find the length of the indicated triangle

Find The Length Of The Indicated Triangle

Answers

Answer 1

Answer:

[tex]35\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Side\ JK=(4x+19)\\Side\ KL=(9x-1)\\Now, By\ observing\ the\ triangle, we\ notice\ that\ \angle K = \angle L = \angle J.\\ Hence,\triangle JKL\ is\ an\ equilateral\ triangle\ as\ all\ its\ angles\ are\ equal.\\Hence,\\Another\ property\ of\ an\ equilateral\ triangle\ is\ its\ sides\ are\ equal\ too.\\Hence,\\Side\ JK= Side\ KL= Side\ JL\\Hence,\\By\ focusing\ only\ over\ the\ Sides\ JK\ and KL,\\(4x+19)=(9x-1)\\Hence,\\By\ solving\ the\ equation,\\4x+19=9x-1\\[/tex]

[tex]19+1=9x-4x\\By\ using\ the\ Symmetric\ Property\ Of\ Equation,\\9x-4x=19+1\\Hence,\\5x=20\\x=4\\Now,\\As\ KL=(9x-1)\\By\ substituting\ x=4\ in\ (9x-1) ,\\9*4-1\\=36-1\\=35[/tex]


Related Questions

Which graph represents a proportional relationship

Answers

Answer:

First One.

The first one is going up and the second one is going down. (Really don't know how to explain this I just looked at it and saw...)

Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Answer:

5 packs of sausages7 packs of rolls

Step-by-step explanation:

You need to find the common multiple.

5 x 7 = 35.

We know that before this there is no other common multiple becuase 7 does not multiply to a number that ends with a 0 or 5 until 35.

So, he will need to buy:

- 5 packs of sausages

- 7 packs of rolls

Answer:

7 packs of rolls

5 packs of sausages

Step-by-step explanation:

The easiest way to solve this question is to make a table with 3 columns

Rolls          5   10   15 20 25 30 35

Sausages  7    14   21 28 35 42 49

# packs    1    2    3    4   5    6  7

Looking at the table you can see that the first number that matches up is 35 so looking at that point we would need 7 packs of rolls and 5 packs of sausages.

Gayle made a


baby quilt using 24 equal squares. What


are the dimensions of 1 square? Describe


two different ways to find the answer.

Answers

Answer:

[tex]Measurement = 0.75ft[/tex]

Step-by-step explanation:

See attachment for complete question

Method 1:

Considering the width and length of the quilt

Given

[tex]Number\ of\ squares = 24[/tex]

Required

Determine the dimension of 1 square

The width of the quilt is 4.5ft and there are 6 squares in that dimension.

Each measurement is calculated as thus:

[tex]Measurement = \frac{4.5ft}{6}[/tex]

[tex]Measurement = 0.75ft[/tex]

Or

The length of the quilt is 3ft and there are 4 squares in that dimension.

Each measurement is calculated as thus:

[tex]Measurement = \frac{3ft}{4}[/tex]

[tex]Measurement = 0.75ft[/tex]

Method 2:

Calculate the area of the quilt.

[tex]Area = 4.5ft * 3ft[/tex]

[tex]Area = 13.5ft^2[/tex]

The area of 1 of the 24 squares is calculated by dividing the total area by number of squares

[tex]Area = \frac{13.5ft^2}{24}[/tex]

[tex]Area = 0.5625\ ft^2[/tex]

Represent the dimension of individual square with L

Area of a square is:

[tex]Area = L * L[/tex]

This gives:

[tex]L * L = 0.5625[/tex]

[tex]L^2 = 0.5625[/tex]

Take square root of both sides

[tex]L = \sqrt{0.5625[/tex]

[tex]L = 0.75ft[/tex]

Hence, the dimension of each square is 0.75ft

21 boys and 14 girls. What is the ratio of girls to boys in Ms. Hawthorne's class?

Answers

Answer:

14 to 21

Step-by-step explanation:

reverse of 21 to 14 = 14 to 21

What is the distance between (6,-3) and (6,-7)

Answers

Answer

4

Step-by-step explanation:

d²=(6-6)²+(-7+3)²

d²=16

[tex]\sqrt{16}[/tex]=4

James is making a math final for his students. He already has 22 questions, and can make 12 more for every hour. Which is an equation that represents how many questions (q) he has for every hour (h)?
a.q(h) = 12h
b.q(h) = 22h + 12
c. q(h) = 12h + 22
d.q(h) = 12h-22​

Answers

C, this is because the 22 questions are already created, plus the hourly rate james makes questions

What is the image point of (6,-4)(6,−4) after a translation left 4 units and down 5 units?

