Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.

Length Of DE Is ___units.Length Of DB Is ___units.Measure Of Angle FED Is ___degrees.

Answers

Answer 1

Answer:

Length of DE = 7.5 units

Length of DB = 9.2 units

Measure of ∠FED = 82°

Step-by-step explanation:

In ΔABC,

AD ≅ BD and CE ≅ BE [Given]

By the theorem of mid-segments,

DE = [tex]\frac{1}{2}(AC)[/tex]

     = [tex]\frac{1}{2}(15)[/tex]

DE = 7.5 units

Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]

Therefore, length of DB = 9.2 units

[Although it's not given in the question, but we assume FE║AB]

Since FE║AB and DE is a transverse,

Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]


Related Questions

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.

Answers

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma

Answers

Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Step-by-step explanation:

A line is a one-dimensional figure, it has no thickness.

For reference,  point is zero dimesional, a plane is twodimensional.

Then the correct answer would be:

A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000cm^3 cubed. The base of the box is 25 cm by 10 cm.

Answers

Answer:

Complete question:

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.

How tall is the box of cereal?

Answer: 40cm

Step-by-step explanation:

Given that :

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

Volume = 10,000cm^3

Base of box = 25cm by 10cm,

Base of box = Length × width

Therefore:

Length = 25cm, Width = 10cm

Volume = Lengh × Width × Height

10,000cm^3 = 25cm × 10cm × Height

10,000cm^3 = 250cm^2 × Height

Height = 10,000cm^3 ÷ 250cm^2

Height = 40cm

11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?

Answers

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!

Answers

Answer:

(x-4)^2 + (y-3)^2 =8

Step-by-step explanation:

The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3

(4,3)

The radius is the distance from the midpoint to an endpoint

This is 2sqrt(8)

So the equation is

(x-4)^2 + (y-3)^2 =8

Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form

Answers

Answer:

45×10^10

Step-by-step explanation:

try opening the brackets group and you get the answer

I will be asking questions constantly to finish a class​

Answers

Answer:

C

Step-by-step explanation:

so it has to go down,cross 0,-7, and then go up

y-axis is vertical

and since its a negative it would be in the lower quadrants

pls mark me brainliest

Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?

Answers

Answer:

It's about 33 cents per ounce. The exact answer would be 0.3325

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:     i did it on a piece of paper

What’s the sum for 1/6+square root 6

Answers

Answer:

1/6 +√6 = 2.6162

Step-by-step explanation:

Answer:

B:2.6161564...

Step-by-step explanation:

edge2020

Solve for X

5x-5=9x+3

Answers

5 x -5 = 9 x + 3


Move variable to the left-hand side and change its sign

5 x - 9 x - 5 = 3


Move constant to the right-hand side and change its sign

5 x - 9 x = 3 + 5


Collect like terms

- 4 x = 3 + 5


Add the numbers

- 4 x = 8


Divide both sides of the equation by 4

X = -2


And you answer is x = - 2

Answer:

x=-2

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

5x-5=9x+3

9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.

5x-9x-5=9x-9x+3

5x-9x-5=3

-4x-5=3

5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.

-4x-5+5=3+5

-4x= 3+5

-4x=8

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.

-4x/-4=8/-4

x=8/-4

x= -2

If f(x)= x2 + 7; Find x if f(x)= 23

Answers

Answer:

x = 4, -4

Step-by-step explanation:

f(x)= x^2 + 7

f(x) =23

23 = x^2+7

Subtract 7 from each side

23-7 = x^2 +7-7

16 = x^2

Take the square root of each side

±sqrt(16) = sqrt(x^2)

±4 = x

Share 35 sweets in the ratio 4:3

Answers

number sweet is 35

we divided ratio  =4x:3x

total  = 4x+3x

7x= 35

= 35/7

x= 5

1 st part will be 4x = 4*5= 20 sweets.

