What is the length of DF?
F
За
IT
E
G
a +6
D
DF =

What Is The Length Of DF?FITEGa +6DDF =

Answers

Answer 1

Answer:

  18

Step-by-step explanation:

Triangles FEG and DEG are congruent by SAS, so DG = FG.

  a+6 = 3a

  6 = 2a

  3 = a

  3a = 3·3 = 9 = FG = DG

DF = 9+9 = 18


Related Questions

The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:

Answers

Answer:

Minimum: 29

Lower Quartile: 35

Median: 43

Upper Quartile: 46

Maximum: 60

Interquartile Range: 11

Step-by-step explanation:

FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).

What equation shows the correct rule for the function q?


q(x)=21x

q(x)=21x−3

q(x)=21x+9

q(x)=21x+3

Answers

Answer:

last one

Step-by-step explanation:

Answer: the correct answer is B the guy above me is wrong

Step-by-step explanation:

Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.

a
Yes, because each input is a natural number with multiple output numbers in the sequence

b
Yes, because each input is a natural number with a single output number in the sequence

c
No, because there are no input values paired with a single output number in the sequence

d
No, because there are multiple input values paired with a single output number in the sequence

Answers

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

The sequence is a function because each input is a natural number with a single output number in the sequence.

What is arithmetic progression?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given the sequence {4, 7, 10, 13, 16, ...},

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.

a₂ - a₁ = 7 - 4 = 3

a₃ - a₂ = 10 - 7 = 3

the difference in output is the same for all the numbers in sequence.

Hence the sequence is the function of the Arithmetic Sequence.

Learn more about arithmetic progression;

https://brainly.com/question/16947807

#SPJ2

what are the correct answers?

Answers

cos (75)=cos (15) nothing square and check

(9,11)(9,3) find the slope and explain
please

Answers

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

11-3/9-9

8/0

0

slope=0

Determine whether the following sequence is arithmetic,
geometric, or neither.
1. 4, 1, 2
2. 4, 20, 100
3.212 106,53

Answers

Answers:NeitherGeometricGeometric

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

Explanation:

The sequence {4,1,2} is neither because both arithmetic sequences and geometric sequence are either always increasing or always decreasing. We start off decreasing when going from 4 to 1, but increase to 2.

----------

The sequence {4,20,100} is geometric because we multiply each term by 5 to get the next term. That means the common ratio is 5. Notice how this sequence is increasing.

---------

The sequence {212,106,53} is also geometric. This time the common ratio is 1/2 = 0.5; this sequence is decreasing.

The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.

Please explain also​

Answers

Answer:

Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)

1 hectare = $36

$486 = 13.5 hectares

13.5 hectares = 1/2 × b × h

To get b × h, you use the reverse of the formula. Hence:

13.5 = 1/2 × b × h

13.5 ÷ 1/2 = b × h

               = 27

27 is b × h.

The question states that the base is three times the height. Hence:

b = 3u

h = 1u

b × h = 27

        = 3u × 1u

Thus, we need to find one value which is three times the other, in order to get a product of 27.

Factors of 27:

1 × 27

3 × 9

9 is three times of 3. Thus, the base is 9, while the height is 3.

For the holidays, Antonio is driving to visit his grandparents who live 441 miles away. Antonio's car gets 31.5 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Antonio wants to know how much gas he will need.
Use an equation to find how much gas Antonio needs for the drive.
Antonio needs
gallons of gas.


Answers

Answer:

12

Step-by-step explanation:

Find the area of the parallelogram

Answers

Answer:

A = 99.84 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9.6 and h = 10.4 , then

A = 9.6 × 10.4 = 99.84 cm²

Step-by-step explanation:

We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.

But let's make an exception.

For the first right angle. The area = 1/4(b+h)

¼(10.4+9.6) = 5cm²

We see that the base of the triangle is flipped and the angles correspond

so, the area would be 5cm² * 2

= 10cm²

It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?

Answers

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

During a cold winter day, the temperature change was - 2.3 f per hour for a period of 6.5 hours. What was the change in temperature during that time?

Answers

Answer:

-14.95 F

Step-by-step explanation:

Given:

Temperature change rate is - 2.3 F per hourTime is 6.5 hours

The change in temperature is:

temperature change rate * time -2.3 * 6.5 = -14.95 F

Find the domain and range of the function represented by the graph . What’s the domain an range

Answers

b, remember the domain is the x values, and the range is the y values

What is the probability that a student took AP Chemistry, given they did not get into their first-choice college? Enter
your answer as a decimal to the ten thousandths place.

Answers

Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Did not get into their first-choice college.Event B: Took AP chemistry.

According to the chain given, the percentages associated with not getting into their first-choice college are:

0.1375(chemistry).0.1575(physics).0.24(Env Sci).0.07(Biology).

Hence:

[tex]P(A) = 0.1375 + 0.1575 + 0.24 + 0.07 = 0.605[/tex]

The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence [tex]P(A \cap B) = 0.1375[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1375}{0.605} = 0.2273[/tex]

0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer: 0.2273

Step-by-step explanation: because it says so <3

Find EG

Please help

Answers

Answer:

EG = 12.2

Step-by-step explanation:

Since HG = HE = 14 then the triangle is isosceles.

HF is a perpendicular bisector of EG , then

EF = FG = 6.1 , so

EG = EF + FG = 6.1 + 6.1 = 12.2

If I make 2,500 dollars a minute.How much money will I make in 8 hours?

Answers

Answer:

1200000

Step-by-step explanation:

First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes

Then just do 2500 dollars * 480 minutes = 1200000

Answer:

$1,200,000

Step-by-step explanation:

We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000

We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.

I hope this helps have a great day and happy holidays :)

I'm not sure if this s corrct. Can you guys check it for me?