Answers

Answer:

(2,-9)

Step-by-step explanation:

6-4 = 2

-4-5 =9

so The answer is (2,-9)

plzzz helpppp!!!!!
How can you identify the solution to a system of inequalities?​

Answers

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

Light travels at a rate of approximately 186,000 miles per second. The North Star is approximately 460 light-years away from Earth. (A light-year is the distance light travels in one year.) How many yearswould it take a rockettraveling at 1 billion miles per hour to reach the North Star?

Answers

Answer:

0.0017 years

Step-by-step explanation:

Distance of North Star from Earth = 460 light years

A light year is the distance traveled by light in one year.

As per given statement:

Distance traveled by light in one second = 18600 miles

Distance traveled by light in one year ([tex]60 \times 60 \times 24\times 365[/tex]) = 18600 [tex]\times[/tex] 31536000 miles = 14506560000 = 14.51 [tex]\times[/tex] [tex]10^9[/tex] miles

We know that:

1 billion = [tex]10^9[/tex]

Therefore, 14.51 [tex]\times[/tex] [tex]10^9[/tex] miles = 14.51 billion miles

Also, it is given that speed of rocket = 1 billion miles per hour

Formula to represent relationship between Speed, Distance and Time is given as:

[tex]Distance = Speed \times Time[/tex]

[tex]Time = \dfrac{Distance}{Speed}[/tex]

[tex]Time =\dfrac{14.51\ billion\ miles}{1\ billion\ per\ hour}\\\Rightarrow Time = 14.51\ hours[/tex]

OR

0.0017 years

Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K’. Which rule could have been used to produce K’ from K?

Answers

Answer: B

Step-by-step explanation:

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

Mr. Richards a teacher at crosstown Elementary school, plans to take 25 students on a school trip. Here are some more facts about the trip: Only one bus is needed for the field trip, the bus company charges $6.50 per mile. The school will pay $300 for the trip, teachers go free, and each student pays the same amount. You will find the cost of this field trip. What is the final cost for all students to attend this field trip?

Answers

Incomplete question. The remaining part of the question reads;

Here are the places they could visit:

Big City Zoo> 36 miles from Crosstown; Entrance Fee: $2.5Prison Museum> 30 miles from Crosstown; Entrance Fee: $6.75Space Science> 10 miles from Crossword; Entrance Fee: $11.25

I calculated the cost of going to 'Big City Zoo and Space Science'.

Answer:

Big City Zoo = $3.86

Space science = $1.35

Step-by-step explanation:

For Big City Zoo:

Entrance fee: $2.5 x 25 = $62.5

Charges per mile: $6.5 x 36 = $234

Total cost of trip= $296.5

Final cost for all students to attend this field trip = $296.5 - $200 = $96.5. Meaning each student pays $3.86 (or $96.5/25 students).

For Space Science:

Entrance fee: $6.75 x 25 = $168.75

Charges per mile: $6.5 x 10 = $65

Total cost of trip= $233.75.

Final cost for all students to attend this field trip = $233.75 - $200 = $33.75. Meaning each student pays $1.35 (or $33.75/25 students).

An arborist examined trees in an orchard to see if they were infected with a virus. 21 out of 28 trees were infected with the virus. What percentage of the trees were infected?

Answers

Answer:

75%

Step-by-step explanation:

21/28 is the same as 75%

PLS HELP ASAP THIS IS EASY

Look at the trapezoid shown below. Which transformation carries the trapezoid onto itself ?

A) a reflection across the line y = 0

B) a rotation of 180 ° about the point (- 1, 0)

C) a rotation of 180 ° about the origin

D) a reflection across the line x = - 1

Answers

Answer: D

Step-by-step explanation: a reflection across the line x=-1

1 Find the area of the circle below: 4 cm​

Answers

Answer:

[tex]A = 16\pi[/tex]cm

Step-by-step explanation:

Area of a circle equation:

[tex]A = \pi r^2[/tex]

Plug in r = 4cm and solve:

[tex]A = 16\pi[/tex]cm

Answer:

ok so if its the radius:

50.27cm

if its the diameter:

12.57cm

Step-by-step explanation:

How do you find the equation of the circle given center at (1,-3), and radius 10?

Answers

Answer:

note: all the twos are to the power

100=(x−1)2(y+3)

Step-by-step explanation:

Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:

r2=x2+y2

The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at

(x,y)→(1,−3)

So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.

Thus we would have:

r2=(x−1)2+(y−(−3))2

r2=(x−1)2+(y+3)2

But the radius is 10 so we have

(10)2=(x−1)2+(y+3)2

100=(x−1)2+(y+3

A farmer has 12 acres of land. He plans to plant w acres of wheat and b acres of barley on his land. If he plans to plant wheat in no more than 3 acres of land, which system of inequalities represents the possible values for b and w ?

Answers

Answer: w+b>12. W>3

Step-by-step explanation: because the teacher tell me

An above ground pool with 17,100 gallons of water was draining. If the pool drained at a rate of 1,800 gallons per hour, how many hours has it
been draining if there was 6,300 gallons left?

