If JK = 20, KL = x + 9, and JL = 6x + 9, what is KL?

Answers

Answer 1

[tex]\underset{\leftarrow ~~ 6x+9 ~~ \to }{J\stackrel{20}{\rule[0.35em]{15em}{0.25pt}} K\stackrel{x + 9}{\rule[0.35em]{10em}{0.25pt}} L} \\\\\\ \stackrel{JL}{6x+9}~~ = ~~\stackrel{JK}{20}+(\stackrel{KL}{x+9})\implies 6x+9=29+x\implies 5x+9=29 \\\\\\ 5x=20\implies x=\cfrac{20}{5}\implies x=4\hspace{5em}\boxed{\underset{KL}{\stackrel{(4)~~ + ~~9}{13}}}[/tex]


Related Questions

what is the anwer pls

Answers

Answer:

180 square yards

Step-by-step explanation:

there are 3 shapes that create the total area :

a large right-angled triangle to the right. its baseline is 16 yd. the left side is a bit complicated, we get to it.

a small middle rectangle with length 6 yd. it's width is 3 yd.

is area is 6×3 = 18 yd²

a large rectangle at the bottom left with length 11 yd and width 6yd.

its area is 11×6 = 66 yd²

now, how long is the left side of the triangle ? we need it as the height of the triangle to get the area

baseline × height / 2

we see that a part of the left side is 8 yd.

then the width of the middle rectangle is also a part of that left side : 3 yd.

and then we notice that the triangle goes a little bit below the top length side of the large rectangle. how much ? well the actual width of the large rectangle is 6 yd, but the side under the triangle says only 5 yd. so, the missing piece is 6-5 = 1 yd.

so, the full left side is

8 + 3 + 1 = 12 yd

and the area of the triangle is

16×12 / 2 = 16×6 = 96 yd²

so, the total area of the figure is

18 + 66 + 96 = 180 yd²

Two numbers are in the ratio 3 : 5. if each number is increased by 10, the ratio becomes 5 : 7.The numbers are .​

Answers

Let x be the number

Given 3x and 5x --------------- (i)

(3x+10)/(5x+10) = 5/7

On cross multiplication we get :-

21x + 70 = 25x + 50

On solving we get :-

4x = 20

x = 5

on substituting x in (i) we get 15 and 25.

A function is shown below.
f(x) = 8x - 11

What value of x makes f(x) = 21?

Answers

f(x)=8x-11
f(21)
x=21
f(21)=8(21)-11
f(21)=168-11
f(21)=157

The correct value in this function is f(21) = 157

This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.

– The given function being f(x) = 8x - 11, replace X by 21:

f(x) = 8x - 11

f(21) = 8 . 21 - 11

– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:

f(21) = 8 . 21 - 11

f(21) = 168 - 11

f(21) = 157

Therefore, the correct value of this function will be f(21) = 157

really need help with my aleks

Answers

Answer:

(4x -4)° +x° +(6x-3)° = 180°J = 99°K = 64°L = 17°

Step-by-step explanation:

The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."

__

equation

  (4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle

solution for x

  11x -7 = 180 . . . . . . . divide by °, collect terms

  11x = 187 . . . . . . . . add 7

  x = 17 . . . . . . . . . divide by 11

angle values

  m∠J = (6x -3)° = (6(17) -3)° = 99°

  m∠K = (4x -4)° = (4(17) -4)° = 64°

  m∠L == 17°

write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist. thank

Answers

The graph is showing the equation of circle x²+y²=4

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

To know more about circles follow

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Trey earned $23, $26, $25, $24, $23, $24, $6, $24, and $23 in tips working at a deli. Find the mean of the amounts of tips he earned.

Answers

Answer:22

Step-by-step explanation:

23 plus 26 plus 25 plus 24 plus 23 plus 24 plus 6 plus 24 plus 23= 198 so count how many numbers there are we had to add so its 198 divided by 9 gives you the answer  22

A cylinder has a radius of 11 cm. The height
is 9 cm. What is the volume of the cylinder?

Answers

Answer:

621.72

Step-by-step explanation:

The explanation is that the formula is V=2HπR

Multiply all of that and you get your answer of 621.72

A certain buffalo population increases by a factor of 1.2 each year. Of the following which best approximates the factor by which the population will increase over a ten year period?

Answers

The best approximation of the factor by which the population increases over a ten years period will be 6.19.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

A certain buffalo population increases by a factor of 1.2 each year.

Then the best approximation of the factor by which the population increases over a ten years period will be

→ 1.2¹⁰

→ 6.1917

→ 6.19

More about the exponent link is given below.

