If DEF and MNO are two triangles such that DE=MN and EF=NO, which of the following would be sufficient to prove that triangles are congruent
Answers
Answer:
D. ∠E ≅ ∠N
Step-by-step explanation:
The pair of sides meet at vertex E in ∆DEF and at vertex N in ∆MNO. Since the sides that make up angles E and N are shown congruent, it is sufficient to show ...
∠E ≅ ∠N
Then the SAS congruence postulate can be claimed.
__
Additional comment
The alternative is to show DF ≅ MO. That would allow you to claim SSS congruence. That is not an answer choice.
Related Questions
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answers
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
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PLS HELP!!!
simplify 3^2 x 3^4 x 3^6=
3^10
3^12
3^0
3^40
Answers
Answer:
3¹² is answer
Step-by-step explanation:
3^(2+4+6)
3^12
A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.
Answers
Answer:
Average total cost per class is 13.5
Step-by-step explanation:
A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.
Yearly charge = 150 $
Charge per class = 12 $
A studio member takes 100 classes per year
Number of class attended by studio member = 100
We need to find average total cost per class for this member for a year.
Total charge = Yearly charge + Number of class attended x Charge per class
Total charge = 150 + 100 x 12
Total charge = 150 + 1200
Total charge = 1350 $
\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}
Average total cost per class =
Number of class attended by studio member
Total charge
Average total cost per class =
100
1350
=13.5$
Average total cost per class = 13.5 $
Study hard
Brainliest please thank you!
Answer:
1,530
Step-by-step explanation:
Total charge = 180 + 75 x 18
Total charge = 150 + 1,350
Total charge = 1,530 $
Okie help please math math math
Answers
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
need help 5 stars and good rating for math problem
Answers
Answer: the 20 ounce box cost less per ounce
Step-by-step explanation:
Find the equation of the polynomial function graphed below.
A) f(x) = x3 − 3x2 − 6x + 8
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answers
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.
Answers
670+r= 1,350. Subtract 670 from each side of the equation to isolate the variable. Once you do that, you get r= $680.
Answer:
1,350-670=R
Step-by-step explanation:
R means Raffle
Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)
Answers
Answer:
84
Step-by-step explanation:
Total episodes to watch = (100 - 30)% = 70%
Finding 70% of 120
70/100 × 120
7 × 12
84
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answers
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
. Mary has been working hard to pay her bills and as a result she has a good credit rating and has qualified for a lower interest rate credit card. She needs to move and an apartment in a good location is available now. She has money for the monthly rent but she doesn’t have enough cash right now for the month in advance and additional moving expenses. She is expecting a bonus from her job within the next couple of months that will cover these expenses. How could a credit card be a benefit in this situation?
Answers
Mary having a credit card could be beneficial to her present situation as it gives her the ability to move to the new apartment without making immediate cash payments.
What is a credit card?A credit card is a payment card issued by a bank or financial services company to a cardholder to enable the cardholder to purchase goods and services on credit and later pay for them.
Credit cards and their interest rates are issued based on the user's credit rating.
What are the benefits of credit cards?Some of the benefits that Mary can derive from using credit cards include:
Ability to move to an apartment using her credit card without making immediate cash payments from her unavailable savings.Make credit purchases and withhold cash payments.The cardholder does not necessarily have to have a checking or saving account.The credit card gives Mary increased purchasing power.Using a credit card now helps Mary to build up her credit rating for future emergencies.Thus, with a credit card, Mary can move to the new apartment by borrowing the required funds for advance payment, including additional moving expenses.
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Which of the lines listed below is parallel to the line with the equation y = 3/2x + 5?
Answers
use desmos graphing calculator
What is 1 + 1 I need to know.
Answers
Answer:
2
Step-by-step explanation:
please mark my answer in brainlist
Answer:
2
Step-by-step explanation:
1+1=2
if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter
Answers
The 20th term from the end of the AP, 3, 8 , 13,. ..... ,253 is
Answers
Given A.P = 3,8,13,...,253
Common difference = 8-3 = 5
The AP from the end = 253, 248,245,...,13,8,3
First term from the end = 253
Common difference = 248-253 = -5
We know that
an = a+(n-1)d
t20 = 253+(20-1)(-5)
→ t 20 = 253 +(19)(-5)
→ t 20 = 253-95
→ t 20 = 158
20th term from the end of the AP = 158
!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!
