DF bisects EDG. Find FG. The diagram is not to scale. Show all steps.

DF Bisects EDG. Find FG. The Diagram Is Not To Scale. Show All Steps.

Answers

Answer 1

Answer:

FG = 14

Step-by-step explanation:

The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.

This implies that:

n + 9 = 4n - 6

Collect like terms

n - 4n = -9 - 6

-3n = -15

Divide both sides by -3

n = -15/-3

n = 5

✔️FG = 4n - 6

Plug in the value of n

FG = 4(5) - 6

FG = 20 - 6 = 14


Related Questions

Sara made enough raspberry jam to fill 3
1
jars of equal
8
size. Then she made strawberry jam. If the amount of the
strawberry jam she made was the amount of raspberry
jam she made, how many jars could she fill with strawberry
jam?

Answers

Answer:

5/8 Jar

Step-by-step explanation:

I took the test...

need help w this pls guys

Answers

Answer:

B

Step-by-step explanation:

A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Round your answer to the nearest whole cubic inch.

Answers

the ball would actually come out to 5

A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds.

Which of the following statements is relevant to the assumption of Normality?

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale

Answers

Answer:

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population

Step-by-step explanation:

The population mean = μ= 7.5

Sample mean = x`= 7.3

Sample standard deviation= s= 0.6

Sample size = 87

Assuming normality we perform z test

z= x`-u/s/√n

z= 7.3-7.5/0.6/√87

z= -3.11

The critical region for 0.05 for two tailed test is z>+1.96 and Z<-1.96

Since the calculated z= -3.11 falls in the critical region Z<-1.96 we conclude that birth rate is lower in the young mothers.

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population

Only choice a is correct because when n > 30 the population standard deviation and the sample standard deviation are assumed to be normal

Choice b cannot be the correct option because it is already inferred that only one baby was measured per mother.

Choice C cannot be also the best choice because it is already assumed.

Choice d is totally incorrect.


Help please! I would really appreciate it!!!

Answers

Answer:

the output is n+5

Step-by-step explanation:

3+5

4+5

8+5

n+5

What is the median please help please help

Answers

Answer:

54.5

Step-by-step explanation:

To find the median, first we have to put the numbers in ascending/increasing order.

43, 60, 50, 36, 58, 50, 73, 59, 69, 51 is your set

36, 43, 50, 50, 51, 58, 59, 60, 69, 73 is your set in order.

The median is the middle number of the data set. Your set has an even number of entries, so we have to average the 2 middle numbers, which are 51 and 58.

36, 43, 50, 50,     51, 58,         59, 60, 69, 73

51 + 58 = 109

109/2 = 54.5

Rewrite in simplest terms: 3g-5(-3g+7)3g−5(−3g+7)

Answers

Answer:

Step-by-step explanation:

Find the domain and range of the given graph?
HELPPPP PLSS​

Answers

Answer:

The domain would be -3≤x≤2 and the range would be -5≤y≤4

Step-by-step explanation:

The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.

The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.

joe paid 14.00 for a board game. this is 70% of the original price. what was the original price?

Answers

Answer:

I'm going to be honest

Step-by-step explanation:

I don't have any clue sorry.

Figure JKLM is similar to figure PQRS.
S
J
к
R
Р
M
L
Which proportion must be true for these figures?
QR JK
F
=
QP
LM
QR
RS
=
KL
JK
QR
H
Il
PO
LM
QR
Il
PS
IM
KL

Answers

Answer:

the answer is D

Step-by-step explanation:

i found it in quizzes and Quizlet

What is coordinates of point C?

Answers

Answer:

(3,6)

Step-by-step explanation:

Using the midpoint segment formula

M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]

Given (-2 -6) and (4,6) divided in the ratio 1:5

X = 1(-2) + 5(4)/1+5

X = -2+20/6

X = 18/6

X = 3

Similarly

Y = 1(-6)+ 5(6)/1+5

Y = -6+30/6

Y = 24/6

Y = 4

Hence the required coordinate of C is (3,6)

HELP WILL GIVE BRAINLIST

Answers

Number 1 and number 3 are the ones that are equivalent

1) Find the area of  ABC to the nearest square centimeter.

Answers

that is right correct answer

The average of 2 3 and what number is 10?
pls help

Answers

i think it’s 5 tbh it’s random

Please help!! What is (-4r) (-30) - (-8) when r = 8

Answers

Answer:

968

Step-by-step explanation:

just substitute r for 8 and solve!

(-4r) (-30) - (-8) when r = 8

-4(8)×(-30)+8

-32 × -30 +8

960 + 8

968

Work out the size of angle p.
97°
64°
р
49°
76

Answers

Answer:

You have not attached a picture of the triangle.

180 degrees complete a triangle so maybe if an angle is given + 90 degrees if its right angle then 90- other angle = angle p.

You would need to see if any other angles given and if not then you would need to see if any straight parallel lines or adjacent or even consecutive angles given if not then angle p could be worked out from a side given.

If its an opposite side and adjacent then we use shift Tan-1  side/side

If its an adjacent side and hypotenuse we use shift Cos-1 side/side

IF its an opposite and hypotenuse given we use shift Sin -1 side/side

Rank the following methods of timekeeping from least precise to most precise
A clock with an hour, minute, and second hand

A calendar

A clock with only an hour hand

A clock with an hour and minute hand​

Answers

1- a calendar 2- A clock with only an hour hand 3- A clock with an hour and minute hand 4- A clock with an hour minute and second hand ( 4 being the most precise)

A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a number of games.

