Answers
The triangles ΔABE and ΔDCE are congruent to each other by the SAS postulate. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles are ΔABE and ΔDCE.
In triangles ΔABE and ΔDCE
AE = EC (given)
∠AEB = ∠DEC (vertically opposite angles)
BE = DE (midpoint theorem)
The triangles ΔABE and ΔDCE are congruent to each other by the SAS postulate. Then the correct option is B.
More about the triangle link is given below.
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Related Questions
In a math class with 19 students, a test was given the same day that an assignment was due. There were 10 students who passed the test and 11 students who completed the assignment. There were 6 students who failed the test and also did not complete the assignment. What is the probability that a student chosen randomly from the class passed the test and completed the homework?
Answers
Answer:
8/19
Step-by-step explanation:
The probability that a student is chosen randomly from the class passed the test and completed the homework will be 0.1637.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
In a math class with 19 students, a test was given the same day that an assignment was due.
There were 10 students who passed the test and 11 students who completed the assignment.
There were 6 students who failed the test and also did not complete the assignment.
Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be
The number of the student who has done at least one assignment or passed the test is 19 - 6 = 13
n(A) = passes student
n(B) = given assignment
Then we have
[tex]\rm n(A \cap B) = n(A) + n(B) - n(A \cup B) \\\\n(A \cap B) = 10 + 11 - 13\\\\n(A \cap B) = 8[/tex]
Then the probability will be
[tex]\rm P = \dfrac{^8C_2}{^{19}C_2}\\\\P = \dfrac{28}{171}\\\\P = 0.1637[/tex]
More about the probability link is given below.
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Last year, the mean running time for a certain type of light bulb was 8.5 hours. This year, the manufacturer has introduced a change in the production method. A random sample of 40 of the new light bulbs has a mean running time of 8.7 hours with a standard deviation, s, of 0.5 hours. At the 0.05 significance level, test the claim that the mean running time of the new light bulbs is greater than last year’s mean of 8.5 hours. a) State the null and alternative hypotheses symbolically. b) Which test procedure is appropriate to perform the required hypothesis test? c) Compute the value of the test statistic. d) Determine the P-value or provide the rejection region. Please round your answers to three decimal places. e) Should you reject the null hypotheses or not? f) What is your conclusion about the hypothesis test?
Answers
Answer:
H0 : μ = 8.5
H1 : μ > 8.5
1 sample t test ;
Test statistic = 2.53
Pvalue = 0.994
No, we fail to reject the Null ;
There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ > 8.5
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(8.7 - 8.5) ÷ (0.5 / sqrt40)
Test statistic = 2.53
The Pvalue :
P(Z < 2.53) = 0.9943
Pvalue = 0.994
Decison region :
Reject H0 ; if Pvalue < α
0.9943 > 0.05 ; We fail to reject the Null
1 Femando exercised for twenty-five and
six-tenths minutes on Thursday. He exercised for
thirty and five-hundredths minutes on Friday. He
exercised eighteen and four-tenths minutes on
Saturday. How many total minutes did Fernando
exercise those three days?
A 74.5 C 73.85
B 73.15 D 74.05
Answers
Allalslkskq
Malik
5. Laney is 4 feet 8 inches tall. There are 2.54
centimeters in 1 inch. What is Laney's height in
centimeters?
A. 22.05
B. 96.8
C. 142.24
O D. 160.32
will mark brainlest
Answers
When x=5, which expression has the greatest value?
A. 2x+6
B. 3x+2
C. 4x−5
D. 5x−10
Choose one correct answer.''
Answers
Answer:
b. - 3x+2
Step-by-step explanation:
Which of the following would NOT be a probability?
0.23
7
15/45
2/3
Answers
Answer:
7
Step-by-step explanation:
7 is a whole number and not a probability
0.5 to the power of 5. help
Answers
Answer:
Very simple. 0.03125
Step-by-step explanation: 0.5x0.5x0.5x0.5x0.5=0.03125
Will give brainliest for correct answer, ASAP
Answers
Answer:
I would say A
Step-by-step explanation:
Its way off by itself
Select the correct answer. Which statement is true about the y-intercept of a quadratic function? A. A quadratic function can only have one y-intercept. B. A quadratic function can have up to two y-intercepts. C. The y-intercept is also called a zero of the function. D. The y-intercept is located at the point where the value of y is 0.
Answers
Answer:
A. A quadratic function can only have one y-intercept.
Step-by-step explanation:
hope this helps. p.s. i really need brainliest :)
Answer:
A
Step-by-step explanation:
i will give lots of points for these 4 answers(25 points)
Answers
Answer:1
Step-by-step explanation:
Suppose the population is all VCU students who track their steps each day. Among these students suppose the mean number of steps per day is 8989 with a standard deviation of 688. There are a few students who take many steps per day, and hence the distribution is skewed heavily to the right. If a simple random sample of 169 VCU students who track their steps each day is selected and the number of steps per day is determined for each, describe completely the sampling distribution of , the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Answers
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 8989 and standard deviation 52.92.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean number of steps per day is 8989 with a standard deviation of 688.