Answers
Answer:
y= 2x +1
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the slope.
Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.
Hence, y= 2x +1 is the correct option.
Extra notes:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?
Answers
Answer:
8 turtles joined the group
Step-by-step explanation:
13-5=8
Find the percent increase. Round to the nearest percent. From 95 books to 153 books
Answers
Answer:
62%
Step-by-step explanation:
(The part/ the whole)× 100
(95/153) = 0.62
0.62×100 = 62%
Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?
Answers
Answer:
$5.50 x 5 = $27.5
$27.5 x 4 = 110$
$2.00 x 2 = $4.00
$4.00
$3.00
$1.75 x 4 = 7$
27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5
Step-by-step explanation:
can you me as brainliest if its right?\
my first answer was wrong
15 x 5.50 = $82.50
2 x 2 = $4
+ $2
+ 3
4 x 1.75 = $7
= $98.50
that’s what i got
Brent checks the sales records for a random sample of 16 days and finds the mean number of gallons sold is 150 gallons per day; the sample standard deviation is 12 gallons. With 95% confidence, estimate the what is mean number of gallons that Brent should stock daily.
Answers
Answer:
[143.61, 156.39]
Step-by-step explanation:
Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.
Plug these values into your calculator:
Sample mean = 150
Sample size = 16
Standard deviation = 12
Confidence level = 95% = 0.95
and get [143.61, 156.39] as your confidence interval
Select the values that make the inequality -4 g< 64 true. Then write an equivalent inequality, in terms of g
Answers
Answer:
g > -16
Step-by-step explanation:
-4 g< 64 (Given)
g > -16 (Sign flips sing you divided by a negative number)
elliot's jogging rate is 9 km/h. how many kilometers can he travel in
a) 2 hours?
b) t hours.
50 POINTS AND BRAINILEST!
Answers
Answer:
A=18km B=equation is 9t
Step-by-step explanation:
Here's how I found the answer!
A: Here is our current proportion:
9km
--------
1 hr
Here is what we want:
9km xkm
------- = --------
1h 2h
Now, what did I do to 1 to get to 2? I multiplied by 2.
Since this is a ratio, it needs to be proportional.
So, we need to do the same thing for the numerator, 9.
9*2=18.
A=18km
B: This question is asking for an expression, which would be 9t. 9 is the amount he jogs per hour, and t is the hour that is unknown.
The distance travelled by Elliot's is 18 hours.
Given that, Elliot's jogging rate is 9 km/h.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
a) The formula to find the distance is Distance = Speed × Time
= 9 × 2
= 18 hours
b) Distance = 9 × t
=9t hours
Therefore, the distance travelled by Elliot's is 18 hours.
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patsy can decorate 3 1/2 cupcakes in 1/4 hour at this rate how many cupcakes can patsy decorate in 1 hour
Answers
Answer:
14
Step-by-step explanation:
3.5 cupcakes can be done by 15 mn
X cupcakes can be done by 1 hour
35 ×60mn =15X
210 /15=X
X= 14
so 14 cupcakes will be done by an hour
A ladder is 65 inches tall. How tall is it in feet and inches?
Answers
1 foot = 12 inches
65 inches / 12 = 5.41 feet
5 x 12 = 60
65-60 = 5
Answer: 5 feet 5 inches
matthew drove 252 miles to his familys vacation spot his father drove twice as many miles and then thy arrived at their hotel how far did the family travel to get to their destination
Answers
252
252x2 =504
504+252
756 miles?
Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?
Answers
Answer:
Follow the explanation below.
Step-by-step explanation:
7x = 48 - 8
7x = 40
x = 40/7
x = 5.714
Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.
Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)
Answers
There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
A) 8000 x 1.67 ^ n = f B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
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Express as a single power.
Answers
a) 1
b) -5
c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]
The graph of an equation with a negative discriminant always has which characteristic?
Answers
Answer:
answer below
Step-by-step explanation:
equation with a negative discriminant: negative number under the square root
1. will produce imaginary number "i"
2. the function will get two complex solutions
Part C
What is the elevation of the deck where Winston ate dinner?
Answers
Answer: 10 feet
Step-by-step explanation:
Homer paid $6.72 for a dozen donuts. Identify the unit rate. a. $1.79 c. $0.52 b. $1.12 d. $0.56
Answers
Answer:
d. 0.56
Step-by-step explanation:
6.72/12=0.56
the unit rate is just the cost for one.