The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
From the given figure we need to identify the complementary angles.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
By complementary angles concept:
From the figure, ∠AEG+∠CEG=90°
∠AEF+∠FED=90°
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
To learn more about the complementary angles visit:
https://brainly.com/question/15592900.
#SPJ5
11. Mary just received her paycheck and would like to cash it. She does not have a checking account, where should she go to cash it? *
Answer:
Cash it at the issuing bank (this is the bank name that is pre-printed on the check)
Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)
Cash the check at a check-cashing store.
Deposit at an ATM onto a pre-paid card account or checkless debit card account.
Step-by-step explanation:
Answer:
Amscot?
Step-by-step explanation:
Suppose that Smartphone A has 256 MB RAM and 32 GB R OM, and the resolution of its camera is 8 MP; Smart- phone B has 288 MB RAM and 64 GB R OM, and the resolution of its camera is 4 MP; and Smartphone C has 128 MB RAM and 32 GB R OM, and the resolution of its camera is 5 M P . Determine the truth v alue of each of these propositions. a) Smartphone B has the most RAM of these three smart- phones. b) Smartphone C has more R O M o r a higher resolution camera than Smartphone B. c) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A. d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera. e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
Answer:
A.) TRUE
B.) TRUE
C.) FALSE
D.) FALSE
E.) FALSE
Step-by-step explanation:
Given that :
SMARTPHONE A:
RAM : 256 MB
ROM : 32 GB
CAMERA RESOLUTION : 8 MP
SMARTPHONE B:
RAM : 288 MB
ROM : 64 GB
CAMERA RESOLUTION : 4 MP
SMARTPHONE C:
RAM : 128 MB
ROM : 32 GB
CAMERA RESOLUTION : 5 MP
Determine the truth value of each of these propositions.
A) Smartphone B has the most RAM of these three smart- phones.
TRUE ; 288 > (256 and 128)
B) Smartphone C has more R O M o r a higher resolution camera than Smartphone B.
C ROM > B ROM = FALSE
C CAMERA RESOLUTION > B camera resolution = TRUE
FALSE or TRUE = TRUE
C.) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A.
RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE
TRUE and TRUE and FALSE = FALSE
d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.
CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE
e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
1st statement = FALSE
2nd condition = TRUE
FALSE and TRUE
= FALSE
function rule y=3x-3
Answer:
-15, -9, -3, 3
Step-by-step explanation:
First One:
y =3(-4)-3 is -15
Second:
y= 3(-2)-3 is -9
Third:
y= 3(0)-3 is -3
Last One:
y= 3(2)-3 is 3
suppose that the life distribution of an item has the hazard rate function of what is the probability that
Answer:
that what
Step-by-step explanation:
What is the greatest whole number that rounds to 2, 100when rounded to the nearest hundred? The least whole number?
Answer:
i am pretty sure it would be 8
Step-by-step explanation:
when it rounds to 2 but also rounds to 100, 8 would be the best bet.
multiply the complex number by this complex conjugate.
16. 8+i
17. 3 - 2i
18. -7- 5i
To make a shade of paint called jasper green, mix 4 quarts of green paint with cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
8 quarts
Step-by-step explanation:
no explanation needed this should be correct.
A farmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend.
Which expression uses the distributive property to show equivalent expressions for this situation?
54 + 42 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
54 + 42 = 6(9 + 7)
Answer:
54 + 42 = 6(9 + 7)
Step-by-step explanation:
Using distributive property on the right side of the equality, you multiply 6 and nine and 6 and 7 to get rid of the parenthesis.
Answer:
its the last one
Step-by-step explanation:
Joey made this
graph to show how many incorrect
answers students got on a test. how
many students got 3 answers incorrect?
how do you know?
number of students
Answer:
4 students got three answers incorrectly.
The number of students got 3 answers incorrect is 4.
What is histogram?A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.
Now from the given histogram following informations are extracted-
Number of students got 1 answer incorrect = 2
Number of students got 2 answer incorrect = 3
Number of students got 3 answer incorrect = 4
Number of students got 4 answer incorrect = 1
Number of students got 5 answer incorrect = 2
Thus from above we can conclude that,
Number of students got 3 answer incorrect = 4
Thus, the number of students got 3 answers incorrect is 4.
