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
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?
Answer:
5/8 Jar
Step-by-step explanation:
I took the test...
need help w this pls guys
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.
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
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!!!
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
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)
Answer:
Step-by-step explanation:
Find the domain and range of the given graph?
HELPPPP PLSS
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?
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
Answer:
the answer is D
Step-by-step explanation:
i found it in quizzes and Quizlet
What is coordinates of point C?
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
1) Find the area of ABC to the nearest square centimeter.
that is right correct answer
The average of 2 3 and what number is 10?
pls help
Please help!! What is (-4r) (-30) - (-8) when r = 8
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
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
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.
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.
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
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!
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
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)
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
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?
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
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
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
[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?
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
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