Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
Answers
Answer:
(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Step-by-step explanation:
Given
See attachment for triangles
Required
The relationship between both triangles
First, we determine the corresponding sides.
The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).
So, we have:
[tex]AC\ to\ EC[/tex]
[tex]BC\ to\ DC[/tex]
Next, is to name the triangle base on the corresponding sides
The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]
Lastly, is to check the scale ratio (k).
For both triangles to correspond, the scale ratio must be the same
So:
[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]
[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]
[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]
[tex]k = \frac{4}{3}[/tex]
Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Related Questions
The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.
Write the product of the outcomes.
(first city) · (second city) · (third city) · (fourth city) · (final city)
= 5 · 4 · 3 · 2
Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.
Recall that
n! = n(n − 1)(n − 2) 1.
Here,
n = 5
and
5! = 5 · 4 · 3 · 2
Step 3
Multiply to find the total number of possible outcomes.
5! = 5 · 4 · 3 · 2 · 1
= ?
So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.
Answers
Answer:
third city
Step-by-step explanation:
eBook
Video
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.
a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal
places.)
Answers
Answer:
Probability =0.9898
Step-by-step explanation:
Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898
The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier
Answers
Answer:
0.00621
Step-by-step explanation:
We solve the above question using the
Z score formula. This is given as:
z = (x-μ)/σ/√n
where
x is the raw score = 12.20 or earlier
This means x ≤ 12.20
μ is the population mean = 13.20
σ is the population standard deviation = 2
n is the random number of samples = 25
z = 12.2 - 13.2/2/√25
z = -1/2/5
z = -1/0.4
z = -2.5
Probability value from Z-Table:
P(x≤ 12.2) = 0.0062097
Approximately = 0.00621
Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621
Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?
Answers
Answer:
3^81 is bigger
Step-by-step explanation:
3^81=4.43426488e38
9^27=5.8149737e25
Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!
Answers
Answer: Rectangle and Parallelogram
Step-by-step explanation:
Answer:
One could be a parallelogram that does not contain an internal right angle and the other a rectangle.
Step-by-step explanation:
True or False: When using a permutation, order matters.
False
True
Answers
Answer: True
plz plz plz help me ill give brainliest i just really need help
Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answers
Answer:
C. when L =5, W = 3, H = 2
Step-by-step explanation:
2(wl + hl + hw)
2(15+5+3) = 46
2(4+12+12) = 56
2(15+10+6) = 62
Find the missing terms in the arithmetic sequence
15 , ____ , ____ , ____,17
Answers
Answer:
n.m bnkjhb,nbhj
Step-by-step explanation:
Use the given graph to determine the limit, if it exists.
Answers
Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn, awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines, Medicine A or Medicine B, is more effective in improving cognitive health. A total of 150 parrots that are at least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will get consent from all owners, treat the parrots for 1 year, and evaluate changes in cognitive health. Part A: How would the study benefit from adding a control group
Answers
Answer:
Ascertain the effectiveness of the treatment
Step-by-step explanation:
A control group is usually used in experimental. Research usually to establish a higher level of assurance or confidence in one's findings. The control group may be explained as that group in an experiment which do not receive the treatment given to the other group or groups, they may also be called the placebo group. Therefore, adding a control group, the treatment groups (Medicine A and Medicine B) would be weighed against the group which does not receive either of the two medicines.
12
Joe wants to rent a bike. The rental fee is dollars, after t hours, and is modeled by x= 5t +5.
Part A
If the rental fee for the bike Joe borrowed was $20, how many hours did he keep the bike?
2
3
4
1
Answers
Answer:
4
hours
i hope that helped
Step-by-step explanation:
Answer: 3 hours
It is correct trust me
Hurry, geometry math 7th grade
Answers
You need to find the area of the hexagon, and the area of the triangle.
The formula for the area of a triangle is
[tex]a = \frac{bh}{2} [/tex]
I hope this helps you a little.
Answer:
93.5 units^2
Step-by-step explanation:
a^2+b^2=c^2
a=3
b=?
c=6
b=√6^2-3^2
b=3√3=5.196
5.196×3=15.5884
15.5884×6
I need help with all of this
Answers
3. 289 ft
I don’t know the rest sry
Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary.