To learn more about histogram :
brainly.com/question/1593386
#SPJ2
What is the midpoint of the segments with endpoints (3,7) and (9,15)
Answer:
(6,11)
I can confirm that this question is right.
12/2 22/2
(6 , 11)
Brainliest will be given to the correct answer!
The formula for the area of a trapezoid is A = 1/2h (b1 + b2), where h is the height of the trapezoid, and b1 and b2 are the lengths of the bases.
Part A: Solve the formula for h. What is the height of a trapezoid that has an area of 91 cm2 and bases of 12 cm and 16 cm?
Part B: What method would you use to solve the formula for b1? What is the formula when solved for b1?
Part C: What is the length of the other base if one base of a trapezoid is 30 cm, the height of the trapezoid is 8.6 cm, and the area is 215 cm2?
Part D: If both bases of a trapezoid have the same length, can you find their lengths given the area and height of the trapezoid? Explain.
Answer:
A) The height of the trapezoid is 6.5 centimeters.
B) We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex]. [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex]
C) The length of the other base of the trapezoid is 20 centimeters.
D) We can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. [tex]b = \frac{A}{h}[/tex]
Step-by-step explanation:
A) The formula for the area of a trapezoid is:
[tex]A = \frac{1}{2}\cdot h \cdot (b_{1}+b_{2})[/tex] (Eq. 1)
Where:
[tex]h[/tex] - Height of the trapezoid, measured in centimeters.
[tex]b_{1}[/tex], [tex]b_{2}[/tex] - Lengths fo the bases, measured in centimeters.
[tex]A[/tex] - Area of the trapezoid, measured in square centimeters.
We proceed to clear the height of the trapezoid:
1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.
2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.
3) [tex]2\cdot A\cdot (b_{1}+b_{2})^{-1} = (2\cdot 2^{-1})\cdot h\cdot [(b_{1}+b_{2})\cdot (b_{1}+b_{2})^{-1}][/tex] Compatibility with multiplication/Commutative and associative properties.
4) [tex]h = \frac{2\cdot A}{b_{1}+b_{2}}[/tex] Existence of multiplicative inverse/Modulative property/Definition of division/Result
If we know that [tex]A = 91\,cm^{2}[/tex], [tex]b_{1} = 16\,cm[/tex] and [tex]b_{2} = 12\,cm[/tex], then height of the trapezoid is:
[tex]h = \frac{2\cdot (91\,cm^{2})}{16\,cm+12\,cm}[/tex]
[tex]h = 6.5\,cm[/tex]
The height of the trapezoid is 6.5 centimeters.
B) We should follow this procedure to solve the formula for [tex]b_{1}[/tex]:
1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.
2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.
3) [tex]2\cdot A \cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot (b_{1}+b_{2})[/tex] Compatibility with multiplication/Commutative and associative properties.
4) [tex]2\cdot A \cdot h^{-1} = b_{1}+b_{2}[/tex] Existence of multiplicative inverse/Modulative property
5) [tex]\frac{2\cdot A}{h} +(-b_{2}) = [b_{2}+(-b_{2})] +b_{1}[/tex] Definition of division/Compatibility with addition/Commutative and associative properties
6) [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex] Existence of additive inverse/Definition of subtraction/Modulative property/Result.
We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex].
C) We can use the result found in B) to determine the length of the remaining base of the trapezoid: ([tex]A= 215\,cm^{2}[/tex], [tex]h = 8.6\,cm[/tex] and [tex]b_{2} = 30\,cm[/tex])
[tex]b_{1} = \frac{2\cdot (215\,cm^{2})}{8.6\,cm} - 30\,cm[/tex]
[tex]b_{1} = 20\,cm[/tex]
The length of the other base of the trapezoid is 20 centimeters.
D) Yes, we can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. Now we present the procedure to clear [tex]b[/tex] below:
1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.
