) =
  • 251 + 3(13) =
  • 251 + 39 =
  • 290
6 0
3 years ago
Read 2 more answers
Other questions:
  • Helpppppppppppppppppppppppppppppp
    7·1 answer
  • What is 5m+6=<br> what does m =
    9·2 answers
  • Please help me anybody
    12·2 answers
  • What is equivalent to -1/4 - 5/3
    14·1 answer
  • List all the factors of 16
    7·2 answers
  • April and Sanjay are both using tools to simulate the probability that a family with three children will have exactly one girl.
    5·1 answer
  • Y=10x+100 what is the independent and dependent variable in this equation
    7·1 answer
  • A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the
    5·1 answer
  • PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
    10·2 answers
  • Which set of side lengths create a right triangle ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!