Answers

Answer:

12 + 5X = Y

Step-by-step explanation:

Given that a video store charges $ 5 per game rental plus $ 12 to rent the game system, to write an expression for renting the game system and a number of games the following logical reasoning must be performed:

5 = variable not fixed, depends on the number of games

12 = fixed variable

X = number of games

Y = total value

12 + 5X = Y

Thus, if 5 video games were rented, the equation would operate as follows:

12 + 5x5 = Y

12 + 25 = Y

37 = Y

Help!!!!! find the value of x.

Answers

Answer:

x = 48

Step-by-step explanation:

The two angles shown in the diagram are supplementary and add to 180° because they form a straight line. We can set up an equation:

x - 12 + 3x = 180

4x - 12 = 180

4x = 192

x = 48

Answer:

[tex]x=42[/tex] ✔︎

Step-by-step explanation:

∠1 + ∠2=1803x+x-12=1804x-12=1804x=180-124x=168x=42°

∠1= 3x=3×42=126°

∠2=x-12=42-12= 30°

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

hope it helps...

have a great day!!

what is 103 more than 1000​

Answers

Answer:

Step-by-step explanation:

         We are looking for a new number which is 1000 more than 103.

We will get the new number by adding 1000 to 103.

We write it down as:

103+1000=1103

And finally the solution for: What number is 1000 more than 103?

is 1103 ans

please mark me as brainliest..

please mark me as brainliest

Help me please giving out brainliest!

Answers

Answer:

Your answer is B

Step-by-step explanation:

If you use the division you technically can't use the distributive property, so it could be A. But if you had to use it; I would say the best way to do so it to multiply everything by 1.

help me i need help pls

Answers

Answer:

13

Step-by-step explanation:

4x-9=×+12. x=1 plug it in and u get 13

X + 6
for
<1
f(x) =
-5
for
X = 19
X + 4
for
Find f(1)

Answers

Answer:

Step-by-step explanation:

when, for each x in the domain of f, f(x) 6. A function f Skills and Applications 回避回Domain, Range, and Values of a is , 13. Function In Exercises 7-10, use the graph of the function to find the domain and range of f and each function value. 7. (a) f(-1) (b) f(0) 8. (a) f(-1) (b) f(0 15. f(x) 16. f(x) 17. f(x) 18. f(x) 19. f(x 4-2 2 4 6 (c) f(3) (d) f(-1)(c) f(0 (d) f(2) y | y =f(x) 20. f(x 4 2 21. f(x 22. f(x 23. f(a 24. f( 2 回 回Vertical Line Test for Functions In 25. f Exercises 11-14, use the Vertical Line Test to determine whether the graph represents y as a function of x. To print an enlarged copy of Graph the graph, go to MathGraphs.com. 窝 (a) use

can someone please help sovle this

Answers

Answer:

3

Step-by-step explanation:

[tex]4x * x = 9 * 4[/tex]

[tex]4x^2 = 36[/tex]

[tex]x^2 = 9[/tex]

[tex]x = 3[/tex]

What is the rule of 72?​

Answers

Answer:

Brainiest please

Step-by-step explanation:

In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.

3.750 kg and 1.125 kg in simplest form​

Answers

Answer:

3.750 kg + 1.125 kg = 4.875 kg

Answer:

Hello There!!

Step-by-step explanation:

When it is simplest form you add all the like terms together so in this case it is kilograms so 3.750+1.125= 4.87500kg or 4.875kg (It is the same just shorter)

hope this helps,have a great day!!

~Pinky~

What is the total surface area of the solid?
9.7 mm
9.7 mm
8 mm
10 mm
11 mm
16 mm

Answers

We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.

Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.

11 x 10 x 2 = 220

Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320

Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.

9.7 x 16 x 2 = 310.4

Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88

Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm

sorry but I don't know, I'm in the 3rd grade and I don't know much about this, I hope this will be useful to you, I just could do it! I'm sorry❤️

-7(6m+ 2) = -308 showing work

Answers

[tex]\sf\purple{m\:=\:7}[/tex] ✅Step-by-step explanation:

[tex] - 7(6m + 2) = - 308 \\ ➪ \: - 42m - 14 = - 308 \\ ➪ \: - 42m \: = - 308 + 14 \\ ➪ \: m = \frac{ - 294}{ - 42} \\ ➪ \: m \: = 7[/tex]

To verify:-

[tex] - 7(6 \times 7 + 2) = - 308 \\ ➵ - \: 7(42 + 2) = - 308 \\ ➵ \: - 7 \times 44 = - 308 \\ ➵ \: - 308 = - 308[/tex]

L. H. S. = R. H. S.

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

A prism has a triangular base whose area is 42 square inches. If the height of the prism is 11
inches, which of the following is the volume of the prism?

Answers

Answer:

The volume of the prism is of 462 cubic inches.

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is given by:

[tex]V = A_b*h[/tex]

In which [tex]A_b[/tex] is the area of the base and h is the height of the prism.

A prism has a triangular base whose area is 42 square inches.

This means that [tex]A_b = 42[/tex]

Height of 11 inches.

This means that [tex]h = 11[/tex]

Which of the following is the volume of the prism?

[tex]V = A_b*h = 42*11 = 462[/tex]

Height in inches, so the volume of the prism is of 462 cubic inches.

i need help 3x²+7x+3=0

Answers

Answer:

60

Step-by-step explanation:

3x=3 multiplied by 2 which is 3x3=9

so, 9+(7x= 7x7=49) 49+3=61 rounded to 60

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