In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

Answers

Answer 1

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer 2

Answer:

plz giv brainlist

Step-by-step explanation:


Related Questions

Julio says, "If you subtract 19 from my number and multiply the difference by - 7, the result is - 28." What is Julio's number?
Julio's number is

Answers

Answer:

23

Step-by-step explanation:

Basically I did it backwards & opposites:

-28 divided by -7 = 4

4 + 19 = 23

I checked btw and it worked.

what websites are similar to brainly?

Answers

Websites similar to Brainly: Quizlet and Socratic

Can I pls have brainliest :(

Answer:

Step-by-step explanation:

Rachel is building a doghouse. She needs to cut a 12-foot long board into lengths of 65 in.
3. How many lengths can she cut?

Answers

Answer:

2 cuts; yes, 14 in

Step-by-step explanation:

Look at it correctly and solve on paper

What are the steps on how to copy an angle? (Geometry)

Answers

Step-by-step explanation:

Make a point P that will be the vertex of the new angle.

From P, draw a ray PQ. ...

Place the compasses on point A, set to any convenient width.

Draw an arc across both sides of the angle, creating the points J and K as shown.

Hope this helps :)

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet


How much does one slice of pumpkin pie cost if there are 8 servings per pie?
Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:

Answers

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

$1.50 for the 15oz can of PumpkinWe know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.$1.25 for the 14oz can of evaporated milk.One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: https://brainly.com/question/20005135

Average ant weight 4x10^-3 grams. Ant population is 10,000 trillion (10,000,000,000,000,000). What is the total mass of all ants? Show work for mass of ants (grams):​

Answers

Answer:

The total mass is 4 * 10^12 grams

Step-by-step explanation:

To get the total mass of all ants,

We simply multiply the average mass of an ant by the population

That will be;

4 * 10^-3 * 10^15

= 4 * 10^12 grams

If x = -2, what is the value of y, that makes the equation, y = 2x + 3, true? Explain how you know.

Answers

Answer:

Y is equals to negative 1.

Step-by-step explanation:

y = 2x + 3

y =2(-2)+ 3

y =-4+ 3

y=-1

What is the solution to 2(x-4)=16

Answers

Answer:

x=12

Step-by-step explanation:

Don’t know answer help!!!

Answers

Answer:

Step-by-step explanation:

AA

what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5

Answers

Answer:

y=1/2x - 7

Step-by-step explanation:

Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.  

A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner

Answers

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24

Answers

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?

Answers

Answer:

the answer is -8

Step-by-step explanation:

this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8

Answer:

i got 8

Step-by-step explanation:

ur questions range on so many level, ngl

please help, my time is running out

Answers

Answer: 40 ?

Step-by-step explanation:

25 penalties decreased by 32% is __penalties.

Answers

If you decrease something by 32%, you are left with 68%

0.68(25) = 17
The answer is 8 becuase 25 time .32 becuase 32%=.32

A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).

Answers

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

A scale drawing of a rectangle park measures 6 inches long and 2 inches wide. If the scale used for the 3 inches equals 7 yards, what is the actual length of the park?

Answers

I’m so sorry for this

Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6

Answers

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal:  y=2/3x+2       -2x+3y=6

y=2/3x+2  Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

                     

The diameter of a circle is 11 in. Find its area to the nearest tenth.

Answers

Answer: 95.033

Step-by-step explanation:

In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches

Answers

Answer:

it is 9

Step-by-step explanation:

The value of WZ will be equal to WZ= 9 inches so the correct option is B.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.

The complete image of the triangle is attached with the answer below.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ5

Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct

Answers

Answer:

8 correct.

Step-by-step explanation:

80 / 100 = x / 40    (Since he got 80% INCORRECT you will subtract the value of x from 40)

100x = 80 x 40

x = 3200 / 100

x = 32

40 - 32 = 8

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

ANSWER RN IM GOING TO FAIL MY PRE-K TESTTTTT


What does definition mean???

Answers

Answer:

a statement of the exact meaning of a word, especially in a dictionary

what is the equation shown on this graph?​

Answers

Answer:

y=1

Step-by-step explanation:

there is no slope therefore dont place it. however there is a Y intercept.