Answers

Answer:

6 Hours

Step-by-step explanation:

17,100 - 6,300= 10,800

10,800/1,800 = 6


58°
(4x+10)°
Find the value of the variable in the isosceles trapezoid.

Answers

X=73 would be your answer

t/2 = 9? i need help

Answers

Answer:

18/2 =9

Step-by-step explanation:

T=18, look at the attachment for work

How many solutions does the equation 3x − 7 = 4 + 6 + 4x have?

Answers

Answer:

one solution

Answer: The given equation 3x − 7 = 4 + 6 + 4x has one solution.J

Step-by-step explanation:

Answer:

One solution (x=17).

Step-by-step explanation:

First, we combine like terms and numbers (if we can). This leaves us with the equation 3x - 7 = 10 + 4x. Now, we add 7 to both sides. Now, we have the equation 3x = 17 + 4x. Next, we subtract 4x from both sides. This gets us -1x=17. We can simplify that to -x=17. Now, we divide both sides by -1 to make -x positive. This gets us x=-17. That means there is only one solution. I hope this helps!

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?

choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble

Answers

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.

Answer:

c

Step-by-step explanation:

need of help please!!!
Michelle wants to start saving for a new car. She has $500 already saved and she plans to save an additional $50 per month.

What kind of pattern do we see in this scenario? She plans to save $50 each month. For each month that goes by.

Michelle will increase her total savings by $ ____

Answers

Answer:

I believe the pattern is linear and for each month that goes by she earns $50

For each month that goes by, Michelle will increase her total savings by $50

How to describe the pattern?

The given parameters are:

Initial balance = $500

Savings = $50 monthly

This means that at the end of every month, her savings increases by $50.

This kind of pattern is a linear pattern

Read more about linear pattern at;

https://brainly.com/question/2097266

#SPJ6

A garden table and a bench cost $804 combined. The garden table costs $54 more than the bench. What is the cost of the bench?

Answers

Answer:

its 750

Step-by-step explanation:

because its 804 combined and 804-54=750 and 750+54=804

750 I agree with the other person

HELP ASAP!!!
write the equation of the line that passes through
(2,-1) and has a slope of -4,

Answers

Answer:

y= -4x+7

Step-by-step explanation:

y-y1=m(x-x1)

y+1= -4(x-2)

y+1= -4x+8

y= -4x+7

Question 1
1. You must build a ramp with a rise of 15 inches to roll
some lab equipment into your school. If you follow the
ADA specifications, what is the horizontal length (the "run")
of the shortest ramp you can build? What is the ramp's
total length?

Answers

Could you explain better so I could understand

Find the sum of the first 47 terms of the following series, to the nearest integer.
13, 18, 23, ...

Answers

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]18-13=5,\:\quad \:23-18=5[/tex]

As the difference between all the adjacent terms is the same.

so

[tex]d=5[/tex]

[tex]a_1=13[/tex]

Arithmetic sequence sum formula

[tex]n\left(a_1+\frac{d\left(n-1\right)}{2}\right)[/tex]

Put the values

[tex]d=5[/tex]

[tex]a_1=13[/tex]

[tex]n=47[/tex]

[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]

[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]

[tex]=47\left(13+115\right)[/tex]

[tex]=47\cdot \:128[/tex]

[tex]=6016[/tex]

Thus, the sum of the first 47 terms of the given series = 6016

Which of the following systems of inequalities has point D as a solution?​

Answers

Answer:

The answer is A

Step-by-step explanation:

The blue turtle lays eggs that are
approximately spherical with an average
diameter of 3.6 centimeters. Each turtle
lays an average of 56 eggs at one time.
Find the total volume of these eggs, to
the nearest tenth cubic centimeter.

I’ll give brainliest if it right!
HELPPPPPPPPPPPPPPP

Answers

Answer:

A) 1366.4 cm

Step-by-step explanation:

As, volume of a sphere = 4/3 x pi x r^3

Radius= Diameter /2

R = 3.6/2 = 1.8

So,volume of 1 egg = 4/3 x 3.14 x 1.8^3

= 24.43 = volume

So volume of 56 such eggs = 24.43 x 56 = 1,366.4 cm^3

Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

It will take him 16 hours because 25 is 1/4 of 100% so 4 times 4 is 16. So 16 is your answer :)

Answer:

16 hours of total work time, 12 hours of work not including the original 4 hours

Step-by-step explanation:

25 percent is 1/4

To get to a whole, you need to do 4*4.

That is how many total hours of work time, -4 (the pre-existing 4) you get 12 of added time on top of the 4

answer quickly !!! Pls

Answers

Answer:

(6 × 5) + (6 × 3) = 6 × (5 + 3)

Step-by-step explanation:

Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.

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