GK = 24, HJ = 10, and GH = HI = IJ. Find each length.

GK = 24, HJ = 10, And GH = HI = IJ. Find Each Length.

Answers

Answer 1

Greetings from Brasil....

Let us call X the equal distances GH = HI = IJ

GH = X

HI = X

IJ = X

Note that HJ = HI + IJ, so

HJ = X + X

10 = 2X

X = 5

Looking at the figure we can conclude that:

GJ + JK = GK

GJ = GH + HI + IJ

GJ = 15

GJ + JK = GK

15 + JK = 24

JK = 9

GH = X = 5HI = X = 5IJ = X = 5JK = 9
GK = 24, HJ = 10, And GH = HI = IJ. Find Each Length.
Answer 2

Each length of the line segments GH = HI = IK and JK will be 5 and 9.

What is a line segment?

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

GK = 24, HJ = 10, and GH = HI = IJ.

Then the length HI will be

HJ = HI + IJ

10 = HI + HI

2HI = 10

HI = 5

Then the length of the line segments GH, HI, and IJ will be

GH = HI = IJ = 5

The length of the JK will be

GK = GJ + JK

24 = 3GH + JK

24 = 3 * 5 + JK

JK = 24 - 15

JK = 9

Then each length of the line segments GH = HI = IK and JK will be 5 and 9.

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Related Questions

Solve for x in the diagram below.

Answers

Answer:

77

Step-by-step explanation:

why because 100+3=103

and this is half a circle so the answer is 180-103 that is 77

Answer:

x = 20°

Step-by-step explanation:

From the question it can be seen that all the angles lie on a straight line and

Angles on a straight line add up to 180°

To solve for x add up all the angles and equate them to 180°

That's

x + 3x + 100 = 180

4x + 100 = 180

Subtract 100 from both sides

4x + 100 - 100 = 180 - 100

4x = 80

Divide both sides by 4

We have

[tex] \frac{4x}{4} = \frac{80}{4} [/tex]

We have the final answer as

x = 20°

Hope this helps you

4.78 gallons of milk is sold for $11.00. If you want to buy 9.58 gallons of milk, how
much will you have to pay?

Answers

Answer:

You will have to pay $22.05.

Step-by-step explanation:

We can solve this problem by making a proportion:

4.78 gallons/11 dollars = 9.58 gallons/x dollars

By cross-multiplying, we can solve for x:

4.78x = 105.38

x = 22.05

Jonus watches the second hand on an analog clock as it moves past the numbers. What is the
probability that at any given time the second hand on a clock is between the 2- and the 3-hour numbers?

Answers

Answer:1/12 or 8.3

Step-by-step explanation:

Andrea, Beth, & Cathy's ages are consecutive whole numbers. Andrea is the youngest, and Cathy is the oldest. The sum of their ages is 54. How old is Cathy?

Answers

Answer:

Age of Cathy = 19

Step-by-step explanation:

Find:

Sum of their ages = 54

Assume;

Age of Andrea = x

Age of Beth = x + 1

Age of Cathy = x + 2

Sum of their ages = x + x + 1 + x + 2

54 = 3 x + 3

3 x = 51

x = 17

Age of Cathy = x + 2

Age of Cathy = 17 + 2

Age of Cathy = 19

Julie goes to the park across the street from her house several times a day and jogs a total of six miles every day. She jogs three-fourths of a mile at a time. What is the divisor?

Answers

Answer:

The Divisor is 6 miles

Step-by-step explanation:

A Divisor is also defined as a number by which a another number called dividend is divided by with or without having a remainder.

Divisor ÷ Dividend = Quotient

We are told that Julie goes to the park and jogs a total of six miles every day. She jogs three-fourths of a mile at a time.

In 1 day = 6 miles

Spread throughout the day, or per time , Jules jogs 3/4 of a mile

To find out how many times she jogs in a day, 6 miles will be divided by 3/4

Divisor ÷ Dividend = Quotient

= 6 ÷ 3/4

= 8 times in a day.

Looking at the above, calculation, 6 miles is the Divisor.

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ​

Answers

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Selena and Drake are evaluating the expression (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1, when r = negative 1 and s = negative 2.


Selena’s Work
Drake’s Work

(StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1 Baseline = (r Superscript negative 1 Baseline s) Superscript negative 1 Baseline = StartFraction r Over s EndFraction = StartFraction negative 1 Over negative 2 EndFraction = one-half

(StartFraction (negative 1) (negative 2) Superscript negative 2 Baseline Over (negative 1) squared (negative 2) Superscript negative 3 EndFraction) Superscript negative 1 = (StartFraction (negative 1) (negative 2) cubed Over (negative 1) squared (negative 2) squared EndFraction) Superscript negative 1 = (StartFraction negative 8 Over 4 Endfraction) Superscript negative 1 Baseline = StartFraction 4 Over negative 8 EndFraction = negative one-half


Who is correct and why?
Selena is incorrect because she should have substituted the values for the variables first, and then simplifed.
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
Drake is incorrect because he should have simplified first, before substituting the values for the variables.
Drake is correct because he substituted the values for the variables first, and simplified correctly

Answers

Answer:

Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.

Step-by-step explanation:

PLEASE HELP. FIRST (CORRECT) ANSWER GETS BRAINLIEST

Simplify the expression

12 - 4 x 3 / 7 + 13 x 15

Answers

Answer:

the answer is 240 multiply and divide

Answer:240

Step-by-step explanation:

Use the order of operations. (PEMDAS)

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

Hope this helped dude

What is the value of |-12| ?

Answers

Answer:

12

Step-by-step explanation:

the absolute value of any negative number is the number in positive form.

Answer:

Hello!

