Find LJ and mGM if KP=PL and GH=36 ft

Find LJ And MGM If KP=PL And GH=36 Ft

Answers

Answer 1

The length of LJ is 18 feet.

What is an arc measure of a circle?

'An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees.'

According to the the given problem,

If we draw a dotted line from H to P and from J to P,

∠HKP = ∠JLP (Similarity of triangles)

HP = JP

KP = LP

⇒ ΔHKP ≅ ΔJLP

⇒ KH = LJ

Now, joining G and P,

GP = HP (radius of the circle)

PM is perpendicular to GH.

⇒ PM equally divides GH .

⇒ KH = GK = [tex]\frac{1}{2}[/tex] of GH

          = [tex]\frac{1}{2}[/tex] × 36

          = 18 feet

Hence, we can conclude that the length of LJ is 18 feet.

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Related Questions

Ten friends shared a bag of popcorn. Using p to represent the bag of popcorn, which expression represents the amount each friend received? *
1 point
p / 10
10 - p
10p
10 + p

Answers

It’s the first choice

Helpppppp please look at the picture i added

Answers

just shade in one box as 1/2 divide by 5 is 1/10

Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her jump distance.


Month Vertical Jump in inches
0 16
2 17
4 18
6 19

Answers

My name is so much I can do it

Answer:

f(x)=1/2x+16

Step-by-step explanation:

19 POINTS - FIND THE ARC

Answers

Step-by-step explanation:

C

The measure of an central arc equal arc length so the arc measure 40 degrees.

Can someone help me with this geometry circle question ty

Answers

Honestly it’s not that hard just plug in the numbers into the circle formula

Answer:

Area = 615.75 [tex]m^{2}[/tex]

Step-by-step explanation:

A = π [tex]r^{2}[/tex]

A = 3.14 x [tex]14^{2}[/tex]

A = 615.75 [tex]m^{2}[/tex]

Is this correct? If not please tell me what it is! Thank you <33

Answers

Answer:

yes it is correct. good job!

Find the value of each variable.
x = and y =

Answers

Answer:

x = 16

y = 16√3

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 32/2 = 16

cos(30 degrees) = √3/2

y = 16√3

Answer:

x = 16

y = 27.7

Step-by-step explanation:

solving for x: use sine

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 30 = [tex]\frac{x}{32}[/tex]

sine of 30 is 0.50

⇒ 0.50 = [tex]\frac{x}{32}[/tex]

multiply 32 on both sides:

⇒ 0.50 x 32 = [tex]\frac{x}{32}[/tex] x 32

solve:

⇒ 16 = x

solving for y: use cosine

cosine = [tex]\frac{adajcent}{hypotenuse}[/tex]

⇒ cosine 30 = [tex]\frac{y}{32}[/tex]

cosine of 30 is 0.866

⇒ 0.866 = [tex]\frac{y}{32}[/tex]

multiply 32 on both sides

⇒ 0.866 x 32 = [tex]\frac{y}{32}[/tex] x 32

solve:

⇒ 27.7 = y

7 of 10
© Brian invests £990 into his bank account. He receives 2% per year simple interest. How much
will Brian have after 4 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

1071.61

Step-by-step explanation:

That's how much

I need help on this math question

Answers

Answer:

A is correct. :)

Step-by-step explanation:

what is the circumference of a circle with a radius of 16mm

Answers

Answer:

100.48

Step-by-step explanation:

π = 3.14

C = circumference

To find the circumference for a circle you must do 2 times pie times the radius.

(2·π·16)

In this case the radius is 16.

2·π = 6.28

6.28 · 16 = 100.48

What does an exponent do?

Answers

Answer:

An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. x is the base and n is the exponent or power

Example:

[tex]5^{2}[/tex] = 25

not 5x2

5x5

the numeber times the number itself by how many times the exponet says.

***i hope i was clear! ^^

Answer:

An exponent refers to the number of times a number is multiplied by itself. For example 2 to the 3rd.It means 2*2*2=8.

2 to the third is not the same as 2*3=6

if you want to know what I mean by 2 to the 3rd please take at the picture above

Layla bought a new computer for $500. Each year, the value of the computer decreased by 50% of the previous years value. At this rate, what can Layla expect the approximate value f the computer to be after 4 years?
Layla bought a new computer for $500. Each year, the value of the computer decreased by 50% of the previous years value. At this rate, what can Layla expect the approximate value f the computer to be after 4 years?
A. $125.00
B. $62.50
C. $31.25
D. $250.00
A. $125.00

B. $62.50

C. $31.25

D. $250.00

Answers

Answer:

Answer = C.31.25

Step-by-step explanation:

SO there are 4 years and every year the price gets 50% of so we take it as 100/2 = 50% so we have to divide 500 by 2 four times that is -

1. 500/2 ( 50% of 500) = 250

2. 250/2 (50% of 250) = 125

3. 125/2 (50% of 125) = 62.50

4. 62.50/2 (50% of 62.50) = 32.25

so we divided 500 4 times to get the answer as 32.25$

X is 4 less than a number y. What expression represents the value of x?