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covert this rational number to its decimal form and round to the nearest thousandth. 7/9​

Answers

Answer:

0.778 to the nearest thousandth.

Step-by-step explanation:

Dividing 7 by 9:    

9) 7.000000

   0.7777777 ....   <--    quotient

So it is 0.778 to the nearest thousandth.

Determine the volume of a cube with sides of 30mm

Answers

Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]

Step-by-step explanation:

[tex]30mm[/tex]

[tex]a=0.03m[/tex]

[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]

(the answer is also in the picture)

Answer:

V≈2.7×10^-5m³

Step-by-step explanation:

a=edge

Unit Conversion:

a=30mm/1000m

a=0.03m

Solution

V= a³= 0.03³

a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³

A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find Pared and blue) (1 point) 40 o 17 00 o SIAMO 0​

Answers

Answer:

5/(8+4+5) = 5/17

Step-by-step explanation:

total has (8 red +4 white+5 blue)= 17

we looking for blue , so is 5.

5/17

Help pls 85 points??

Answers

It's because most of them are the same measurements therefore are the same angles. 1 is just the name of the triangle and is based off their sides and measurements

Q) Rewrite these newspaper headline in PERCENTAGE?
1.There was a one in two chance that the goldfish would swin to left.

Answers

Answer:

There was a 50% chance that the goldfish would swim to the left

Step-by-step explanation:

Percentage means "amount in one hundred".

[tex]\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%[/tex]

Newspaper headline:

There was a 50% chance that the goldfish would swim to the left.

Anyone could help out with this

Answers

Answer:

C

Step-by-step explanation:

The answer is the orange one because pie * radius^2 leads to the area of the circl.e

please help asap giving brainiest and lots of points! this is an easy math/ engineering question if you dont know theres online calculators just pls help!

The initial velocity of a projectile is 57 m/sec, and the firing angle is 22°. Calculate the horizontal distance.
a 230 meters
b 330 meters
c 430 meters
d 130 meters

Answers

Answer:

a 230 metera 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

100% O De a
Becca surveyed the students at her school to find out which cellphone company they use. Her results are listed in the table.
Freshman Sophomore Junior Senior Total
Company A 27 34 24 18 103
Company B 10 15 43 42 110
Company 40 36 34 30 140
77 85 101 90 353
Total
What is the probability that a randomly chosen student is a junior who uses company B?
ОА.
43
353
OD
43
101
OB.
101
353
O E
-43
110
Ос.
110
353

Answers

Answer:

[tex] \frac{43}{110} [/tex]

Step-by-step explanation:

43 is the total amount of junior students

while 110 is the total amount of students who use Company B

and... in probability it's never more than one that's why it isn't

[tex] \frac{110}{43} [/tex]

Hope it helps

Are the following ratios equivalent? 5 cookies: 8 glasses of milk and 7 cookies: 9 glasses of milk.

Answers

Answer:

no

Step-by-step explanation:

Which is the value of the 4 in 5,138.204?

Answers

Answer:

thousandths

Step-by-step explanation:

For a scavenger hunt, Jim's mom distributed a bag of 520 jelly beans evenly into 20 plastic containers and hid them around theyard. If, after the hunt, Jim has a total of 182 jelly beans, then how many of the plastic containers did he find?
A. 338
B. 140
C. 9
D. 7

Answers

D. 7
Explanation:
First divide 520 and 20 to get the answer of 26.
Then, divide 182 and 26 to get 7.
I hope this helped!

find x.


An image of two parallel lines cut by a transversal. 8x-1 on top line and 3x-9 on bottom line . how do i get x

Answers

To solve this problem, we have to understand that the parallel lines cut will form two alternate angles which are equal to each other. The value of x is equal to -8/5

Alternate Angles

In the given question, we have two alternate angles fixed at opposite end to each other.

Data;

8x - 13x - 9

Since we've established that alternate angles are equal to each other, we can proceed to equate the two angles and solve for x

[tex]8x -1 = 3x - 9\\8x - 3x = - 9 + 1\\5x = - 8\\x =-\frac{-8}{5}[/tex]

The value of x is equal to -8/5

Learn more on alternate angles here;

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NEED HELP ASAP
The system has

One solution

Two solutions

No solution

An infinite number of solutions

Answers

Answer:

The answer is one solution because the graphs are together in one specific point.