2) [tex]b_{1} = b_{2}[/tex] Given.
3) [tex]A = \frac{1}{2}\cdot h \cdot (2\cdot b)[/tex] 2) in 1)
4) [tex]A = 2^{-1}\cdot h\cdot (2\cdot b)[/tex] Definition of division.
5) [tex]A\cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot b[/tex] Commutative and associative properties/Compatibility with multiplication.
6) [tex]b = A \cdot h^{-1}[/tex] Existence of multiplicative inverse/Modulative property.
7) [tex]b = \frac{A}{h}[/tex] Definition of division/Result.
170% of what is 166?
Answer:
97.65
Step-by-step explanation:
97.65
Step-by-step explanation
Find the unknown angle measures.
Answer:
x = 9°
y = 119°
Step-by-step explanation:
Given,
y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}
or, y° = 119°
therefore, y° = 119°
Now,
52°+y°+x° = 180°{the sum of angle if triangle is 180°}
or, 52°+119°+x°= 180°
or, 171°+x° = 180°
or, x° = 180°-171°
or, x° = 9°
therefore, x° = 9°
Ralph chase plans to sell a piece of property for 170000 he wants the money to be paid off in two ways -a short-term note at 11% interest and a long term note at 9% interest. Find the amount of each note if the total annual interest paid is 171700
Answer:
There is something wrong with the question because you cannot earn more interest during a year than the principal if you earn only 9% or 11%. You would have to earn more than 100%, so I will do this calculation based on $17,170 (not $171,700) earned in interest per year.
let S = amount received from short term note, and L = amount received from long term note
0.11S + 0.09L = 17170
S + L = 170000
S = 170000 - L
0.11 (170000 - L) + 0.09L = 17170
18700 - 0.11L + 0.09L = 17170
1530 - 0.02L = 0
1530 = 0.02L
L = 1530 / 0.02 = $76,500
S = 170000 - 76500 = $93,500
Find the surface area of the cube shown below 2.3
Answer:
2 2/3 or 8/3
Step-by-step explanation:
Formula for each side = 2/3 x 2/3
2/3 x 2/3 = 4/9
6 sides
4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9
=2 2/3 or 8/3
Answer:
2 2/3
Is the answer
5
4. y = 1
D
1
1
1
I
B
Answer:
not sure what you need but I would be happy to help
solve for z 3=(z+1) write your answers as integers or as proper or improper fractions
Answer:
z=2
Step-by-step explanation:
Just solve
1 + z = 3 (minus 1 on both sides)
z = 2
Plug in
3=(2+1)
3 = 3
3s (s - 2) =12s, please help me this. Thank you!
Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl
Does anyone have the answer?
Answer:
hi to what. good bye???????
In Mario kart the special blocks are programmed to deliver 3 green shells for every 11 bananas.if in the last game characters received 104 more bananas than green shells, how many green shells were received?
Answer:
look im putting this here bc i have to answer 50 questionsfor a quest sdo dont report me ;-;
Step-by-step explanation:
True or false: 8.9 x 10-7 = 0.000 008 9.
Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?
Answer:
You're right!
Step-by-step explanation:
Answer:
Were you right?
Step-by-step explanation:
.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card
24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252
A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.
A) All red cards.
P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)
= 0.03125
B.) at least two red cards.
P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)
= 0.8125
C.) At most 2 red cards.
P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)
= 0.5
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
#SPJ2
Order from least to greatest:
-5/6,0.567,-0.11,-1/4
Answer:
-5/6,-1/4,-0.11,0.567
Step-by-step explanation:
Suppose that minor errors occur on a computer in a space station, which will require re-calculation. Assume the occurrence of errors follows a Poisson process with a rate of 1/2 per hour. (a) Find the probability that no errors occur during a day. (b) Suppose that the system cannot correct more than 25 minor errors in a day, in which case a critical error will arise. What is the probability that a critical error occurs since the start of a day? Keep up to the 6th decimal place in your answer. (c) Suppose the error correction protocols reset themselves so long as there are no more than five minor errors occurring within a 2 hour window. The system just started up and an error occurred. What is the probability the next reset will occur within 2 hours?