This means that [tex]\mu = 8989, \sigma = 688[/tex]
Describe completely the sampling distribution of the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Sample of 169 means that [tex]n = 169[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean [tex]\mu = 8989[/tex] and standard deviation [tex]s = \frac{688}{\sqrt{169}} = 52.92[/tex].
x = 1 + root 2 , find the value of (x - 1/x )^3
Answers
Answer:
-20 + 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
A rectangular fish tank is 2m long, 1m wide and 1m deep. How many litres of water will it hold?
Answers
Answer:
2000 litres
Step-by-step explanation:
find the volume
v =2m×1m×1 m
= 2 m3
1m3 =1000litres
2m3=????
cross multiply
2m3 ×1000litres
1m3
Ans = 2000litres
prove triangle congruence part 1 e
Answers
9514 1404 393
Answer:
4. "corresponding angles"
Step-by-step explanation:
We presume you're looking for an error in the proof.
The error is in Reason 4. The reason shown refers to "alternate interior" angles, but names "corresponding" angles.
The proof will be correct if the wording "alternate interior" is replaced by "corresponding" in Reason 4.
Find the measure of 2.
Answers
Answer:
115
Step-by-step explanation:
When two parallel lines are intersected by a third line, the angles on both parallel lines are congruent.
Knowing this we can determine that angle 1 is 65 degrees.
Additionally, we know that angle 1 + angle 2 = 180 degrees.
From there we can substitute the measures to determine that 65 + x = 180 and x = 115
PLZ HELP PLZ HELP PLZ HELP WILL GIVE BRAINLY
Answers
Answer:
Steps 4 and 5
Step-by-step explanation:
Paula divided both sides in 4 and 5 to keep the equations equal.
Hope that this helps!
B is answer r
What is the measure of angle x? х 59: a. 120 b. II c. 121
Answers
Answer:
option (C) 121° is right answer
FIND THE PERIMETER OF THE TRAPEZOID HELPPP MEEEE
Answers
Answer:
18.9
Step-by-step explanation:
hope this helps have a great day
A Swordfish can weigh up to 1,400 kilograms. A human weighs 70 kilograms. How many humans weigh the same as a Swordfish? (GIVING BRAINLIEST)
Answers
Answer:
20
Step-by-step explanation:
1400/70 = 20
Answer: 20
Answer:
about 20 humans
Step-by-step explanation:
If a human weighs 70 kilograms, it takes about 20 to weight the same as the swordfish
Help this type of work confuses me
Answers
Answer/Step-by-step explanation:
Given:
-x + 3x + 1 + 4(x + 2) = 54
To solve, first open the bracket by applying the distributive property. Multiply every term you have in the bracket by 4
-x + 3x + 1 + 4x + 8 = 54
Add like terms together
6x + 9 = 54
Subtract 9 from each side
6x = 54 - 9
6x = 45
Divide both sides by 6
x = 45/6
x = 7.5
Select the object with a mass less than 1 kilogram. A.Banana B. Pencil C. Sunglasses D. Dog
Answers
Answer:
B. A pencil
Hope it works
giving brainliest !!!!
Answers
Answer:
Step-by-step explanation:
What are the options
Answer:
what are the options??
Step-by-step explanation:
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Seventh Grade Eighth Grade Total Yes No Total
Answers
Answer:
8th grade!
Step-by-step explanation:
Jane ran 72 miles in 6 days. Then she tripled her rate. How long would it take her to travel 648 miles at the new speed?
Plz help.
Answers
Answer:
18 days
Step-by-step explanation:
72/6=12 miles per day
12*3=36
648/36=18 days
Select all the expressions that equal 3^4
A. 7
B. 4^3
C. 12
D.81
E. 64
F.9^2
Answers
Answer:
D, F
Step-by-step explanation:
3^4 is 81, D and F are both equal to 81.
2/3 (9m - 6) = 20 solve for m
Answers
Answer:
m=4
Step-by-step explanation:
can i have brainllest
Can someone help me?
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
This is all about number sense: ordering and naming numbers. If you know your multiplication tables and a few key vocabulary words, that's all you need.
1a. perfect square
1b. irrational number
1c. greater than
__
2a. less than; greater than
2b. perfect square
2c. approximation
__
3a. square root
3b. square root
3c. approximation
3d. order; less than; less than
_____
When you fill in the blanks, the statements pretty much explain themselves.
__
Additional comment
For positive numbers, square and square root are operations that preserve order. That is, the square of a larger number is larger than the square of a smaller number. Likewise, the square root of a larger number is larger than the square root of a smaller number. Here, ...
81 > 64 > 44 ⇔ √81 > √64 > √44.
If a number is not a perfect square (a number multiplied by itself), then its square root is irrational.
A test has 2 multiple choice questions, each with five choices. What is the probability of guessing the correct answer to both questions?
Answers
Find the area of the polygon in square units.
Answers
Answer:
I wanna say 18 but I'm not to sure
Beth is putting liquid fertilizer on the plants in three flower pots her measuring Spoon holds 1/8 teaspoon the directions say to put 3/8 teaspoon out of fertilizer in each pot how many times will Beth need to fill the measuring spoon to fertilize the plants in the three pots Bethel need to fill the measuring spoon _____ times
Answers
Answer:
9
Step-by-step explanation:
She will need to fill the measuring spoon 3 times for each pot since 1/8 *3 is 3/8. Multiply the 3 by 3 since there are three pots to get 9 .