Mathematics : asked on michaelsoupios

22.01.2023

What is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units 0

22

Step-by-step answer

17.02.2022, solved by verified expert

Mathematics, DAV Post Graduate College

5 226 answers

Unlock the full answer

Options:

a. 12.5 units

b. 15.0 units

c. 17.5 units

d. 20.0 units

What is the length of line segment gf? 12.5 units, №15222071, 22.01.2023 15:10

Answer

d. 20.0 units

Explanation:

Find out the length of line segment GF .

To prove

In Δ GEF is a right triangle .

As shown in the diagram

GE = 10 units

EC = 7.5 units

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

GC² = GE² + EC²

= 10² + 7.5²

= 100 + 56.25

= 156 .25

GC = 12 .5 units

As shown in the diagram

CF is the radius of a circle .

CF = 7.5 units (As in the figure EC = 7.5 units)

GF = GC + CF

= 12 .5 units + 7.5 units

= 20 units

Therefore option (d) is correct .

Hence proved

It is was helpful?

Helpful Useless

Faq

Mathematics

Point f is on circle c. what is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units

Step-by-step answer

P Answered by Specialist

48

We know that : GF = GC + CF.Also, CF is a radius. So CF = 7.5 unitsTo find GC we will use the Pythagorean theorem.GC² = 10² + 7.5²GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5GF = 12.5 + 7.5 = 20 d. 20 units.

Mathematics

Point f is on circle c. what is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units

Step-by-step answer

P Answered by PhD

83

Length of GF is 20 units

Given that;

Length of EG = 10 unit

Length of EC = 7.5 unit

Find:

Length of GF

Computation:

Length of GF = Length of GC + Length of CF

Length of GF = √EG² + EC² + 7.5

Length of GF = √10² + 7.5² + 7.5

Length of GF = √156.25 + 7.5

Length of GF = 12.5 + 7.5

Length of GF = 20 units

Learn more:

link

Mathematics

Point f is on circle c. what is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units

Step-by-step answer

P Answered by Specialist

48

We know that : GF = GC + CF.Also, CF is a radius. So CF = 7.5 unitsTo find GC we will use the Pythagorean theorem.GC² = 10² + 7.5²GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5GF = 12.5 + 7.5 = 20 d. 20 units.

Mathematics

Point f is on circle c. what is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units

Step-by-step answer

P Answered by PhD

83

Length of GF is 20 units

Given that;

Length of EG = 10 unit

Length of EC = 7.5 unit

Find:

Length of GF

Computation:

Length of GF = Length of GC + Length of CF

Length of GF = √EG² + EC² + 7.5

Length of GF = √10² + 7.5² + 7.5

Length of GF = √156.25 + 7.5

Length of GF = 12.5 + 7.5

Length of GF = 20 units

Learn more:

link

Mathematics

Point f is on circle c. what is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units

Step-by-step answer

P Answered by PhD

63

The
According to the image, the length of line segment GF can be found with
GF= GC +CF
CF is one the radius, so CF=7.5
to find GC, we can apply Pythagorean theorem on the right triangle GEC
it is
GC² =GE² + EC² = 10² +7.5² =156.25, and then GC= sqrt(156.25)=12.5

therefore, GF= GC +CF=12.5+7.5=20

so the answer is 20.0 units

Mathematics

Point f is on circle c. what is the length of line segment gf? 12.5 units 15.0 units 17.5 units 20.0 units

Step-by-step answer

P Answered by PhD

24

We know that CF = 7.5 ( radius )GF = GC + CFWe will calculate GC using the Pythagorean theorem:GC² = 10² + 7.5²GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5Finally:
GF = 12.5 + 7.5GF = 20 D ) 20 units.

Mathematics

Point f is on circle c. what is the length of line segment gf? a.12.5 units b.15.0 units c.17.5 units d.20.0 units

Step-by-step answer

P Answered by PhD

2

GF = 20 units .

Step-by-step explanation:

Given : A circle ,Point F is on circle C.

To find : What is the length of line segment GF.

Solution : We have given A circle ,Point F is on circle C.

In circle we can see in triangle GCE

EC = CF = 7.5

GE = 10.

By the Pythagorean theorem :

GC² = EG²+ EC².

Plugging the values

GC² = 10²+ 7.5².

GC² = 100 + 56 .25.

GC² = 156.25.

Taking square root.

GC = 12.5 units.

Radius of circle CF = 7.5 units .

GF = GC +CF.

GF = 12.5 + 7.5

GF = 20 units .

Therefore, GF = 20 units .

Mathematics

Point f is on circle c. what is the length of line segment gf? a.12.5 units b.15.0 units c.17.5 units d.20.0 units

Step-by-step answer

P Answered by PhD

2

GF = 20 units .

Step-by-step explanation:

Given : A circle ,Point F is on circle C.

To find : What is the length of line segment GF.

Solution : We have given A circle ,Point F is on circle C.

In circle we can see in triangle GCE

EC = CF = 7.5

GE = 10.

By the Pythagorean theorem :

GC² = EG²+ EC².

Plugging the values

GC² = 10²+ 7.5².

GC² = 100 + 56 .25.

GC² = 156.25.

Taking square root.

GC = 12.5 units.

Radius of circle CF = 7.5 units .

GF = GC +CF.

GF = 12.5 + 7.5

GF = 20 units .

Therefore, GF = 20 units .

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

free Ask question

Today we have helped

1 561 students

just now

Mathematics

2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,

p Answered by PhD

1 minute ago

Mathematics

5+2√3 / 7+4√3 = a-6√3
please answer this

s Answered by Specialist

1 minute ago

Mathematics

Bag A contains 5x coins. Bag B contains 3x coins.
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11:5
Work out the total number of coins.

s Answered by Specialist

2 minutes ago

History

Kobe Bryant education and jobs 3 sentences

p Answered by PhD

2 minutes ago

Mathematics

Samantha wants to buy a house and plans to rent the apartment located in the basement for extra income. The house has a purchase price of $200,000 and she will make a 10% down payment. Samantha has qualified for a 30 year mortgage with a fixed rate of 5.875%. Approximately how much rent should she charge for the apartment in order to cover her monthly mortgage payment if she only wants to spend $500 a month of her own money?

p Answered by PhD

Get help with homework

What is Studen

Studen helps you with homework in two ways:

Our base includes complete solutions from various experts

chat

Leave a question

Studen will automatically choose an expert for you.

directly

We have more than 5 000 verified experienced expert