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
Luba_88 [7]
1 year ago
7

Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

Mathematics
1 answer:
stealth61 [152]1 year ago
8 0

Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}

Substitute the value of x in the given value of GH,

\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}

And the total length FH is,

\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}

Hence, the lengths are,

\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}

You might be interested in
For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical
Citrus2011 [14]
There is no diagram
6 0
2 years ago
A house on the market was valued for 409,000
Nana76 [90]
I’d need to know the question to answer this.
5 0
3 years ago
6. You can buy 3 apples at Walmart for $1.20. You can buy 5 of the same apples at Sprouts for
luda_lava [24]

Answer:

Walmart: 1.20 divided by 3= 0.4

Sprouts: 1.35 divided by 5= 0.27

Sprouts has a better deal

5 0
3 years ago
Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?
lidiya [134]
Well you would just multiply 374 by 15 and that would be your answer
8 0
3 years ago
Read 2 more answers
How many cups are in 4 liters? (1 liter = 1.06 quarts and 1 quart=4 cups)
Lynna [10]

Answer:

16.907

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • WILL MARK BRAINLIEST!!!<br> Which graph has a slope of 4\5?
    10·1 answer
  • Need answers ASAP
    14·1 answer
  • Algebra 1 help please<br> Picture included and will pick a brainliest answer. <br> Thanks in advance
    15·1 answer
  • A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
    8·1 answer
  • Find the value of x.
    7·1 answer
  • Can someone help me find the measure of the angle indicated in bold please
    6·2 answers
  • Help I will give brainliest
    14·2 answers
  • Jim has 2 pencils, 2 pens and 2 markers. Find the number of ways of choosing a pencil, a pen and a marker.
    6·1 answer
  • Ms. Tyson has a part time job selling cars. She earns a commission of 0.6% on all her sales. If her sales for last week was $281
    13·1 answer
  • A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sale
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!