2 nd part will be 3x = 3*5= 15sweets

Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *

Answers

Answer:$11.90 each week for 5 weeks

Step-by-step explanation:

$59.50/5 = $11.90


Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11

Answers

Answer:

[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]

Step-by-step explanation:

Square root both sides:

[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)

[tex]4x=\sqrt{11}-1[/tex]

or

[tex]4x=-\sqrt{11} -1[/tex]

[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]

Answer:

PLEASE APPRECIATE IT

Step-by-step explanation:

Square root both sides:

4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)

Prove that for any complex polynomial ^=−1,
the sum of the roots is zero. (Please state any theorem used).

Answers

Answer:

I dont get this ??

Step-by-step explanation:

What is the best approximate of the square root of 50

Answers

Answer:7

Step-by-step explanation:

7^2 = 49 (or square root of 49 is 7)

8^2 = 64 (or square root of 64 is 8)

QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89

Answers

Answer: $114.65

Step-by-step explanation:

From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.

Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:

= $687.89/6

= $114.65

The person will pay $114.65 monthly

Answer:

114.65

Step-by-step explanation:

1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2

Answers

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

[tex]3x-2 = x+2\\[/tex]

Now we can solve x.

[tex]3x= x+4\\[/tex]

[tex]2x = 4\\[/tex]

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

[tex]y = 2 + 2\\[/tex]

y = 4

If jasmine gets $3.00 every time her song gets 1500 streams how much money would she have if she got 3 million streams

Answers

Answer:

$2000

Step-by-step explanation:

3,000,000/1500=$2000

what is the estimate of 14.8(20.7)​

Answers

Answer:

306.36 is the answer

Step-by-step explanation:

Answer:

306.36

Step-by-step explanation:

hope it helps! x

salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school ​

Answers

Answer:

So how many he has left to do???

I think Salim has to finish 5 more problems

Step-by-step explanation:

Determine the value of y.

A. 90

B. 60

C. 180

D. 45

(i need this rq)

Answers

Answer:

D. 45°

Step-by-step explanation:

Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?

Answers

Answer:

Large box = 31/2 = 15.5 kgs

Small box = 27/2 = 13.5 kgs.

Step-by-step explanation:

Let x be large box

Let y be small box

5x + 3y = 118

5x = 118 - 3y

x = 118/5 - 3/5y

2x + 12y = 193

2(118/5 - 3/5y) +12y = 193

y = 27/2 = small box

Large box

5x + 3(27/2)=118

x = 31/2 = large box

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?

Answers

Answer:

25 degrees

Step-by-step explanation:

The angle WRS for the given triangle will be ∠WRS = 25°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that the triangle has an angle as shown in the image

The angle TRW → 25x + 30 = 180 -5x

→ x = 5°

Now the angle WRS → 180 - ( 25x + 30)

∠WRS = 25° hence, the correct answer will be this.

For more about the angle

brainly.com/question/13954458

#SPJ6

What is the inverse of y= e^x+3 -4

Answers

Answer:

log(x + 1)inverse function y(x) = e^x + 3 - 4

Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places. ​

Answers

Answer:

9.46 ft

Step-by-step explanation:

Law of sines

10/sin(90)=x/sin(71)

x=(sin(71)*10)/sin(90)

x=9.46

IT'S URGENT, Help Me ASAP! PLEASEEEE

1) Write two linear inequalities
2) Draw and shade the graph
3) List two possible combinations of halls that can be rented for the workshops. ​

Answers

Answer:

1)

40x + 70y ≤ 280 (red on the graph)

100x + 120y ≤ 1200 (blue on the graph)

2) see attachment

3) x=5, y=1

40*5 + 70*1 ≤ 280. 270 ≤280

x=3, y=2

40*3 + 70*2≤280, 260 ≤ 280

helppppppppp! i give brainliest !!!!!!

Answers

Answer:

7.5g salt, 10g yeast, 50ml oil, 450ml water.

The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..

Answers

Answer:

First tale nth term and find relation of a , d, n

Try yourself

If the pattern rule is defined by the equation `t = 6n`, where `t` is the term value and `n` is the term number, what is the one hundredth term?

Answers

Answer:

600

Step-by-step explanation:

Given

equation t = 6n

n is term number

we have to find 100th term.

Thus, term number is 100

substituting 100 in place of n in equation t=6n , we can find the value of 100th term

t = 6*100 = 600

Thus, 100th term is 600.

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