Answer:
D. m<A = 61°, m<B = 57°, m<C = 61°
Step-by-step explanation:
The sum of all interior angles of a triangle is always equal to 180°.
Therefore, any set of given angle measurement of a triangle should sum up to 180°.
From the options given, the following angle measurements given in option D,
,m<A = 61°, m<B = 57°, m<C = 61° cannot be angle measurements of ∆ABC. This is because they sum up to give 179° instead of 180°.
Answer:
The answer is D
Credits to the person above me.
; )
Step-by-step explanation:
EDGE 2021
Find the solution of this system of equations
2x - 2y = -20
-2x + 4y = 14
Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?
Answer:
Age of Anna = x years
Age of Jane i.e. Anna's sister = (x-y) years
a, What was the sum of their ages two years ago?
Solution,
Age of Anna two years ago = (x-2) years
Age of Jane two years ago = (x-y-2) years
Sum of their ages = x - 2 + x-y-2 = 2x - y -4
b. What will be the sum of their ages in 3 years?
Solution,
We have,
Present age of Anna = x years
Present age of Jane = (x-y) years
So,
Age of Anna after 3 years = (x+3) years
Age of Jane after 3 years = (x-y+3) years
Therefore,
Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6
c. How old was Anna when Jane was born?
Solution,
Here,
According to question,
Jane is y years younger than Anna
So, Anna was y years when Jane was born.
[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]
find the slope of (6,3) and (5, -1)
Answer:
the slope is 4
Step-by-step explanation:
the slope is found by subtracting the y values for the numerator and then subtracting the x values for the denominator
y values -1-3=-4
x values 5-6=-1
slope=-4
slope=4
-1
Answer:
4
Step-by-step explanation:
Formula for solving for the slope of two points-
(y2-y1)/(x2-x1)
(-1-3)/(5-6)=
-4/-1=
4/1=
4
1+1+2+2+8+19+1234385993 hehe i will brainlest
Answer: 1234386026
Step-by-step explanation:
Answer:
1,234,386,030
Step-by-step explanation:
Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1
Answer:
Step-by-step explanation:
x = 0
x+3 = 0
x = -3
The answer is x could be 0 or -3
Answer:
c on edge
Step-by-step explanation:
4x-3=2x+7 Someone Help Please
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
subtract 2x from both sides
2x-3=7
add 3 to both sides
2x=10
divide both sides by 2
x=5
Answer:
x = 5
Step-by-step explanation:
Original Equation:
4x - 3 = 2x + 7
Add 3 to both sides
4x = 2x + 10
Subtract 2x from both sides
2x = 10
Divide both sides by 2
x = 5
Hope this helps :)
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You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
16. Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
17. Joseph has 30 coins and they are all either dimes or nickels. The total $2.15. How many dimes does he have?
18. A golfer completed 18 holes with a total of 79 strokes. On each hole he met par, which was either four or five each time. How many holes were played in four strokes?
19. There are two numbers. The difference between them equals six, and one of the numbers is three times the other number. There are two pairs of numbers that satisfy these descriptions, What are they?
20. There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Answer: Here are the answers. I walked you through 16 in my answer.
16. 3x=2y
1 =y-x
x=2 and y=3
17. $2.15=.10d+.05n
d=30-n
There are 17 nickels and 13 dimes
18. 18=4x+5y (since that's the total amount of holes and each par is either 4 or 5 strokes each)
4x=79-5y (since there are 79 total strokes and each was either 4 or 5)
No solution
Step-by-step explanation: For each problem, you have to write down the information you know, then define variables for the unknown. For 16, for example, they tell you that one number, which I have chosen to call x, is equal to two times the larger number, which I have chosen to name y. So, you'd have an equation that equals x. It also tells you that you need three times x, and two times y, which can be rewritten as 3x and 2y. In other words, 3x=2y. That said, you can move on to the next equation. Since you know the difference is 1, in other words, y-x=1, or y=x+1 ( I isolated y by adding x to both sides), you can put that into your equation as well. From there, I used the substitution method to solve.
3x=2y
so 3x=2(x+1)
y=x+1
3x=2(x+1) --- orig equation
3x=2x+2 --- distributive property (Multiplied x+1 by 2)
x=2 ---- subtracted 2x from both sides
**Now, to find y, you can substitute x into either equation. Since I know y=x+1 where x=2, I know that y must be 3. To check this, you can graph on Desmos. The lines should intersect at (2,3).
For 18, the lines are parallel so they never intersect. There is no solution.
answer:
16. 3x = 2y, 1 = y - x → 2, 3
17. 2.15 = 0.10d + 0.05n, d = 30 - n → 13 dimes and 17 nickels
18. 18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes
19. 3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3
20. a = 3/5b, 2/5b = 4 → Pair 1: 6 and 10, Pair 2: 10 and 6
i hope this helps!! ♡
Monica was baking A recipe for banana nut muffin with her mom the recipe calls for 3/4 cups of walnuts but they only have 1/4 cup measuring scoop how many 1/4 cup scores will Monica need in order to get the correct measurements of walnuts
Answer: She will need three cups scores.
Step-by-step explanation:
3/4 divided by 1/4 is three.
263/4 options 65r2 64r7 65 65r3
Answer:
65R3
Step-by-step explanation:
260/4 is a whole number, so then there would be a remainder 3. The only one with a r3 is D.
Hope this helps :D
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.
Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
A carpenter is building a rectangular shed with a fixed perimeter of 68 ft. What are the dimensions of the largest shed that can be built? What is its area?
The dimensions of the largest shed are _____ by _____.
The area of the largest shed is _____.
