answer.
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
Ede4ka
2 months ago
11

If EF bisects CD, CG = 5x-1, GD = 7x-13, EF=6x-4, and GF = 13, find EG (MUST SHOW WORK)

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
3 0

Answer:

EG = 19

Explanation:

We have a line segment CD that is bisected at point G by EF.

The length CG is expressed as 5x - 1,

while GD measures 7x - 13.

Since G bisects CD, these lengths are equal, so:

5x - 1 = 7x - 13

Solving for x,

2x = 12

x = 6

Further, EF equals 6x - 4, and GF is 13.

Because EF = EG + GF,

we write 6x - 4 = EG + 13

Rearranged, EG = 6x - 17

Substituting x = 6,

EG = 6*6 - 17

EG = 19

This is the final value.

I hope this helps you understand the solution.

You might be interested in
The main span of Bridge A ​(2300 ​feet) is​ _____ percent shorter than the main span of Bridge B ​(4700 ​feet).
Svet_ta [12734]
To determine this answer, you need to calculate the percentage change.
This involves dividing the difference in lengths by the original length. We begin with the main bridge.

4700 - 2300 = 2400
2400 divided by 4700 equals approximately 51.1% shorter.
3 0
2 months ago
"Which pairs of angles in the figure below are vertical angles? Check all that apply.
lawyer [12517]
Angles known as vertical angles are those that are located across from each other at a common vertex where two lines intersect.

In the illustration, there exists only one pair of vertical angles.

These are Angle TSW and Angle ISN, both converging at the vertex labeled S.

<span>Answer is: B. Angle ISN and Angle TSW.</span>


5 0
2 months ago
Read 2 more answers
A taxi company charges $3 per ride plus $1.50 fo each mile traveled. Andrea wants to spend no more than $24 on the taxi ride. Ho
AnnZ [12381]
The answer is C since 24-3=21, followed by 21/1.50=14 
6 0
1 month ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Inessa [12570]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The variable x lies within the interval of all positive real numbers less than 5 cm.

Detailed solution:

Problem statement:

Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.

Refer to the provided diagram for clarity.

Define:

x → length in centimeters of each square cutout side

The volume of the box with open top can be written as:

V=LWH

Given this, we have:

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

By substitution:

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Determine the domain of x:

Because:

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

Therefore:

Domain is the interval (0,5)

That means all real numbers strictly greater than zero and less than 5 cm are valid for x.

Hence, the volume V as a function of x is:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
2 months ago
Which of these objects has the largest diameter? • Sun • Cricket Bat • Tennis Ball • Moon
tester [12383]
The moon does, as it is significantly larger than all of these combined.
8 0
23 days ago
Read 2 more answers
Other questions:
  • [GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y
    12·1 answer
  • The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous ran- dom variable with a cumulat
    7·1 answer
  • D = 5x + 10xf solve literal equation for x
    10·1 answer
  • During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim
    7·2 answers
  • J.J.Bean sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet.
    7·1 answer
  • replace each star with a digit to make the problem true.Is there only one answer to each problem? ****-***=2
    10·1 answer
  • A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?
    7·2 answers
  • In Oscars monthly budget each category is Assigned a certain percentage of his monthly income Oscars monthly income is $2250
    10·2 answers
  • Find the amount of elapsed time between each pair.
    5·2 answers
  • Find the level of a two-sided confidence interval for t = 2.776 with sample size 5. express the answer as a percent.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!