Find the measure of FG.

Find The Measure Of FG.

Answers

Answer 1

Answer:

8

Step-by-step explanation:

By power of a point, (x-2)(x+13) = (x-3)(x+16). Solving, we find that x=11, so FG= 11-3 = 8


Related Questions

Determine the absolute value

Answers

Answer:

64000

Step-by-step explanation:

The absolute value is the non-negative number

|64000| = 64000

Ratio: the ratio of men to women working for a company is 4 to 3. If there are 196 employees in total, how many are women?

Answers

Answer:

84 women

Step-by-step explanation:

Using Algebra, we can apply the ratio of men and women, 4 and 3, in a format that can be used in an equation.

4x = men and the unknown variable that will solve the amount of men

3x = women and the unknown variable that will solve the amount of women

Now, we will use the other provided piece which is the total amount of employees, and we will put together an equation!

4x + 3x = 196

We will use this equation to solve for X by the process of addition and division.

4x + 3x = 196

7x = 196

196 ÷ 7 = 28

x = 28

Now we will use this variable and apply it for x to find the number of women.

3 x 28 = 84 women!

Checking the answer:

4 x 28 = 112 men

84 + 112 = 196

Therefore, this answer checks out.

Evaluate the expression

Answers

Answer:

Is -15

Step-by-step explanation:

Determine whether the following polygons are similar.

Answers

Answer:

The polygons are NOT similar. The ratio of 12 to 18 equals 2 to 3, and the ratio of 26 to 32 equals 13 to 16. They're not the same, thus not similar.

Answer:

They are not similar, and the instructions says to put "None" otherwise, so...

Step-by-step explanation:

You can find this by dividing 32 by 16 to get something like 1.7777....

and dividing 26 by 12 should give the same ratio if they are similar, but it gives something like 2.1666...

Therefore they are not similar.

Congruent means two or more shapes are the same size and are similar, but for some things to be similar means that they have the same ratio, but not necessarily the same dimensions.

Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?

Answers

Answer:

2.5 meter

Step-by-step explanation:

in a right triangle, tan of an angle  = opposite side /adjacent side

tan 70° = x/ 0.9 , multiply both sides by 0.9

0.9 * tan 70° = x, solve on a calculator

x ≈ 2.5 m

4(3−y)=6−2(1−3y) Enter your answer in the box. y=

Answers

Answer:

12-4y=4-12y

8y=-8

y=-1

Answer:

y= 0.8

Step-by-step explanation

4(3−y) = 6−2(1−3y)

12−4y = 6−2(1−3y)

12−4y = 6−2+6y

12−4y = 4+6y

  12   =  4+10y

     8 = 10y

  0.8 = y

This is correct i just took the test. I hope this helps :)

HELP QUICK PLS!!!

Which is the lateral area of the cone?
8V3 yd
-60°
O 1287 yd?
2567 yd?
O (64/3) + yd
O (128/2) + yd?

Answers

Answer:

A

Step-by-step explanation:

The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi

find the difference 4 - 15

Answers

first 15- 4= 11

in question they gave 4-15 so

-11

solve the diagram below

Answers

Answer:

x=45

Step-by-step explanation:

straight line=180°

2x+x=3x

180-45=135

135/3=45

x=45

89-x=213 what's the answer?

Answers

Answer:

x = -124

Step-by-step explanation:

89-x=213

Subtract 89 from each side

89-x -89=213-89

-x = 124

Multiply each side by -1

x = -124

Step-by-step explanation:

89-x=213

89-213=x

x= -124

hope this helps

A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?

Answers

161 bc 30*1.4^5 so 5.37824830 around 161
90 bunnies because you take the 40% of the 30 and multiply that by 5 and add that to the existing amount

which expression is equivalent to 2 x 2^3 x 8

A.) 2^6
B.) 2^7
C.) 2^8
D.) 2^9

Answers

Answer:

B). 2^7

Step-by-step explanation:

[tex] = { \sf{2 \times {2}^{3} \times 8 }} \\ = { \sf{2 \times {2}^{3} \times {2}^{3} }} \\ = { \sf{ {2}^{(1 + 3 + 3)} }} \\ = { \sf{ {2}^{7} }}[/tex]

Answer:

The answer is B. 2^7

Step-by-step explanation:

I did the work out lol

Simplify 3^6x3
O A 36
B. 37
O. 96
D. 35

Answers

[tex]\\ \sf\longmapsto 3^6\times 3[/tex]

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\\ \sf\longmapsto 3^6\times 3^1[/tex]

[tex]\\ \sf\longmapsto 3^{6+1}[/tex]

[tex]\\ \sf\longmapsto 3^7[/tex]

8 students take 18 hours to construct a raft.
If the raft needs to be completed 12 hours earlier, calculate how many more students are needed.

