Find values of x, HJ, and JK.​

Find Values Of X, HJ, And JK.

Answers

Answer 1

Answer:

x = 2, HJ = JK = 11

Step-by-step explanation:

Given that H is the midpoint of JK , then

HJ = JK = 6x - 1 and

HJ + JK = JK , that is

6x - 1 + 6x - 1 = 3x + 16 ← simplify left side

12x - 2 = 3x + 16 ( subtract 3x from both sides )

9x - 2 = 16 ( add 2 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Then

HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11


Related Questions


Find the measure of C to the nearest degree.

Answers

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

[tex]\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]

[tex]\implies \sf{Sin\theta = \dfrac{7}{11}}[/tex]

[tex]\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}[/tex]

[tex]\implies \sf{\theta = 39.52^{\circ}}[/tex]

Answer : The measure of ∠C to the nearest degree is 38°

What is the 100th term of the sequence with a1=222 and d=-5

Answers

Answer:

--273

Step-by-step explanation:

100th term is equal a1 + 99d so

100th term = 222 + (-5×99) = -273

find two consecutive whole numbers

Answers

Answer:

9 and 10

Step-by-step explanation:

square root of 86 is 9.2 (ish)

A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball

Answers

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

The radius of the ball is 4 cm.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get

[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]

[tex]V=267.946667[/tex]

[tex]V\approx 267.95[/tex]

Therefore, the volume of the ball is about 267.95.

PLEASE HELP RN!! if any of you guys see this please help

Answers

Answer: A.46

Step-by-step explanation: because it jus is dawg

what is a three digit number for 100,10,1

Answers

Answer:

111

hope that helps!

Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes

Answers

C. Typing 210 words in 5 minutes.

Explanation:
42 words per minute is equivalent to 210 words in minutes:

Write the 42 wpm and 210 words in 5 mins as a ratio:
42 : 1 and 210 : 5

Multiply both sides in the ratio 42 : 1 by 5:
42 x 5 = 210
1 x 5 = 5
= 210 : 5

Therefore 210 words in 5 mins is an example of the unit rate 42 wom because it is equivalent.

Hope this helps!
-SpaceMarsh
(Brainliest pls, tysm!)

De un total de 40 alumnos, a 36 les gusta ir al cine. ¿Cuál es el porcentaje de alumnos a los que les gusta ir al cine?

Answers

Answer:

o amar kotay 你最喜歡的動漫,我很抱歉成為你的問題,但你給了你 50 ru 複製你的業務和不歸還的總和,但你給了你我應該有第二個的 y 軸是

The percentage of students who like to go to the movies is 90%.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that of a total of 40 students, 36 like to go to the movies

We can write the percentage of students who like to go to the movies as follows -

{x}% = (36/40) x 100

{x}% = (9/10) x 100

{x}% = 90

Therefore, the percentage of students who like to go to the movies is 90%.

To solve more questions on percentage, visit the link below -

brainly.com/question/24159063

#SPJ2

{

Question in English is given as follows -

Of a total of 40 students, 36 like to go to the movies. What is the percentage of students who like to go to the movies?

}

Which of the following terms can be combined in this expression?

13 minus x over 5 + 6.2 y + 20.5 x minus 3 over 8 y

Negative 13 can be combined with 20.5.

6.2 y can be combined with 20.5 x.

6.2 y can be combined with Negative 3 over 8 y.

Negative x over 5 can be combined with Negative 3 over 8 y.

Answers

Given:

Consider the expression is:

[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]

To find:

The like terms that can be combined in this expression.

Solution:

Two terms are called like terms, if they have same variables of same degree.

We have,

[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]

In the given expression, the pairs of likes terms are:

Pair 1: [tex]-\dfrac{x}{5}[/tex] and [tex]20.5x[/tex]

Pair 2: [tex]6.2y[/tex] and [tex]-\dfrac{3}{8}y[/tex]

It means [tex]-\dfrac{x}{5}[/tex] can be combined with [tex]20.5x[/tex] and  [tex]6.2y[/tex] can be combined with [tex]-\dfrac{3}{8}y[/tex].

Therefore, the correct option is C.

David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?


HELP ASAP PLEASEEEEE!!!

Answers

Answer:

16 pennies

Step-by-step explanation:

74 - 18 = 56

56 / 7 = 8

1/7 of the pennies is 8 pennies.

2/7 of the pennies are 16 pennies.

Answer:

18 pennies

Step-by-step explanation:

74-18=56

56/7=8

8x2=16

Fill in the blank: 9(4x + 5) = 36x +

Answers

Answer:

45

Step-by-step explanation:

9(4x + 5)

9*4x + 9*5

36x + 45

Answer:

45

Step-by-step explanation:

9*4x +9*5

= 36x + 45

Bye

:-)

plzz help i only have like 5 minssssss


What is the volume of this rectangular prism if an edge of each cube is 1 cm?

Answers

Answer:

your answer is D. 24 cubic cm

Step-by-step explanation:

your welcome good day :)

D 24. explanation; It’s is i did

Triangle X W Y is shown. The length of side X W is 5. The length of side W Y is 11. The length of Y X is 7. What is the order of the angles from largest to smallest? Angle W, Angle X, Angle Y Angle X, Angle W, Angle Y Angle X, Angle Y, Angle W Angle Y, Angle W, Angle X

Answers

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY >  YX > XW

∠X   > ∠W > ∠Y

Answer:

angle X, angle W, and angle Y

Step-by-step explanation:

got it right on edge

share 747 in the ratio 2:7 between Tom and Ben

Answers

Answer:

tom = 166, ben = 581

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

therefore 1 part = 83

83 x 2 = 166

83 x 7 = 581

tom has 2 parts so he has 166

ben has 7 parts so he has 581

Answer:

Tom has 166.

