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.

Learn more about arc measure of a circle here:

https://brainly.com/question/12477901

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Related Questions

500 photos in a album each page holds 5 if 55% of the album is empty how many pages are filled with photos

Answers

Answer:

45 pages are filled with photos

Step-by-step explanation:

500 * 0.55 = 275

500 - 275 = 225

225/5 = 45

Can I plz get help someone plzzz

Answers

Answer:

3705.97 mi³

Step-by-step explanation:

Here is a number line.
-3
-2 -1
0
3
(a) On this number line, show the inequality -2 = x < 3
(b) Solve 5 + 3 > 27

Answers

Answer:

no no nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

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Step-by-step explanation:

Answer: a) see the graph below

b) n > 24/5 or 4.8

Step-by-step explanation:

a) see the graph below.

-2 is smaller and equal to x, so the point is close circle; and 3 is only greater than x, so it only has open circle, and the line was between the range from -2 to 3.

b) 5n + 3 >27

5n > 24 [Subtradt 3 from both side]

n > 24/5 or 4.8

You are graphing rectangle ABCD in the coordinate plane. The following are the three vertices of the rectangle:
A (2,1), B(5,1). C(5,6)
What are the coordinates of point D?

Answers

Has the same x-value of A
And the same y-value of B
So you’re coordinate is (2,6)

Which of the following represents the factorization of the trinomial below?
x^2- X-20

Answers

Answer:

(x-2)(x-10)

Step-by-step explanation:

Hope this helps :)

Identify the number that does not belong with the other three. Explain your reasoning.

Answers

Answer:

To identify which integer does not belong with the rest, we must first evaluate each.

Step-by-step explanation:

[25.6...] is already evaluated. Therefore, let's move on to Integer b: [tex]\sqrt{x}[/tex], where is x is 48.

48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3√48 = [tex]\sqrt{2}[/tex] * 2 * 2 * 2 * 3We have 1 perfect sqaure: [tex]\sqrt{2}[/tex] * 2When we multiply, we receive 2.Therefore, 2 * [tex]\sqrt{2 * 3}[/tex]

When -51/2 is relatively prime, we receive -25 1/2

Finally, the last integer is already simplified.

Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.

6 1/2 divided by 3 2/3

Answers

1 1/2 !!! here you go

Answer:

39/22 = 1 17/22

Step-by-step explanation:

Attached below :

I hope im right!!

Which is larger, 8 tons or 14,000 pounds?

Answers

Answer:

obviously 8 tons bro ...

Answer:

Since 1 ton equals 2000 pounds, 8 tons would equal 16000, so 8 tons is more than 14000 pounds

Step-by-step explanation:

All 930 students enrolled at a school either walk to school or ride the bus. Of these students, there are exactly 5 times as many
who ride the bus as there are who walk to school. How many students walk to school?

Answers

I don't know. I don't see any equal sign

Step-by-step explanation:

(3x + 10° = 3x + 1

(4x + 2)° = 1

77° = 1

34 = 34

One interior angle of a parallelogram is 65 degrees . If the remaining angles have measures of a,b and c, what is the value of a+b+c?

Answers

Answer:

65 + 65 = 130

360 - 130 = 230 degrees

Review the proof of de Moivre’s theorem.

Proof of de Moivre's Theorem
[cos(θ) + i sin(θ)]k + 1
A = [cos(θ) + i sin(θ)]k ∙ [cos(θ) + i sin(θ)]1
B = [cos(kθ) + i sin(kθ)] ∙ [cos(θ) + i sin(θ)]
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i [sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = ?
E = cos[(k + 1)θ] + i sin[(k + 1)θ]

Which expression will complete the proof?

Answers

Answer:

Step-by-step explanation:

Just took it.

Answer: D. cos(kθ + θ) + i sin(kθ + θ)

Step-by-step explanation:

The screenshot pretty much speaks for itself, but you can see that the proof ends with cos[(k + 1)θ] + i sin[(k + 1)θ]. That means that addition is happening in Step D, and that the expressions in the cosine and sine parts are the same. So, the correct option is D. Hope that helps!

helpppppppppppppppppppppppppppp

Answers

Answer:

(3a + 8b) (3a - 8b)

Step-by-step explanation:

The difference in two perfect "squares" in the scenario would be the (8b) and (-8b).

The 3a would stay consistent through out the whole.

what’s (10a ^2 )(−6a ^4 ) Simplify

Answers

Answer: -60a^6

Step-by-step explanation:

multiply 10 and 6. combine the exponents

Answer:

[tex] - 60a ^{6} [/tex]

Step-by-step explanation:

1) Take out the constants.

[tex](10 \times - 6) {a}^{2} {a}^{4} [/tex]

2) Simplify 10 × -6 to -60.

[tex] { - 60a}^{2} {a}^{4} [/tex]

3) Use product rule.

[tex] - 60 {a}^{2 + 4} [/tex]

4) Simplify 2 + 4 to 6.

[tex] - 60 {a}^{6} [/tex]

20 points
On Sunday, the 13th of April, the newspaper printed that the basketball game this past Friday April 14th was “One that will never be forgotten.” Which of the following best explains what happened in this section?

Answers

Answer:

yes the person who responded before is right

The area of a trapezium is 300sqm and its height is 10m, if one of the parsllel sides is 10m, the length of the other parallel side is

Answers

Answer:

50M

Step-by-step explanation:

The area of a trapezium = 1/2 x ( a + b) x h

a and b are the parallel sides

h = height

300sqm = 0.5 x (10 + b) x 10

divide both sides by 10

30 = 0.5 x (10 + b)

Divide both sides by 0.5

60 = (10 + b)

b = 60 - 10 = 50

which inequality has a solid boundary line when graphed?

Answers

Answer:

4th option

Step-by-step explanation:

An inequality using > or < has a broken boundary when graphed.

An inequality using ≥ or ≤ has a solid boundary when graphed

Then y ≥ 9x + 9 has a solid boundary

Rewrite the following without an exponent.
(8/5) -1

Answers

Answer:

5/8.

Step-by-step explanation:

a^-1 = 1/a

So here we have:

(8/5)^-1

= 1/ (8/5)= 5/8.

Please help with #17 & #18 really struggling!

Answers

It's in a photo :))))))))))))))))))))))))

6 shirts cost $240.84 find the cost of 1 shirt

Answers

Answer:

$40.14

Step-by-step explanation:

Please Help!!!!!!!! I just need the answer.

Answers

Answer:

the answer is B

Step-by-step explanation:

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