Answer:
a
[tex] P(X = 0) = 0.6065 [/tex]
b
[tex]P(x < 25 ) = 1.18 *10^{-33} [/tex]
c
[tex] P(x \le 5 ) = 0.9994 [/tex]
Step-by-step explanation:
From the question we are told that
The rate is [tex]\lambda = \frac{1}{2}\ hr^{-1}[/tex] = 0.5 / hr
Generally Poisson distribution formula is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]
Generally the probability that no error occurred during a day is mathematically represented as
Here t = 1 hour according to question a
So
[tex]P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Hence
[tex][tex]P(X = 0) = \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]
=> [tex] P(X = 0) = 0.6065 [/tex]
Generally the probability that a critical error occurs since the start of a day is mathematically represented as
Here t = 1 hour according to question a
So
[tex]P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Hence
[tex]P(x \ge 25 ) = 1 - P(x < 25 )[/tex]
Here
[tex]P(x < 25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]
=> [tex]P(x < 25 ) = \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]
[tex]P(x < 25 ) = 0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]
[tex]P(x < 25 ) = 0.6065 + \cdots + 6.0*10^{-32}[/tex]
[tex]P(x < 25 ) = 1.18 *10^{-33} [/tex]
Considering question c
Here t = 2
Gnerally given that the system just started up and an error occurred the probability the next reset will occur within 2 hours
[tex]P(x \le 5 ) = \sum_{n=0}^{5} \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]
=> [tex]P(x \le 5 ) = \frac{(0.5 * 2) ^ 0 e^{- 0.5 * 2 }}{0!} + \cdots + \frac{(0.5 * 2) ^ 5 e^{- 0.5 * 2 }}{5!}[/tex]
=> [tex]P(x \le 5 ) = \frac{1* 2.7183 }{1 } + \cdots + \frac{1 *2.7183 }{120}[/tex]
=> [tex]P(x \le 5 ) = 2.7183 + \cdots + 0.0226525[/tex]
[tex] P(x \le 5 ) = 0.9994 [/tex]
PLZ HELP I WILL MARK BRAINLEST!
Answer: 16.4cm
Step-by-step explanation: 4cm=20km
82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm
Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup
2.4 Section Exercise 6
In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had
less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
Part: 0/2
E
Part 1 of 2
(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.
of the meals studied, 1% of them had less than 10 grams of fat.
Answer:
10%
Step-by-step explanation:
(a) What percentage of meals had less than 10 grams of fat?
(b) Round your answer to the nearest tenth of a percent.
To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.
(A) Total number of meals = 550
Number of meals having less than 10 grams of fat = 77
Percentage of meals having less than 10 grams of fat = 77/550 × 100
= 0.14 × 100 = 14%
(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').
The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%
Which of these is a biomorphic shape? Choose the answer.
O a capital letter W
O a microphone
an outline of a pine tree
O a pyramid
Answer:
Option C: an outline of a pine tree
Step-by-step explanation:
Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.
A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.
Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".
Thus, it is a bimorphic shape.
Answer:
C. an outline of a pine tree
Step-by-step explanation:
I just took the test!
The population of a city is 490,000 and is increasing at a rate of 2.75% each year. Approximately when
will the population reach 980,000?
The population will reach 980,000 in years.
Answer:
The population will reach 980,000 in 26 years approximately.
Step-by-step explanation:
Initial Population of city = 490000
Rate of increase in population = 2.75%
We are supposed to find Approximately when will the population reach 980,000
Formula : [tex]N(t)=N_0(1+r)^t[/tex]
N(t)= population after t years
[tex]N_0=[/tex] Initial population
t - time
r = rate of interest in decimals
So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]
t=25.55
So, the population will reach 980,000 in 26 years approximately.
What is the value of x?
20
35
60
70
Answer:
20°
Step-by-step explanation:
Step 1:
x + 40° = 3x Vertical ∠'s
Step 2:
40° = 2x Subtract x on both sides
Step 3:
x = 40° ÷ 2 Divide
Answer:
x = 20°
Hope This Helps :)