What are HK and GH?

A. HK = 5 GH = V29
B. HK=4 GH=2\5
C. HK = 2V5 GH=2v6
D. HK = V5 GH=3

What Are HK And GH?A. HK = 5 GH = V29B. HK=4 GH=2\5C. HK = 2V5 GH=2v6D. HK = V5 GH=3

Answers

Answer 1

The triangles are similar triangles, and the values of HK and GH are (b) 4 and 2√5, respectively

How to determine the length HK?

The triangles are similar triangles, and they are represented by the following similarity ratio:

GK : HK = HK : JK

From the question, we have:

GK = 2 and JK = 8

So, we have:

2 : HK = HK : 8

Express as fractions

[tex]\frac{2}{HK} = \frac{HK}{8}[/tex]

Cross multiply

HK² = 16

Take the positive square root of both sides

HK = 4

The length GH is calculated using the following Pythagoras theorem

GH² = GK² + HK²

This gives

GH² = 2² + 4²

Evaluate the squares

GH² = 20

Solve for GH

GH = 2√5

Hence, the values of HK and GH are (b) 4 and 2√5, respectively

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Related Questions

7 (5x-1) answer plss

Answers

Answer:

35x - 7

Step-by-step explanation:

7(5x - 1)

--> 7 x 5×

= 35x

--> 7 x -1

= -7

==> 35x - 1

Hope it helps :))

Answer:

35x - 7

Step-by-step explanation:

Q) 7(5x - 1) = ?

→ 7(5x - 1)

→ 35x - 7

So, the answer is 35x - 7.

This year, Seaside recycled 21,600 tons of material. If this amount increases by 9% each year, how much material will be recycled 7 years in the future?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

39,485.67

Step-by-step explanation:

an 11 foot ladder is placed against the wall. the ladder is on ground level at an angle of 73.5° to the horizontal. about how far up the wall will the top of the ladder be

Answers

The 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Length of the ladder = 11 foot

The angle between ladder and horizontal = 73.5 degree

The height of the wall, the top of the ladder be(h):

From the sin ratio:

sin73.5 =  h/11

h = 11sin73.5 = 10.547 feet

Thus, the 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.

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H. e. l. p MeEe




plss​

Answers

Step-by-step explanation:

here you go hope it helps you

SOMEONE PLEASE HELP ME


The following cone has a height of 12 cm and a slant height of 13 cm. A right angle is formed between the height and radius of the cone

Answers

Answer:

Radius of cone = 5cm

Step-by-step explanation:

You can figure out a radius of the base of the cone by using Pythagoras as you know the hypotenuse (slant height) and the height of the triangle so:
[tex]13^2-12^2 =radius^2[/tex]

[tex]169-144 =25 = radius^2\\[/tex]

[tex]radius = 5[/tex]cm

Answer:

5cm

Step-by-step explanation:

Identify the bases and faces, and then the name of the given figure.

pentagon; triangles; pentagonal pyramid
heptagon; triangles; heptagonal pyramid
pentagon; rectangles; pentagonal prism
heptagon; rectangles; heptagonal prism

Answers

Answer:

heptagon; rectangles; heptagonal prism

Step-by-step explanation:

Since the base is a heptagon (hepta- is seven sides), that gets rid of both the pentagon answers. Since the sides are all rectangles, that gets rid of the Heptagon and Triangles answer. :)

Need help with this. Find the value of x

Answers

Answer:

x=72.4

Step-by-step explanation:

Since we have an angle that is facing a known side, we are able to use sine

Step 1- Prepare your equation: sin(∅°)=opposite/hypotenuse

Step 2- Substitute: sin(28°)=34/x

Step 3- Calculate: use a graphing calculator to solve the equation, make sure to have the answer to degrees not radians

Step 4- Answer: 72.4 by calculator

ur wlcm :)

brainliest?

BRAINLIEST to the best answer with a good explanation!

Answers

Answer:

£15.10

x + 20

64 counters in the bag

Total money = £21.30

Step-by-step explanation:

20p = £0.20

50p = £0.50

100p = £1.00

Total value:

⇒ 8 × 20p + 5 × 50p + 11 × £1 = 8 × 20p + 5 × 50p + 11 × 100p

                                                = 160p + 250p + 1100p

                                                = 1510p

                                                = £15.10

-----------------------------------------------------------------------------------------------------

20 more than x:   x + 20

-----------------------------------------------------------------------------------------------------

If one quarter of the counters in a bag are yellow, and there are 16 yellow counters in the bag:

⇒ total number of counters in the bag = 16 × 4 = 64

-----------------------------------------------------------------------------------------------------

Let x = number of 20p coins

Let y = number of 50p coins

Let z = number pf £1.00 coins

Given:

20p coins are worth £2.80

⇒ 0.20x = 2.80

⇒ x = 2.80 0.20

⇒ x = 14

Therefore, there are 14 twenty pence coins.

Given:

One third of the coins are 20p coins

We have calculated that there are 14 twenty pence coins, therefore:

⇒ total number of coins = number of 20p × 3            

                                        = 14 × 3

                                        = 42

As the total number of coins is 42:

⇒ x + y + z = 42

⇒ 14 + y + z = 42

⇒ y + z = 42 - 14

⇒ y + z = 28

Therefore, the total number of 50p and £1 coins is 28.