Answer:

Two solutions

Step-by-step explanation:

Find the mean, median, mode, and range for the data set.
12, 46, 32, 18, 26, 41, 46
5890 108 134 115 221
7.3.16

Answers

Answer:

515.1

Step-by-step explanation:

easy

A ladder 20 m long rests against a vertical wall so that the foot of the ladder is 9 m from the wall. a Find, correct to the nearest degree, the angle that the ladder makes with the wall. b Find, correct to 1 d.p., the height above the ground at which the upper end of the ladder touches the wall.​

Answers

Answer:

(a) 27°

(b) 17.9m

Step-by-step explanation:

According to the attachment

let AB be the ladder

BC be the distance between the ladder and wall

(a) We have to find ∠A by trigonometry formula

[tex] \sf \sin A = \frac{perpendicular}{hypotenuse} [/tex]

Here angle A is facing BC so it is perpendicular

and AB is the longest side so it is hypotenuse

[tex] \sf \implies \sin A = \frac{BC}{AB} \\ \\ \\ \sf \implies \sin A = \frac{9}{20} \\ \\ \\ \sf \implies \sin A = 0.45 \\ \\ \\ \sf \implies \sin A = \sin27{ \degree} \\ \\ \\ \sf \purple {A = 27{ \degree}}[/tex]

(b)

AC is the distance from the upper end of the ladder to ground

we will find it by Pythagoras theorem

[tex] \sf {hypotenuse}^{2} = {perpendicular}^{2} + {base}^{2} \\ \\ \\ \sf \implies {AB}^{2} = {BC}^{2} + {AC}^{2} \\ \\ \\ \sf \implies {20}^{2} = {9}^{2} + {AC}^{2} \\ \\ \\ \sf \implies 400 = 81 + {AC}^{2} \\ \\ \\ \sf \implies 400 - 81 = {AC}^{2} \\ \\ \\ \sf \implies 319 = {AC}^{2} \\ \\ \\ \sf \implies \sqrt{319} = AC \\ \\ \\ \sf \blue{\implies 17.86 = AC}[/tex]

what is the answer??

Answers

Answer:

76 unit^2

Step-by-step explanation:

Total area: (0.5  * base * height) +( length * breadth ) + (0.5 * base * height)

= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76

The graph of y = cos x is transformed to the graph below. Which statement
about the graph is not correct?
QA. There is no phase shift.
OB. The period is pi.
OC. The amplitude is 2.
O. D. The midline is y = 1.5.
EIN
5

Answers

Answer:

d)The midline is y=1.5

Step-by-step explanation:

Because you can see in the graph that the midline is 1. So only c is no correct.

The amplitude is measured between the midline and the pik(highest or lowest value) of the function. This case is 2. True

The period is the distance between “equivalent” points. pi in this case. True.

The phase shift occur when the function is shifted on the x-axis. There is no phase shift. True.

If the number under the square root radical has no perfect souare
factors, then it cannot be simplified further.
TRUE
FALSE

Answers

Answer:

true

Step-by-step explanation:

Examples :

180 = 5 × 2² × 3²

Then

The number 180 has perfect square factors which are 2 and 3

Then

The number √180 can be simplified because:

[tex]\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}[/tex]

        [tex]=\sqrt{5\times \left( 2\times 3\right)^{2} }[/tex]

        [tex]=\sqrt{5\times \left( 6\right)^{2} }[/tex]

        [tex]=\sqrt{5} \times \sqrt{6^{2}}[/tex]

        [tex]=6\sqrt{5}[/tex]

On the other hand :

10 = 5 × 2

Then

The number 10 has no perfect square factors

Then

The number √10 cannot be simplified because:

[tex]\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}[/tex]

[tex]\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}[/tex]

From the triangle, find the missing length

Answers

I don’t see the triangle

determine the amplitude, b value, period, phase shift, and vertical shift for each function. y = 2 sin 3 (x + 3/2π)

Answers

Answer:

Amplitude:2

b value: pi/6 ± 2 pi/3

period: 2 pi /3

phase shift: 3/2 pi to the left

vertical shift: 0

Hope this helps!!!

Please mark me as brainliest!!!

P.S. I only need one more brainliest to get Virturoso

Jasmine had $120,000 last year.
This year she has $50,000.
What is the percentage
difference?
[?]%
(Round your answer to the nearest percent.)
Enter

Answers

Answer:

[tex] \approx58\%[/tex]

Step-by-step explanation:

Initial amount = $120,000

Final amount = $50,000

Difference in amount = 120,000 - 50,000 = $70,000

Difference percentage [tex]=\frac{70,000\times 100}{120,000}[/tex]

Difference percentage =58.33%

Difference percentage[tex] \approx58\%[/tex]

Which equation says that the area of the picture
itself is 700 in ²?

Answers

Answer:

See below

Step-by-step explanation:

(36 - 2x) * (17-2x) = 700      I think, given the info

4x^2 - 106x + 612 = 700     expanded....

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