Answers

Answer:

16

Step-by-step explanation:

Students                      8       x

Time taken (hours)     18     18 - 12 = 6

If number of students increases, the work will completed in less hours.

So inverse proportion

[tex]x =\frac{18*8}{6}=3*8 = 24[/tex]

Additional students required = 24 - 8 = 16

Find the Algebric Equation
The sum of the product of 5 and a number, and 8

Answers

Answer:

5x+8

Step-by-step explanation:

First find the product of 5 and a number

5x

Then sum it with 8

5x+8

Pls help me I’m new at Geometry :/

Answers

Answer:

17.3

Step-by-step explanation:

√(-9-8)² + (-6-(-3))²

√17² + 3²

√289 + 9

√298 = 17.3

Answer:

hope it helps u

Step-by-step explanation:

and pls mark as branlist ans

If a wheel has a radius of 5cm
1. how much is one rotation of the wheel
2. How many rotations can the wheel do within a distance of 50km

Answers

We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.

1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:

[tex]P = 2*3.14*R[/tex]

We know that our wheel has a radius of 5cm, then R = 5cm, we will get:

[tex]P = 2*3.14*5cm =31.4 cm[/tex]

Then one full rotation of the wheel is equal to

2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.

But first we need to have both values in the same unit system.

Knowin that:

1km = 1000m

1km = 100*1000cm = 100,000 cm

Then 50km = 50*(100,000 cm) = 5,000,000 cm

Now we can solve the quotient:

[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]

This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.

If you want to learn more, you can read:

https://brainly.com/question/11137975

Item 4
Ellie has 20 books on her shelf. Four of these books are nonfiction, and the rest are fiction.

What is the ratio of fiction books to nonfiction books on the shelf?


5:4

5:1

4:1

I don't know.

Answers

Answer:4:1 just taking to test as soon as you

Step-by-step explanation:

The ratio of fiction books to nonfiction books on the shelf is,  4

What is the ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Ellie has 20 books on her shelf

Four of these books are nonfiction

The rest are fiction

The ratio of fiction books to nonfiction books on the shelf = ?

The number of fiction books = ?

The number of fiction books = 20 - 4

                                                 = 16

Ratio =    fiction/nonfiction

         =      16/4

          =    4

Hence, the ratio is 4

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ2

Convert:5.6 L INTO Milliters

Answers

Answer:

5600 ml

Step-by-step explanation:

1 L = 1000 ml

5.6 L = 5.6 × 1000 = 5600 ml

Will Mark Brainlest Help pls​

Answers

Answer:

can you snap it again it's not clear

If 2(3x - 2)=26 then x = ?

Answers

Step-by-step explanation:

6x-4=26

6x=26+4

x=30/6

x=5

Answer:

x=5

Step-by-step explanation:

26÷2=13

13+2=15

15÷3=5

10-7+12 dived (2^3-6) hope you can answer

Answers

Answer:

The answer is 7.5

Which number sentence is true? A. 12 < |-12| B. |-12| < |-48| C. |-48| < |48| D. |12| > |-48|

Answers

Step-by-step explanation:

B ) |-12| < |-48|

because the signs are not taken on to consideration if we write in |

so hence B is right option

MARK AS BRAINLIST IF IT IS USEFUL

if A is a subset and equal to B then B'-A' is equal to​

Answers

Answer:

A-B

Step-by-step explanation:

It doesn't say A=B... But just that A is a subset of B.

Anyways, why not try an example to help reveal the answer.

Let the universe set, U, be U={1,2,3,4,5,6}.

Let B={1,2,3,4} and A={1,3,5}

First choice would become A'={2,4,6}

Second choice would become B'={5,6}

Third choice would become A-B={5}

Fourth choice is just { }

B'-A'={5}

The only choice matching is A-B

*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.

Pre calc homework online

Answers

Answer:

Step-by-step explanation:

t = [tex]cos^{-1} (\frac{3}{5})[/tex]

t ≈ 53°

cos t = cos (- t) = [tex]\frac{3}{5}[/tex]  

sec ( [tex]\pi[/tex] + t ) = -  [tex]\frac{5}{3}[/tex]

What is the value of the expression below when w=5
4w-9.

Answers

Answer:

11

Step-by-step explanation:

let w= 54w - 9= 4 × (5) - 9= 20 - 9= 11

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Erica saw a skateboard on sale for $59.95 the original price of the skateboard was $79.95 what is the approximate percent discount on the skateboard ?

Answers

Answer: 25%

Step-by-step explanation:

Please help! Thank you

Answers

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

PLS HELP ASAP!!

Solve the inequality for 0 √2sinx+√2cosx>0

a. 0 b. 3π/4 c. 0 d. 0

Answers

Answer:

2

Step-by-step explanation:

w

Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

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