Find the measure of GH.

Find The Measure Of GH.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The product of the external part and the whole secant is equal to the square of the tangent, that is

8(8 - 6 + 2x) = 12²

8(2 + 2x) = 144 ( divide both sides by 8 )

2 + 2x = 18 ( subtract 2 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Then

GH = - 6 + 2x = - 6 + 2(8) = - 6 + 16 = 10 → D

Answer 2

Answer:

[tex]\textsf{GH=10}[/tex]

Step-by-step explanation:

[tex](EF)^{2} =FG(FH)[/tex]

[tex](12)^{2} =8(8-6+2x)[/tex]

[tex]144=8(2+2x)[/tex]

[tex]144=16+16x[/tex]

[tex]16x=144-16[/tex]

[tex]16x=128[/tex]

[tex]x=128/16=8[/tex]

So, [tex]GH=-6+2(8)=[/tex]

[tex]-6+16=[/tex]

[tex]=10[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]


Related Questions

Does the equation |2x + 11| = 21 have 0, 1, 2, or 3 solutions? Explain your answer

Answers

Answer:

2x +11=21 and 2x+11=-21 it has 2 solutions because of the absolute value and to solve you would jist solve for X

 Which table below matches the scatter plot?



x 3 4 6 1 7 8 1 2
y 5 9 3 2 7 6 4 5

x 2 1 8 6 7 1 4 3
y 5 9 3 2 7 6 4 5

x 3 4 6 1 7 8 1 2
y 1 2 3 4 5 6 7 8

x 3 4 6 1 7 8 1 2
y 2 1 7 1 3 5 6 4

Answers

Answer:

The first table

x 3 4 6 1 7 8 1 2

y 5 9 3 2 7 6 4 5

Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.

Answers

Answer:

D

Step-by-step explanation:

Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h

If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.

What is a pyramid?

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Let say

Base width is = w

Height is = h

Volume V = w²h/3

Given

14 = w²h/3

For volume to be 28

28 = w²(2h)/3

So it is clear that he needs to double the height.

To learn more about pyramids,

https://brainly.com/question/17615619

#SPJ2

Write the parametric equation of the line: 10x - 4y = 20

Answers

The parametric equation of the line10x - y = 20 is given as y = 2.5t - 5

Parametric equation

parametric equation are equations where the dependent variable is expressed in terms of independent variable

say dependent variable y = f(t)

independent variable x = t

Given data

10x - 4y = 20

solution

10x - 4y = 20

10x - 20 = 4y

4y = 10x - 5

y = 2.5x - 5

where x = t

y = 2.5t - 5

Read more on parametric equations here: https://brainly.com/question/12953407

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How would we be able to use conversions to solve this problem?

Answers

Answer:

It tells you that 1000g are in 1 kg. All you need to do is convert your 15 kg to 15000 g.

Answer:

Step-by-step explanation:

1 kg = 1000 g

15 Kg = 15 *1000 = 15000 g

7.75 g = 1 cm³

1 g = 1 ÷ 7.75 cm³

15000 g = [tex]\frac{1}{7.75}*15000 = 1935.48[/tex]

              = 1935 cm³

Inner diameter = 6 cm

Inner radius = r = 6/2 = 3 cm

Outer radius = R = inner radius  + thickness

  R = 3 + 2 = 5 cm

Volume of cylindrical pipe = 1935 cm³

[tex]\pi h*(R +r)(R - r) = 1935\\\\3.14 * h *( 5 + 3)(5 - 3) = 1935 \\\\3.14 * h * 8 *2=1935\\\\h = \frac{1935}{3.14*8*2}\\\\h = 38.52 = 39[/tex]

h = 39 cm

Factorize. a^4-a^2+2a-1​

Answers

Answer:

(a²-a+1)(a²+a-1)

Step-by-step explanation:

[tex]Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\[/tex]

PLS HELP! Using the diagram shown below, which statement is true?

Answers

Your answer is : the measure of

please help need now will give brainlest if work is shown

r÷(-8)=5

Answers

Answer:

r= -35

Step-by-step explanation:

First, move the -8 over to the other side by multiplying by -8

r=5×(-8)

r= -35

One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

16

Step-by-step explanation:

First use the Pythagorean theorem a^2+b^2=c^2.

12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.

Step-by-step explanation:

using pythogoras theory

hyp^2=opp^2+adj^2

you have been given the hyp and the opp so lets make the unknown x

20^2=12^2+x^2

400 =144+x^2

make x the subject of the formula

400-144=x^2

266=x^2

x=the square root of 266

The average of A and B is 6. The average of X, Y, and Z is 16. What is the average of A, B, X, Y, and Z?