The value would 12 cause it is the absolute value

For example:

If the is negative 12 the absolute value would be the opposite, so it would be positive 12.

But if it was

|12| then it would stay the same

Hope this helps!

-Fishylikeswater

How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800

Answers

Answer:100/400

Step-by-step explanation:

The answer is 10 calories per minute, will tai burn in 1 minute while biking.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

We do not have much information to go on such as the speed that Tai is biking or his/her weight.

Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.

Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.

Therefore we can assume that Tai is burning roughly 10 calories per minute.

his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

To learn more on division click:

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complete question:

How many calories will tai burn in 1 minute while biking? Enter the answer in the box.

the library is having a fall festival to raise money ashley spend 3.60 on popcorn 0.75on a drink and 5.00 to ride the ferris wheel how much money did ashley spend at the fall festival

Answers

Answer:

$9.35

Step-by-step explanation:

To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.

Popcorn $3.60

Drink       $0.75

Ride        $5.00

Total Cost $9.35

I hope this helps!

-TheBusinessMan

Answer:$9.35

Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35

2*3 help needed help ASAP

Answers

Answer:

6

Step-by-step explanation:

Multiply 2*3

you have two groups and you put 3 people in them you get 6 people in total

Find the distance between the two points. (5,-3) (-4,7)

Answers

Answer:

-9.4

Step-by-step explanation:

19. What is 0.00375 expressed in scientific
notation?
A. 3.75x10-3
B. 3.75x10-2
C. 3.75x102
D. 3.75x10

Answers

Answer:

answer is A 3.75x10^-3

Brainliest for the correct answer

Answers

Answer:

Hey there!

w-99=119

w=218

x/3=103

x=309

y/2=146

y=292

Let me know if this helps :)

Simplify the expression: y2 * y2

Answers

Answer:

[tex]y^4[/tex]

Step-by-step explanation:

[tex]y^2*y^2[/tex]

Let's multiply the 2 by the other 2.

[tex]2*2=4[/tex]

Let's combine it all together

[tex]2*2\\y[/tex]

Since we already know that [tex]2*2[/tex] is [tex]4[/tex] , we add it to the y.

[tex]y^4[/tex]

Hope this helps!

Find the product. −2 (3.1) lol another

Answers

Answer:

-6.2

Step-by-step explanation:

multiply -2 times 3.1

Answer:

-6.2

Step-by-step explanation:

Mr. Bell drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?

Answers

Answer: 250 miles

Step-by-step explanation: 440/8 = 50

50 x 5 =  250

Where do most living things get the energy they need for life?
either from air or food
either from sunlight or air
either from food or sunlight either from air or water

Answers

Answer:

From air,water and also food

Answer:

C

Step-by-step explanation:

You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to your local school. You then give half of your remaining books away to charity. You end with 8 books left. How many books did you start with?

Answers

Answer:

10 :)

Step-by-step explanation:

(3x - 14) / 2 = 8

3x - 14 = 16

3x = 30

x = 10

Solve the distance from point A to point B. Round you answer to the nearest tenth. A(5,4) and B(-4,-3)

Answers

Answer:

           11.4

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4[/tex]

Move. After the origin, (0,0), set the equation of EF is y=x. no record the coordinates of the vertices of a polygon ABCD. what are the coordinates of the vertices of the reflected polygon AefBefCefDef where EF is the line of reflection? enter the coordinates on the table

Answers

Answer:

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

Step-by-step explanation:

Plato sample

We have wrote the coordinates.

What is an Expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

How to solve it?

We have

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

Learn more about the expression:

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Answer:
5. A shop sells a bicycle for N$ 1 730.25, make a profit of 5%. At what wholesale price did
the shop buy the bicycle?
Answer:​

Answers

Answer:

$1643.74

Step-by-step explanation:

The seller sell at $1730.25, makes 5%

Profit made = $1730.25*5% = $86.51

Hence, the wholesales price = Sales price - Profit made

Wholesales price = $1730.25 - $86.51

Wholesales price = $1643.74

BIG IDEAS MATH

Chapter2-Section2
i
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x) = -x+1.
g(x) =
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Answers

Answer:

f(x) = -x+1

to find x-intercept/zero substitute f(x)=0.

0=-x+1

0=-x+1  move variable to the left-hand side and change its sign.

x=1

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Answers

The answer is 64 because you multiply 2*2*2*2*2*2.

Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. What is the missing reason in the proof?given transitive property alternate interior angles theorem converse alternate interior angles theorem

Answers

Answer:

yeah its parrellell

Step-by-step explanation:

If the temperature starts out in the morning at 12° C but drops 18° by midnight, what is
the new temperature then?
(when they temperature drops, does it get colder or warmer?)

Answers

Answer:

it gets colder and it would be -6

Step-by-step explanation:

i hope

Question 3 Evaluate the expression if x = 5 and y = 2 10 + 3x + 5y​

Answers

Answer:

Sooo...

Step-by-step explanation:

1+2=7

Simple really.

If the student’s GPA is 3.384 how many credits is physics

Answers

Answer:

Let x = number of additional credits the student needs to get 4.0 GPA on. 52 credits with a GPA of 2.8 means a total of 52 * 2.8 = 145.6 145.6+4x52+x=3.2 Solve the equation for x

Step-by-step explanation:

Because i said so

What is the Solution

Answers

Answer:

16x=1 x=1/16 or 0.0625

2/5x=1 x=5/2 or 2.5

Step-by-step explanation:

for 16x=1 divide both sides by 16, 1 divided by 16 is 1/16 or 0.0625

for 2/5x=1 multiply by the reciprocal of 2/5 which is 5/2. 5/2 times 1 is just 5/2 or 2.5.

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