A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel? Round to the nearest whole mile. *

Answers

Answer:

658.8 so 659

Step-by-step explanation:

37x+26=42x+6
someone please help me solve this step by step

Answers

Step-by-step explanation:

37x+26=42x+6

x=4

If am wrong sorry

Answer:

x = 4

Step-by-step explanation:

1. Subtract 26 on both equation. (37+26−26=42+6−26)

2. Simplify and Subtract the numbers and repeat. (37=42−20)

3. Subtract 42x on both equation. (37−42=42−20−42)

4. Put together (simplify). (−5=−20)

5. Now divided with -5x. ( −5/−5=−20/−5)

6. Get your answer! (=x4)

~~~Hope this helps~~~

What is 6.5% of 39.99?

Answers

39.99 * 0.065 = 2.599
It would be around 2.6

Write an equation in slope-intercept form of the line with slope −6/5 that contains the point (−5,3)

Answers

Answer:

y=-6/5x-3

Step-by-step explanation:

y-3=-6/5(x+5)

y=-6/5x-3

My Fav Football team what’s yours? Follow and Like

Answers

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Other Questions
05. In identifying risks to then manage and control, as the portfoliomanager you are consulting organizational process assets such as: 4. T _____(entender e-ie) un ensayo en la clase de ingls.5. Nosotros _____(empezar e-ie) estudiar el vocabulario de espaol. 6. Mi amiga _____(conseguir e-i) los platos.7. Yo _____(recordar o-ue) las conferencias con padres. 8. Christian y Garrett _____(querer e-ie) la radio. 9. Sr. Fitz y yo _____(reir e-i) mucho sobre nuestras universidades. 10. T _____(repetir e-i) el espaol muy bien. 11. Ellos _____(mover, o-ue) en el mundo. 12. Paige _____(competir e-i) jugar al hockey muy bien. 13. El hombre _____(medir e-i) la lmpara.14. Sr. Greco _____(perder e-ie) la pierna en el partido de bsquetbol. 15. T _____(tropezar e-ie) con la chica bonita. please help According to O*NET, what is the projected growth for this career between 20182028? A: averageB: decline C: little or no changeD: slower than average Under fair use laws students can use as much digital content as they want as long as it is for educational purposes .Which statement about transition elements is correct?A Their soluble salts usually form coloured aqueous solutions. B They are all in the same group of the Periodic Table. C They are non-metals with high melting points. D They can be mixed together to form compounds What is the purpose of sensory details in building a sentence? Which of the following best describes a population? The diameter of a circle is 11 in. Find its area to the nearest tenth. Kurt deposited money into his bank account every month. The amount of money he deposited in the first 5 months of 2014 is listed in the table.Month Amount Deposited(dollars)January 1,200.32February 985.43March 1,200.65April 1,987.34May 1,000.98The total amount of money that Kurt had deposited into his account at the end of May is ______ The total amount of money that he had deposited into his account at the end of March is _______ A scale drawing of a rectangle park measures 6 inches long and 2 inches wide. If the scale used for the 3 inches equals 7 yards, what is the actual length of the park? representative: acting or speaking for othersdemocracy: government ruled by the peopleAccording to those definitions, which sentence describes a government that uses representativedemocracy like the United States?A. A king appoints, or chooses, a group ofadvisors to govern for him.B. All of the people in a country debate andvote on every political issue.C. The citizens of a country elect people tomake laws for them.D. An unelected emperor makes all decisionsfor the government. A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour? A. -5000 gallons per hourB. -1000 gallons per hourC. -100 gallons per hourD. 1000 gallons per hour Whoever answers this gets brainlist! A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel? Round to the nearest whole mile. * How many layers are in the integumentary system5243 what is the equation shown on this graph? Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct What are the steps on how to copy an angle? (Geometry) The equation of the horizontal line passing through the point (-3, 8) is y = 8. O True O False 538 = ? hundred + ? tens + ? onesWhat is the answer?(I am doing this cause my friend won't stop saying that 8 is in the tens