Answers

I think it’s right but someone else might need to check

Answer:

YUP!

Step-by-step explanation:

Let's take the 60 degrees angle first. 180-60=120

3x+x=4x

120/4=30

So you were right!

:))

Need help fast on hs geometry please

Answers

Here, the two angles are equal.So, it is an isosceles triangle.So, the two opposite sides to the equal angles will be equal.Therefore, XY = YZ

[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}

15=4x+3

=>4x=15−3

=>4x=12

=>x=3[/tex]

Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

Answers:

3, 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

What’s the answer?? I need asap!

Answers

Answer:

120°

Step-by-step explanation:

Opposite angles in a cross of 2 lines like this are equal;

A = 120 and B = D = 60°

Answer:

∠ A = 120°

Step-by-step explanation:

∠ A and 120° are vertically opposite angles and are congruent , so

∠ A = 120°

Give the coordinates of the point P without using any new variable.​

Answers

Answer:

Step-by-step explanation:

C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).

The angle measures of an isosceles triangle are shown. Find the value of w.

Answers

Answer:

[tex]w=7[/tex]

Step-by-step explanation:

Using the Angle Sum Theorem which states that all the interior angles in a triangle add up to 180 degrees you can use that to solve for w with the following:

[tex]62 +9w-1+8w=180[/tex]  First combine like terms

[tex](62-1)+(9w+8w)=180[/tex]

[tex]61+17w=180[/tex] Then subtract 61 from both sides.

[tex]17w=180-61[/tex]

[tex]17w=119[/tex] Now divide by 17

[tex]w=119/17[/tex]

[tex]w=7[/tex]

A cylinder has a height of 7 centimeters and a diameter of 24 centimeters. What is its volume?

Answers

Answer:

[tex]to \: know \: \: the \: solution[/tex]

[tex]refer \: to \: the \: attatchment[/tex]

I hope this helps you !!

anyone can have few minutes to help!!

Answers

Answer:

i am not sure

Step-by-step explanation:

What is the area of a rectangle with side lengths of 5 meter and 3 meter?
- -
6 4

Answers

where width ?

...................

Rotation 180 counterclockwise around the origin of the point (-3,-7)

Answers

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

Write an equation in the form
Y = mx +b to represent the line on each
graphy
40
3

2
st
14 - 2
T
IT
1
-2
3

ha

*
H
H
Sz

Answers

Number 44 is y = -1/2x-1

Number 45 is y= -x+5

At what point(s) does the parabola,

y

=

x

2



2

, intersect the line,

y

=



x

Answers

Answer:

Please check the formatting when posting.  I'm assuming these are the equations:

y=x^2 - 2

y=−x

Step-by-step explanation:

We can either graph the equations or solve them.  I use graphing - see the attachment.  The lines intersect at (-2, 2) and (1,-1)

1.  Graphing

See attached graph

(-2, 2) and (1,-1) are the intersection points

2.  Solving

y=x^2 - 2  Use y=−x in this equation:

-x = x^2 - 2

0 = x^2 + x - 2

0 = (x+2)(x-1)

x = -2 and +1

(-2, 2) and (1,-1) are the intersection points

What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?

Answers

Answer:

y=1/4x + 1

Step-by-step explanation:

first equation,,y=1/4x - 1

G1 = G2

G2 = 1/4

y+1 /x+8 =1/4

4y = X + 8 -4

4y =x + 4

y = 1/4x + 1

If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now

Answers

Answer:

13. 70(two digits 7 times 10 which is a multiple of 5)

Hope This Helps!!!

unit 5 relationships in triangles homework 1 triangle midsegments

Answers

Q10

∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°

Q11

∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°

fill in blanks plz hurry due tmrw

5/7of ... is 5/21

... is blank

Answers

[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]

Other Questions
someone please help me i swear i'll give brainliest Which quadrilateral is a trapezoid? write the equation of the line with slope -3/2 passes through the point (-12,16) Qu es lo ms importante que necesitascuando viajas a un pas diferente?O pasaporteO maletao boletoO viajar deficiency of nitrate ions in plants WILL GIVE BRANILIEST!!!! PLEASE HELP ASAP!!! IT IS TIMEDWhy did the Japanese government accept the letter Perry brought from President Fillmore in 1853?A. Japan wanted to receive news from the United States.B. Japan was impressed with the stature of the US president.C. Japan was considering expanding its trading relationships.D. Japan appreciated that the letter had been written in Japanese. Matthew has a loyalty card good for a discount at his local hardware store. The item he wants to buy is priced at $13, before discount and tax. After the discount, and before tax, the price is $12. 48. Find the percent discount. Pls help peeps would be appreciated . My father detests __________ fish because he is allergic to this food.A. to eat B. eats C. eating D. eat Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor. Please help (30 points)Versailles treaty 2. There is a 0% chance that the earth is the closest planet to the sun.A) unlikelyB) certainC) likelyD) impossible Solve For P (pls answer quick) Which of the following is a linear function? (1 point) HELP ME PLZZ The barber of Town shaves all men living in the town. No man living in the town is allowed to shave himself. The barber lives in that town. Who then shaves the barber of the town? Which phrase best defines a sitcom?a series of interconnected episodes following a set group of charactersa series of self-contained episodes following a set group of charactersa stand-alone episode designed to gauge interest in a showa series of self-contained episodes following a rotating group of characters Convert 1 = 4 to polar form. [tex] \tt\blue{Pwe \: \: \: POINTS }[/tex] Governments typically establish population policies for all of the following reasons except __________. A. to limit population growth B. to encourage the growth of an ethnic group C. to lower the standard of living for all citizens D. to encourage population growth Please select the best answer from the choices provided. A B C D 3/4+x=2xx+_Make equation have infinite solutions in the blank