Answer:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
Step-by-step explanation:
Given that:
Fixed perimeter of the rectangular shed = 68 ft
To find:
The dimensions of the largest shed that can be built = ?
And
Area of the largest shed that can be built = ?
Solution:
First of all, let us have a look at the formula for perimeter of a rectangular shape shed:
Perimeter of a rectangle = 2 [tex]\times[/tex] (Length + Width)
68 = 2 [tex]\times[/tex] (Length + Width)
Length + Width = 34
The largest possible values are only in the case when the rectangle is a square.
i.e. Length = Width
Therefore values of length and width are:
Length = Width = [tex]\frac{34}{2} = 17\ ft[/tex]
Area of a square is given by the formula:
[tex]A = Side \times Side[/tex]
[tex]A[/tex] = 17 [tex]\times[/tex] 17 = 289 sq ft
The answer is:
The dimensions of the largest shed are 17 ft by 17 ft.
The area of the largest shed is 289 sq ft.
A great white shark can swim 50 feet below sea level. Which best represents the opposite of the depth the great white shark can swim, resolute value?
No choices given for your question.
An island population of 20,000, grows by 5% each year, compounded continuously. How many inhabitants will the island have in 5 years according to the exponential growth function? Round your answer down to the nearest integer, and do not include the units in your answer.
Answer:
The answer is "25680.508"
Step-by-step explanation:
Use formula:
[tex]A=Pe^{rt}[/tex]
[tex]=20000 \times e^{((0.05) \times (5))}\\\\=20000 \times e^{(.25)}\\\\=25680.508[/tex]
Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value.
(f - g)(-3)
Answer:
(f - g)(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 2
g(x) = x + 1
Step 2: Find
Find (f - g)(x)
Substitute: (f - g)(x) = 4x - 2 - (x + 1)Distribute -1: (f - g)(x) = 4x - 2 - x - 1Combine like terms: (f - g)(x) = 3x - 3Find (f - g)(3)
Substitute: (f - g)(3) = 3(3) - 3Multiply: (f - g)(3) = 9 - 3Subtract: (f - g)(3) = 6Please help it would help alot
Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P', but he does not say what the center of the rotation is. Can you find the center? Explain how you know.
Answer:
eefhhdfbhvfhfajfdhjk,nm?sorry dont knwo
Step-by-step explanation:
help pls !! what is the value of K ?
There are 52 cards in a standard deck of cards, with four of each type of card: Ace ,2,3,4,5,6,7,8,9,10,Jack ,Queen ,King . Let event A be choosing a 7 out of a deck of cards. Identify the numbers of each of the following. Enter the probability as a fraction:
Answer:
The probabilitiy of pulling a seven is 1/13 or 7.69%
Step-by-step explanation:
Im not sure if you wanted just the probability of pulling a seven or if you wanted others as well but to find out the probability you take the total amount of cards, 52, then you take the total amount of 7's in the deck which is 4, one for each card type.
Therefore you get 4/52 or simplified to 1/13 by dividing by 4 on the numerator and the denominator.
The probability is defined as the ratio of favorable outcome to the total number of outcomes. The probability of getting a 7 out of deck of cards is 1 / 13.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
Given that,
The total number of cards = 52
The types of card present in a the deck = 4.
Suppose A be the event of selecting one 7 out of a deck of cards,
Then, the probability of event A can be given as,
P (A) = Number of 7's in the deck ÷ Total number of cards in the deck.
Since, there are four types of cards, the number of 7's in the card is 4.
Thus, P(A) = 4 / 52
=> P(A) = 1 / 13
Hence, the probability selecting one 7 out of a deck of cards is P(A) = 1 / 13.
To know more about probability click on,
https://brainly.com/question/11234923
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A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?
Answer:20 tablets
Step-by-step explanation:
Asked my MD father.
Factorise fully
15x-10
Answer:
15
x
+
10
y
Factor
5
out of
15
x
.
5
(
3
x
)
+
10
y
Factor
5
out of
10
y
.
5
(
3
x
)
+
5
(
2
y
)
Factor
5
out of
5
(
3
x
)
+
5
(
2
y
)
.
5
(
3
x
+
2
y
)
Step-by-step explanation:
what is the value of b and c
Answer:
its 7
Step-by-step explanation:
Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.
Find the volume of the prism
Answer:
do you have an image for that?
Step-by-step explanation:
who was nestor? why is he referred?
Answer:
Answer. Nestor is actually one of the leaders of the Greeks in the Trojan War which figures prominently in Homer's Iliad. He is absolutely not a character in the novel The Merchant of Venice but he has been referred in the extract because he represents wisdom and good moral judgment.
Hope this helps, have a great day/night, and stay safe!
1,320 feet is what fraction of a mile?
Answer:
1/4
Step-by-step explanation:
divide the value in feet by 5280 because 1 mile equals 5280 feet.
Answer:There are 5280 feet in one mile; thus
1320/5280 = 1/4
Step-by-step explanation:
sorry if its not correct }:
(a) Solve 5x - 2 = x + 8
Show clear algebraic working.
Answer:
Required Answer:-[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2=x+8 [/tex]
interchange both sides[tex]{:}\longrightarrow[/tex][tex]\sf 5x-x=8+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x=10 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {10}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {5}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=2.5 [/tex]
How many five-symbol computer passwords can be formed using the letters A to J and the digits 3 to 6
Answer:
3354 ???
Step-by-step explanation:
i think thats right, have a good day! :)
plz give me brainliest if u can
Order the following numbers from least to greatest
-14/3
-5.1
-4
Answer:
-14/3 -5.1 -4
Step-by-step explanation: