H and J are both between G and K such that GH = JK and H is between G and J.
Given: GH=x+10
HJ=8
JK=2x-4
Find GJ.
GJ=

Answers

Answer 1

Answer:

32

Step-by-step explanation:

So the order of the points is: GHJK

GH = x+10 =JK

HJ=8

JK=2x-4

JK = x+10=2x-4

x+10=2x-4

10+4=2x-x

x=14

GH= 14+10 =24

GJ = GH +HJ = 24+ 8=32


Related Questions

the perimeter of a rectangle is 120 feet. the width of the rectangle.​

Answers

Do you have a picture of the question?

1a. What is the 1st step?
1. 3V x + 2 = 12
Choose

Answers

Answer:

Subtract 2 from each side

Step-by-step explanation:

3x + 2 = 12

Subtract 2 from each side

3x+2-2 =12-2

3x = 10

please van you work out 5/6 of 54

Answers

Answer:

45

Step-by-step explanation:

1/6 of 54= 9

9*5=45

area of a 158 degree sector

Answers

what’s the question asking?

An equilateral triangle is always/sometimes/never similar to a scalene triangle, because we can always/sometimes/never map one onto the other using only dilations and rigid transformations.

Answers

Answer:

The answer is "never".

Step-by-step explanation:

The triangle isn't equilateral to the scalene, because it has the equilateral triangle that has all similarities as well as the angles steps.It also the face of the scalene triangle is different and the sides are not always the same.

The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find their present age

Answers

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Let's form some equations:

I'll refer to Joyal's age as 'x'

Therefore, his mother's age is '3x'

Here is the equation we create:

x + 5 + 3x + 5 = 66

Simplify this:

4x + 10 = 66

- 10 from both sides:

4x = 56

/4 on both sides

x = 14

3(14) = 42

So, currently Joyal is 14 and his mother is 42

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Three investors own a company. One partner owns 1/4 of the company, while the second partner owns 2/5 of the company. How
much does the third partner own?

Answers

Answer:

7/20

Step-by-step explanation:

you find the least common denominator then you add them which gives you 13/20 then you subtract 20/20 minus 13/20 which gives you 7/20

have a meh day

Answer:

[tex]\frac{7}{20}[/tex]

Step-by-step explanation:

First, add the shares of the first two investors

[tex]\frac{1}{4} +\frac{2}{5} = \frac{13}{20}[/tex]

Then, you subtract that from the total shares of the company, which is 1

[tex]1 - \frac{13}{20} = \frac{7}{20}[/tex]

what is the greatest common factor for 9m+ 27m²

Answers

Answer:

9m

Step-by-step explanation:

Both of them are divisible by 9 and 1 m

When you factor and pull out 9m, you will get

9m (1 + 3m)

the greatest common factor for 9m and 27 m is 9

LAST QUESTION with picture pls help

Answers

Answer:

2.57 cm

Step-by-step explanation:

sides of full frame with photo:

2x+16 and 2x+10

Area A= (2x+16)(2x+10)

Area of photo alone P= 16*10

As per question: A=2P

(2x+16)(2x+10)= 2*16*104(x+8)(x+5)=2*2*8*10x²+13x+40=80x²+13x-40=0solving this we get x= 2.57 cm

Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of the design below?

Answers

Answer: (A) [tex]12+12\sqrt{12}[/tex] .

Step-by-step explanation:

Perimter is the sum of the all sides of a figure.

As the given design has three exactly same or identical triangles with side-lengths [tex]2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in[/tex] joined by ending vertices.

Then, the combined operimetr of thge design would be :

3 x (Perimeter of the one triangle)

For this , Perimeter of one triangle = [tex]2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in[/tex]

Now , the combined operimetr of thge design would be :

[tex]3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in[/tex]  or   [tex]12+12\sqrt{12}\ in[/tex]

Hence, the correct option is (A) [tex]12+12\sqrt{12}[/tex] .

Answer:

it is a

Step-by-step explanation:


(a) The marked price of a radio is Rs. 6,000. After giving a certain percent of dis-
count and leaving 10% VAT, its price becomes Rs. 5,610. What is the discount
percent ?​

Answers

Answer:

6.5%

Step-by-step explanation:

M.P= ₹6,000

Amount excluding VAT= 5,610

discount= x/100

discount= 6000*x/100=60x

equating

6000-60x= 5610

6000-5610=60x

390=60x

390/60=x

6.5=x

therefore, there is a discount of  6.5%

6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.

Answers

Answer:

[tex]45.4 cm^2[/tex]

Step-by-step explanation:

The area of the sector of a circle is given as:

[tex]\frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of the sector

r = radius

The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:

A = [tex]160/360 * \pi * 5.7^2[/tex]

A = [tex]45.4 cm^2[/tex]

can someone work this out ?

Answers

Answer:

297cm^3π

Step-by-step explanation:

R is a radius of the base of a cone, and r of top surface radius.

V=(1/3)×π×depth×(r^2+r×R+R^2)

V=(1/3)×π×3cm×(3^2+3×4.5×4.5^2)

V=(1/3)×π×3cm×(9cm^2+3cm×4.5cm×20.25cm^2)

V=(1/3)×π×3cm×(12cm^2×24.75cm^2)

V=(1/3)×π×3cm×(297cm^4)

V=(1/3)×π×891cm^3

V=(891cm^3/3)π

V=297cm^3π

hope it help yuh

plz mark brianliest if its correct

please help me, maths is hard, and at the moment i wish maths wasn't real. brainliest will be given

Answers

Answer:

£60

Step-by-step explanation:

Let [tex]x[/tex] be the original price.

[tex]x \times (1-10/100) = 54[/tex]

[tex]x \times 90/100 = 54[/tex]

[tex]0.9x=54[/tex]

[tex]x=54/0.9[/tex]

[tex]x=60[/tex]

help me i need it ASAP

Answers

Answer:

m = 13

Step-by-step explanation:

To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.

1. 7m = 91

2. (7m)/7 = 91/7

3. m = 13

Hope this helps! (Please consider giving brainliest)

What are the two solutions of 2x^2 = -X^2 - 5x - 1?
A. the y-coordinates of the intersection points of the graphs of y = 2x^2 and y = x^2 – 5x - 1
B. the x-coordinates of the x-intercepts of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
C. the x-coordinates of the intersection points of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
D. the y-coordinates of the y-intercepts of the graphs of y = 2x^2 and y = -x^2–5x - 1

Answers

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

Answer:

C: the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1

Step-by-step explanation:

I got it right on Edg. 2020

Please help, i actually don't know.

Answers

Answer:

the X axis

Step-by-step explanation: The independent variable belongs on the horizontal x-axis, and the dependent variable belongs on the vertical y-axis.

Answer:

The y-axis.

Step-by-step explanation:

In this case, the number of packs of pencils determines the number of pencils you have. Remember that the x-axis is the independent variable and y-axis is the dependent variable.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Two drivers moving in opposite directions on an 18-mile circular racetrack cross each other at a certain point. If one of them has an average speed of 1.2 miles per minute and the other has an average speed of 1.8 miles per minute, how many minutes will it take for them to cross each other again?

Answers

Answer:

They both would cross each other again in the next 5 minutes

Step-by-step explanation:

The first thing to do here is to calculate the lowest common multiple of the average speed of both drivers.

That would be the lowest common multiple of 1.2 miles per minute and 1.8 miles per minute.

That would be 3.6 miles per minute.

Now to get the time at which they would cross each other again, we simply divide the total distance around the circular track by the lowest common multiple of their average speed.

That would be 18/3.6 = 5

This means they would cross each other again in the next 5 minutes

15 points! Please help me with this question

Answers

Answer:

48 f t

Step-by-step explanation:

Please help me on this question

Answers

Answer:

Is answer is option B

Answer:

B

Step-by-step explanation:

Given the 2 equations

x - 2y = 3 → (1)

2x - 3y = 9 → (2)

Multiplying (1) by - 2 and adding to (2) eliminates the term in x

- 2x + 4y = - 6 → (3)

Add (2) and (3) term by term to eliminate x, that is

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(3) = 3

x - 6 = 3 ( add 6 to both sides )

x = 9

Solution is (9, 3 ) → B

Which of the following are not a perfect cube ? 6859 , 10648 , 1728

Answers

Answer:

6859 is not perfect cube.

Step-by-step explanation:

First we will find all factors under the cube root: 6859 has the cube factor of 361. Let's check this width ∛361*1=∛6859. As you can see the radicals are not in their simplest form. Now extract and take out the cube root ∛361 * ∛1. Cube of ∛361=19 which results into 19∛1 All radicals are now simplified.

 hope it helps

Please Help !!! MATHS GCSE DATA HANDLING QUESTION. thanks xx

Answers

Answer:

A) 29men

B) 91cm

C) 13cm

Step-by-step explanation:

Men with waist of 85cm = 11

A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men

B.) median waist :

Median = (n) / 2

Where n = number of observations

Median = (40) / 2 = 40/2 = 20th

Taking the intersection of the 20th point on the x-axis,

Median waist = 91cm

C.) Interquartile range(IQR) = (Q3 - Q1)

Q3 = 3/4(n)

Q3 = 0.75 × 40 = 30

Q3 = 97cm

Q1 = 1/4(n)

Q1 = 0.25 × 40 = 10

Q1 = 84cm

IQR = 97 - 84 = 13cm

The cost per month is a good way to compare different modes of transportation. True False Please help and fast. I am in need of desperate help!!!!

Answers

Answer:

False

Step-by-step explanation:

Cost is not a complete ways to compare different modes.  We also need to look at the time of each mode of transportation.  Walking is very cheap  (the cost of shoes and water)  but would take a very long time.  We would also have to look at the convenience factor.  The bus may be cheap but it may not run when and where you need it.

It is, that would be true

WILL MARK BRAINLIEST!!! Your friend states that for functions of the form y = a sin bx and y = a cos bx, the values of a and b affect the x-intercepts of the graph of the function. Is your friend correct? Explain

Answers

Answer:

The sine function won't be affected, but the consine function will.

Step-by-step explanation:

First of all, remember that [tex]sin(0)=0[/tex] and [tex]cos(0)=1[/tex]. As you can see, the sine function won't be affect by [tex]a[/tex], because its value is null.

However, the x-intercept of the cosine function depends on the [tex]a[/tex] value, because the function is equal to the unit.

On the other hand, the variable [tex]b[/tex] won't affect any function, because it would be always zero.

Therefore, the sine function won't be affected, but the consine function will.

Which pair of underfined terms is used to define a ray

Answers

Answer:

point and line

Step-by-step explanation:

Again PLEASE ANSWER

You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length of 12 m with a height of 4 m. The triangle has a base of 12 m with a height of 5 m. Calculate both the area and perimeter of this patio.

Answers

Answer:

perimeter is 35.6 area is 108

Step-by-step explanation:

it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base [tex]6^{2} +5x^{2} =[/tex]61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60

the whole perimeter if 15.6+20=35.6 the area is 60+48=108

Answer:

50 m squared

Step-by-step explanation:

You have to solve for the areas and then add

WILL GIVE BRAINLIEST IF CORRECT!!! Pic included

Answers

Answer:

D. both functions are increasing but g increases at a faster rate

Step-by-step explanation:

if you compare points of f(x) and g(x)

g(x) is:

(-1,-52)

( 0, -16)

(1, -4)

(2,0)

If you plot the points f(x) is above then equal and  then below g(x)

What is the value of 3-(-2)?

Answers

Answer:

5

Step-by-step explanation:

3 - (-2)

Subtracting a negative is like adding

3+2

5

The answer is 5. It’s just when two negative stuff go together it’s positive

can someon help me with this?

Answers

Answer:

5^-2 ^2

and 5^2 * 5^-6

Step-by-step explanation:

There are 4 (1/5)'s multiplied together so

(1/5) ^4 = 1^4 / 5^4 = 5^-4

and

we know that 5^-2 ^2 = 5^(2*-2) = 5^-4

and 5^2 * 5^-6 = 5^(2-6) = 5^4

Answer:

A and D

Step-by-step explanation:

[tex](5^{-2})^{2}=5^{-2*2}=5^{-4}=1/{5^{4}}\\\\5^2*5^{-6}=5^{-6+2}=5^{-4}=1/{5^{4}}[/tex]

Express 25 as a percentage of 75. *

4 points

A. 300%

B. 100%

C. 50%

D. 33.3%

Answers

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25 is 1/3 of 75

You can calculate it this way:

(25/75) x 100 = 33.3333

Thus, your answer would be option D

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Answer:

D.

Step-by-step explanation:

First make it as a fraction:

[tex]\frac{25}{75}=\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] = 33.3333...%

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