Ben has 581.

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

83 × 2 = 166

83 × 7 = 581

Can you do it thank for answer

Answers

Answer:

Step-by-step explanation:

a) 5  > 4 +x

4 + x < 5

Subtract 4 from both sides

x < 5 - 4

x < 1

b) 2 ≤ 6c + 14

6c + 14 ≥ 2

Subtract 14 from both sides

6x ≥ 2 - 14

6x ≥ - 12

Divide both sides by 6

x ≥ -12/6

x ≥ -2

c)  -4 > 2b

2b < - 4

Divide both sides by 2

b < -4/2

b < -2

d)

[tex]7 \leq \frac{a}{3}[/tex]

[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]

Answer:

Below.

Step-by-step explanation:

(a). 5 > 4 + x

4 + x < 5      (Note that the sign is flipped)

x < 5 - 4

x < 1.

(b) and (c) are solved in the same way.

(d)  7 <= a/3

a/3 >= 7

Multiply both sides by 3

a >= 21.

(e) - as above.

(f) 6 >= 3(p + 2) - 11

3(p+2) - 11 <= 6

3p + 6 - 11 <= 6

3p - 5 <= 6

3p <= 6 + 5

3p <= 11

p <= 11/3.

what is the angle of ABF?

Answers

Answer:  125

========================================

Explanation:

Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.

Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.

Since angle 3 is 55 degrees,  angle 1 is also 55 degrees.

--------------

Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)

In other words,

(angle ABJ) + (angle ABF) = 180

angle ABF = 180 - (angle ABJ)

angle ABF = 180 - (angle 1)

angle ABF = 180 - (55)

angle ABF = 125 degrees

Which parallelograms have perpendicular diagonals

Answers

Answer: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.

[tex]-a-\frac{7}{8} a[/tex]
paso a paso

Answers

Step-by-step explanation:

-a-7a/8

-8a-7a/8

-15a/8

Hope it helps you

Answer:

Step-by-step explanation:

WE have to find the least common denominator and it is 8

[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]

How many centimeters are there in 0.5 inches?

Answers

Answer:

1.27 centimeters

Step-by-step explanation:

brainliest??

What is the slope of the line with points of (0,-1)) and (2,3)

Answers

Answer:

2

Step-by-step explanation:4divided by 2 =2

Answer:

2

Step-by-step explanation:

[tex]x_{1}=0; y_{1}=-1\\\\x_{2}=2 ; y_{2}=3\\\\Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-[-1]}{2-0}\\\\=\frac{3+1}{2}\\\\=\frac{4}{2}\\\=2[/tex]

Helpppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

5^18

Step-by-step explanation:

since its a power to a power, you multiply so -6 x -3 = 18 so Answer = 5^18

the answer is 5^18
explanation:



find the value of x in |2x_5|+7=20​

Answers

Answer:

can you plz rewrite the question I want to help but I can't see it. you can even take a picture of the question.

help, with this question please. i’m not sure if anyone’s asked it yet.

Answers

are u taking a test Sir??

I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction

Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea

Answers

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The chocolate cookies is given as:

Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22

The lemon cookies is given as:

Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Help,anyone can help me do quetion.​

Answers

X=60 and Y=30
A quadrilateral with 2 parallel lines is a parallelogram which has equal angle to the opposite angle

Answer:

Step-by-step explanation:

angle y +60  = 180 degree (being adjacent angles of a trapezium )

angle y =180 - 60

angle y =120 degree

angle x+30 degree = 180 degree (being opposite angles of a trapezium)

angle x =180 - 30

angle x=150 degree

75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)

310 + y = 360

y = 360 - 310

y = 50 degree

19. Which of the following are examples of segments
from the figure?
BCD
D
CA
BAD
DA
AB
BD

Answers

Answer:

BCD

Step-by-step explanation:

You can easily find out by the points at the end of line. These points indicate that this is line segment.

Please help me, I don’t understand how I keep getting it wrong!

Answers

9514 1404 393

Answer:

  1.2 t/m³

Step-by-step explanation:

1 tonne is 1 Mg = 10⁶ g

1 m³ is (100 cm)³ = 10⁶ cm³

The conversion is ...

  (1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)

  = 1.2(10⁶)/(10⁶) t/m³

  = 1.2 t/m³

__

For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.

Take away the volume of 480 from the volume of 3240 What is the answer? [PLEASE I NEEEEEEDDDDD IT NOWWWWWWWW PLEASEEEEEE

Answers

Answer: 2760

Step-by-step explanation:

Please help it's urgent!Need help quick!

Answers

Answer:

Solution

Step-by-step explanation:

Hope this helped :)

Solution makes the most sense

The heights of 20-year-old females are normally distributed with a mean of 64 inches 
and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?

Answers

Answer:

1.5

Step-by-step explanation:

Applying,

Z = (x-μ)/σ................. Equation 1

Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.

From the question,

Given: x = 67 inches, μ = 64 inches, σ = 2 inches.

Substitute these values into equation 1

Z = (67-64)/2

Z = 3/2

Z = 1.5

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