Answers

Answer:

12

Step-by-step explanation:

Average of A and B is 6

(A+B) /2 = 6

Multiply each side by 2

A+B = 12

average of X, Y, and Z is 16

(X+Y+Z)/3 = 16

Multiply each side by 3

(X+Y+Z) = 48

To find the average of all of them

(A+B+X+Y+Z)/5

replace A+B with 12 and X+Y+Z with 48

(12+48)/5

60/5 = 12

Durning Saturday’s thunderstorms a total of 500 mm of rain fell in fell in 20 minutes.How many mm fell per minute

Answers

Answer

25mm of rain fell each second

Step-by-step explanation:

we know that 500 mm fell in 20 minutes

so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:

500/20 = 25

therefore, 25mm of rain fell each minute

hope this helped:)

Answer:

25 mm per minute

Step-by-step explanation:

Take the amount of rain and divide by the number of minutes

500/20

25 mm per minute

What is the surface area of the rectangular pyramid below 11, 11, 11

Answers

The surface area of a rectangle is 33

What is the unit rate 25 for $50.00

Answers

Answer:

1/2

Step-by-step explanation:

For every 1 item bought, $2.00 are spent.

Brainliest please!

Answer:

1/2

Step-by-step explanation:

Unit rate is the division of two things where the quantity of an object is divided over the units.

25 / 50 = 1/2

So, the unit rate is 1/2.

Hope this helped.

A motorist starts travelling at 2317 on a 172-km journey. At what time will he arrive at his destination given that he travels at an average speed of 48 km/h?​

Answers

Answer:

i dont know

Step-by-step explanation:

ask sssniperwelperer562

there are 7 socks in a bag 3 of those socks are blue what is the probability of picking a Blue sock randomly from the bag. Answer as simplified fraction of the form a/b​

Answers

Answer:

3/7

Step-by-step explanation:

there are is a total of 7 socks and 3 are blue making blue socks be 3/7

What is the vertex of g(x) = 3x2 − 12x + 7?

(−6, −5)
(−2, −5)
(2, −5)
(6, −5)

Answers

(h ,k) —> (2 , –5)

g(x)=3x²-12x+7 —> y= 3(x-2)²-5

y=a(x–h)²+k —> a= 3 , h=2 , k= –5

(h ,k ) —> (2, –5)

I hope I helped you^_^

Answer:

C, Option 2, or (2,-5)

Step-by-step explanation:

edge 2021

Make y the subject 3xy+6=v

Answers

Answer:

y = [tex]\frac{v-6}{3x}[/tex]

Step-by-step explanation:

[tex]3xy+6=v\\3xy=v-6\\y=\frac{v-6}{3x}[/tex]

 Estimate the correlation coefficient that would best describe the data below.

Answers

Answer:

First option

... -0.9 ...

In a right triangle ABC , C is the right angle What does sin B equal​

Answers

Answer:

The answer is......

COS A

8. Solve for x. Round your answer to the nearest tenth.
8.6
4
x
0176

Answers

Answer:

C. 9.5

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2.

4^2 + 8.6^2 = c^2

16 + 73.96 = c^2

c^2 = 89.96

c = 9.4847....

Convert 13pi/6 to a degree measure

A=390
B=2450.44
C=30
D=780

Answers

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

please help me on number 4!!

Answers

Answer:  B) 5 inches

======================================================

Explanation:

1 ft = 12 in

9 ft = 108 in ... multiply both sides by 9

9 ft, 9.5 in = 108 in + 9.5 in = 117.5 in

The board's length of 9 ft, 9.5 inches is the same as 117.5 inches.

It's cut into sections of 11.25 inches, so we have (117.5)/(11.25) = 10.44 approximately which rounds down to 10.

Having 10 sections of length 11.25 inches each, takes up 10*11.25 = 112.5 inches so far. That leaves 117.5 - 112.5 = 5 inches as the remaining piece of the board.

Round to the nearest penny.
$11,579.9998

Answers

Answer:

Step-by-step explanation:

So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!

I hope this helps!! Have a good rest of your day! :)

8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

4096

Step-by-step explanation:

8^6÷8^2

First step is to solve the exponents

8 to the power of 6 is 262144

8 to the power of 2 is 64

Then divide 262144 by 64 : 4096

Answer:

it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n

so 8 to the power 6-2

= 8 to the power 4

that will be 4,096


Write the equation of the line in slope-intercept form with a slope of 5/6 and passes through the point (0, -6).

Answers

Answer:

y=(5/6)x-6

Step-by-step explanation:

The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6

A dripping tap loses water at a rate of 5mL a minute.

How long does it take to lose one litre?

Answers

1 liter = 1000mL

Divide 1000mL by mL per minute:

1000 / 5 = 200 minutes ( 3 hours and 20 minutes)

I need help ASAP!!Please be sure that you know the answer

Answers

Answer:area is 60, height is 4, and perimeter is 34

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option C, 93.6 mi³

Step-by-step explanation:

Volume of the triangular prism,

base area × height

= (8×3.9/2)×6

= 93.6 mi³

Please anyoneeeeeeee.....i am almost done just please help me

Answers

Answer:

B. XV and XY

Step-by-step explanation:

you can eliminate the top two options because those aren't rays. XV and XY are the only ones that end in X

Write all the possible two-digit numbers which can be formed using the digits 0,3,5

Answers

Answer:

i) where the digits can repeat

1. 30

2. 50

3. 33

4. 55

5. 35

6. 53

ii) where the digits cannot be repeated

1. 30

2. 50

3. 35

4. 53

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