Answers
9514 1404 393
Answer:
12.76 units
Step-by-step explanation:
The distance formula is useful for finding the lengths of segments between given coordinates.
d = √((x2 -x1)² +(y2 -y1)²)
Then the lengths of the line segments are ...
CD = √((1-2)² +(1-4)²) = √10
DE = √((5-1)² +(0-1)²) = √17
EF = √((3-5)² +(4-0)²) = √20
FC = √((2-3)² +(4-4)²) = 1
Then the perimeter is ...
√10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units
__
In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answers
Answer:
3 p.m
Step-Hope this helps!!
Answer:
pretty sure 3pm
Step-by-step explanation:
You just subtract 9-6
So its 3pm :)
what is the distance between the points (-7,3) and (4,-5)
Answers
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 44 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answers
Answer:
since 10% = 44cards and 10% is 1 of tenth of hundred then 44x10 = 440 is the numbers of card sold on the Mother's day
A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
The critical value that should be used in constructing the confidence interval is T = 3.25.
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre
The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
What is the Effect size of 1 million children effected by divorce
Answers
Answer:
50% I think if I'm not mistaking
Bro
I’m lazy and I don’t wanna do it if someone can do it it would mean a lot
Answers
Answer:
Option 2.
Step-by-step explanation:
X is a number greater than the equality. Therefore the arrow will go to the bigger side. It also is not equal to the equality hence the cirle is open.
Answer:
I feel ya. It's the second one. Have a nice day.
Step-by-step explanation:
In a geometric sequence, a2=2, a3=16, and a4=128.
Which equation can be used to find the nth term of the sequence, an?
an=8⋅2n−1
an=2n−1
an=14⋅8n−1
an=2⋅14n−1
Answers
Answer:
an = 1/4(8)^n-1
Step-by-step explanation:
Given the following in a geometric sequence, a2=2, a3=16, and a4=128.
nth term of a sequence = ar^n-1
a is the first term
r is the common ratio
r = a3/a2 = a4/a3
r = 16/2 = 128/16
r = 8
a2 = ar
2 = 8a
a = 2/8
a = 1/4
The nth term by substituting the parameters will be;
an = 1/4(8)^n-1
Martina,Keith,and Josh have a total of $116 in their wallets. Martina has $9 less than Keith. Josh has 3 times what Keith has. How much does each have?
Answers
Answer:
keith=25,Martina=16,Joes=75
Step-by-step explanation:
Please please help please please ASAP please please help
Answers
Answer:
r = 3 cm , LA= 30π cm^2 , SA = 48π cm^2
Step-by-step explanation:
This is a bit more difficult because we have to use the inverse formula
if
V = base area x height
we can obtain
base area = V/height
base area = 45π/5 = 9π cm^2
If
base area = radius^2 π
we can obtain
radius = √base area / π
r = √9 x π/π = 3 cm
base perimeter = 3 x 2 x π = 6π cm
LA = 6π x 5 = 30π cm^2
SA = 9π x 2 + 30 π = 48π cm^2
Which figure has just one line of symmetry?
1. B
2. A
3. D
4. C
Answers
Answer:
C
Step-by-step explanation:
I hopes this helps a little
give proof and show work and ill give brainliest
Answers
Answer:
84in
Step by Step Explanation:
SA = 2bh + b^2
SA = 2(6)(4) + 6^2
SA = 48 + 36
SA = 84
If f( a)= a^2-2a+1 what is the value of f(-4)
Answers
Answer:
Step-by-step explanation:
For this you just plug in a = -4 into the function:
f(-4) = (-4)^2-2(-4)+1 = 25
25 should be the answer.
Answer:
25
Step-by-step explanation:
f(-4) = (-4)² - 2(-4) + 1
= 16 + 8 + 1
= 25
Which one is not a function? DONT USE THE LINK SCAM, I really need help
Answers
How to slove this question
Answers
a train travels 18 km in 30 minutes.Find the speed of the train in km/h
Answers
Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
Using π = 3.14, what is the circumference of a circle with a diameter of 5.5 units?
Round your answer to the nearest hundredth.
Answers
Answer:
17.27
Step-by-step explanation:
so we do 5.5/2=2.75
2x3.14= 6.28
6.28x2.75=17.27