Given:

10 more 50p coins than £1 coins

⇒ y = z + 10

Substitute  y = z + 10  into y + z = 28 and solve for z:

⇒ (z + 10) + z = 28

⇒ 2z + 10 = 28

⇒ 2z = 18

⇒ z = 9

Therefore, there are 9 one pound coins

total number of coins:

⇒  x + y + z = 42

substituting the found values of x and z:

⇒  14 + y + 9 = 42

⇒  23 + y = 42

⇒  y = 19

Therefore, there are 19 fifty pence coins

20p coins = 14

50p coins = 19

£1 coins = 9

Therefore, total money:

= 14 × 20p + 19 × 50p + 9 × 100p

= 280p + 950p + 900p

= 2130p

= £21.30

Write an algebraic expression for each of the statements below.

Answers

Answer:

D) 3x + 7y = 49

E) x / 3 = 9

F) 2x + 4

Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of water at the store. How many gallons of liquid did she buy?

Answers

Answer:

3 gallons

Step-by-step explanation:

5
X
40
9
Find the exact value of x.
x =

Answers

Since that is a right triangle, we can use pythagorean theorem.

[tex]c^2=a^2+b^2[/tex]

solve.

[tex]c^2=40^2+9^2\\\\c^2=1681\\\\\sqrt{c^2}=\sqrt{1681} \\\\c=41[/tex]

the value of x is 41

Please answer, much appreciated!!!! (will mark brainliest)
Given that the person chosen is an 11th grader, what is the probability that they walk or bike to school.

Answers

Answer:

Step-by-step explanation:

P(Walk or Bike)=[tex]\frac{72}{466} +\frac{90}{466}[/tex]

                        =[tex]\frac{81}{233}[/tex]  = 0.347

Need help with this question

Answers

Answer:

D

Step-by-step explanation:

Factor
this is how is should be
x + 2 = 0
=> x = -2
x - 3 = 0
=> x = + 3

only question 14 but if u want u can answer question 14 and 15

Answers

Answer:

14 is 269000-2500=266500

Step-by-step explanation:

help please! math volumes

Answers

Answer:

980.18 cm^3

Step-by-step explanation:

Volume of cylinder w/out spheres = pi r^2 h

  = pi 8^2 *6

 now subtract the volume of the TWO spheres

      2   * 4/3 pi * 3^3

for result = 980.18 cm^3

A bag contains 3 red, 5 black, and 4 white marbles. What is the probability of picking a red marble, replacing it, and then picking a black marble?​

Answers

Answer:

1/12 for red marbles

1/12 for black marbles

Step-by-step explanation:

reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again

which expression shows 20+24 with 2 as a factor of each term

Answers

Answer:

2(10+12)

Step-by-step explanation:

20+24

⇨2(10+12)

Therefore ⬇︎

2(10+12) is our expression with 2 as a factor for each term ツ

Determine the period.

Answers

Answer:

Step-by-step explanation:

we are being told that each square is one unit.  so,  look at peak to peak and count the units.  

1,2,3,4,5,6,7

From peak to peak is 7 units, so the period is 7

Y= 4x+3 make x the subject

Answers

Answer:

x = (y-3)/4

Step-by-step explanation:

Y= 4x+3 make x the subject

4x = y - 3

x = (y-3)/4

What is the solution to this system of equations?

X+ 2y = 4
2x-2y = 5


O (3.-57)

(3, 1/2)

no solution

infinitely many solutions​

Answers

(3,1/2)
2x-(4- x)=5
X=3
2x3-2y=5
Y=1/2

differnece between 2x+4 and 3x+4 and 4x+4

Answers

Answer:

the difference is the slope

Step-by-step explanation:

y = mx+b

m is the slope

b is the y-intercept

2x+4

3x+4

4x+4

the m constant changes meaning the slope is the difference

What is the period of the function graphed below?

Answers

Answer:

2 pi

Step-by-step explanation:

Period of the function graphed = 2π

What is period of function?

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

Given,

Graph of a function.

Period of the function = Distance between two peaks or two troughs in the graph

Period of the function = 2π - 0 = 3π - π = 2π

Hence, 2π  is the period of the function graphed.

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PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class

Answers

Answer:

it is 20 miles per gallon

Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest cubic millimeter.

Answers

Answer:

10825 mm³

Step-by-step explanation:

Volume of cylinder shaped stack

V = πr²hV = 3.14 × (9.525)² x 38V = 119.32 x 90.725625V = 10825.3816 mm³V = 10825 mm³

What is the slope of the line through the points (-2, -1) and (4, 3)? ​

Answers

Answer:

#2 option: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}[/tex]

=  [tex]\frac{2}{3}[/tex]

Please help me on this!

Answers

Answer:

B

Step-by-step explanation:

Answer choice A,C, and D are all linear based on their context. Answer choice B "doubles" resulting in an exponential function.

Three of the angles of a quadrilateral are each 95º. Find the fourth angle.​

Answers

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

what is the probability of landing on green on the spinner?

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

2 green / 8 total colors

2/8

Simplify to 1/4 of a chance

3. The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Answers

Answer:

  10,071 years

Step-by-step explanation:

If 'a' is the fraction remaining, it satisfies the equation ...

  a = (1/2)^(t/5750)

Solving for t, we get ...

  log(a) = log(1/2)×t/5750

  t = 5750×log(a)/log(1/2) ≈ -19,101.09×log(a) . . . years

__

If 70.3% is lost, then 1 -0.703 = 0.297 is the fraction remaining. The age is estimated to be ...

  -19,101.09×log(0.297) ≈ 10,071 . . . years

The bones were about 10,071 years old.

13 less than the product of 4 and a number n is 5

Answers

Answer:

(5 × 4) - 13 = 7

Step-by-step explanation:

Given that,

→ n = 5

Let's solve the problem,

→ x = n × 4

→ x = 5 × 4

→ [ x = 20 ]

Then 13 less than the product will be,

→ x - 13

→ 20 - 13 = 7

Therefore, the solution is 7.

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