Answers

Answer:

y - 4 = x

Step-by-step explanation:

4 less than y is y minus four, so therefore y - 4 = x

Answer: x-4
Hope this helped

Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False

Answers

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

please help me! this is hard​

Answers

Answer: 1430 girls

Step-by-step explanation:

In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls

Let's sum up what we learned

1. 12,481 people are at a concert

2. 8906 adults are at this concert

3. 3,575 are children

4. 2145 are boys

5. Which means there are 1430 girls

Find the value of the variable. No scams please.

Answers

There you go, I’m positive it’s correct.

Please help with these (algebra)

Answers

The answers for the first is D and for the second is B
Quotient is division, product is multiplication, difference is subtraction, and sum is addition

IF Triangle DEF JKL, find KL.

Answers

Answer:

b

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{EF}[/tex] = [tex]\frac{JK}{DE}[/tex] , substitute values

[tex]\frac{6x+3}{x+11}[/tex] = [tex]\frac{25}{10}[/tex] ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

What is the area of the composite figure?

Answers

Answer:

59.5

Step-by-step explanation:

(7x7) + (7x3)/2

somebody please help im giving 20 points and a brainliest !

Answers

Answer:

Price today= 3078

Price 10 years from today= 3877.88

Step-by-step explanation:

Price today= 3000 (1.026)= 3078

Price 10 years from today= 3000 (1.026)^10= 3877.88

What is the expression in repeated multiplication form of (-8)^3 • (-8)^4

Answers

Answer:

(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)

Step-by-step explanation:

What would be the coefficient of y in this expression:
2y^2/6 + 5/7 + y/4.
I’m thinking it is 1 or 4 but cannot come to a conclusion, and there is nothing on the internet for this
Thank you.

Answers

Answer:

is it written like this?

if so then the coefficient of y is 1

Answer:

¼

Step-by-step explanation:

A coefficient is the number that comes before a variable, including its sign (plus/minus). Thus, the coefficient of y is the number that comes before the variable y.

[tex] \frac{y}{4} [/tex] can also be written as [tex] \frac{1}{4} y[/tex]. Since the sign before ¼ is a plus sign, the coefficient of y can simply be written as ¼.

what is x/4 -5> -4 .asdfasdfasdfa

Answers

Answer:

x/4 -5> -4

add 5 on both sides

x/4 > 1

multiply by 4 on both sides

x > 4

Step-by-step explanation:

Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.

what is the slope?​

Answers

Answer:

26 min

Step-by-step explanation:

The slope of the data will be equal to 2 for the book reading.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run of the line.

Given that Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.

The slope of the data will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 29 - 3) / ( 37 - 24)

Slope = 2

Therefore, the slope of the data will be equal to 2 for the book reading.

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What is the probability of a face with less than 5 spots turning up when you toss a die?
answer correctly and please explain

Answers

Answer:

2/3

Step-by-step explanation:

Probability =

= No. of faces having less than 5 spots / Total no. of faces

= 4/6

=2/3

The probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

What is probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of a face with less than 5 spots turning up when a die is tossed has to be find out.

Here, in this die, it is known that,

The number of total outcome is 6 {1,2,3,4,5,6}The number of favorable outcome to be a face with less than 5 spots is 4 {1,2,3,4}.

Thus, the probability of this event is,

[tex]P=\dfrac{4}{6}\\P=\dfrac{2}{3}\\P=0.667[/tex]

Thus, the probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

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Simplify the question

Answers

Answer:

15x^2+3x-2

Step-by-step explanation: Just like regular math but with negatives!

$24? 1. Taxi Fares are normally distributed with mean fare $22.27 and a standard deviation of $2.20.
A) What is the probability of a single Taxi fare being over $24? 0.2158
What is the probability that the average of a random sample of 10 taxi fares being over 'Sd=22 0068
B) Which should have a greater probability of being between $12 and $24 - the mean of 10 randomly selected taxi fares or the amount of a single randomly selected taxi fare? Why?​

Answers

okay first lets look at the question once again $24? 1. Taxi Fares are normally distributed with mean fare $22.27 and a standard deviation of $2.20.

A) What is the probability of a single Taxi fare being over $24? 0.2158

What is the probability that the average of a random sample of 10 taxi fares being over 'Sd=22 0068

B) Which should have a greater probability of being between $12 and $24 - the mean of 10 randomly selected taxi fares or the amount of a single randomly selected taxi fare? Why?​

So for A. its i dont know

and for B. its i dont know either

Chloe is thinking of a number. When seven more than this number is doubled, the result is 46. Let n be the number Chloe is thinking of. Set up and solve an equation to find the value of n.

Answers

Answer: 16

Step-by-step explanation:

Assume that this number is x:

When seven more than this number is doubled, the result is 46. In formula form that would be:

2 * (7 + n) = 46

Solving this formula:

2 * ( 7 + n) = 46

7 + n = 46/2

n = 46/2 - 7

n = 16

Which number is the greatest?

Answers

Answer:

D

Step-by-step explanation:

Of 120 owners of reptiles surveyed, 27 own snakes as pets. What percent of
the reptile owners own snakes as pets?

Answers

Answer:

22.5%

Step-by-step explanation:

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