Answers
Measure of angle M is 76°, angle N is 76° and side LN is 18 in.
According to figure,
LM = 18 in
∠NLM = 28°
In triangle LMN
LN = LM
= 18 in
Therefore, ∠LMN = ∠LNM = x (LN = LM)
∠LMN + ∠NLM + ∠LNM = 180°
x + 28 + x = 180
2x + 28 = 180
2x = 180 - 28
2x = 152
x = 152/2
x = 76
Hence, ∠M = ∠N = 76°.
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Related Questions
. A bag of marbles contains a ratio of 4 red marbles to 13 more blue marbles than
red marbles. If there are 51 blue marbles, how many red marbles are in the
bag?
Answers
The number of red marbles in the bag is 12.
We are given a bag. The bag contains two types of marbles. There are red and blue marbles in the bag. The ratio of marbles is four red marbles to thirteen more blue marbles than red marbles. Let the ratio of the number of red marbles to that of blue marbles be denoted by the variable "r".
r = 4/(13 + 4) = 4/17
The number of red marbles and blue marbles in the bag is 4x and 17x, respectively, where "x" is a variable. We know that the number of blue marbles in the bag is 51. We can write the following equation to find the value of "x".
17*x = 51
x = 51/17 = 3
Hence, the number of red marbles is 4x = 4*3 = 12.
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The position of a 50 g oscillating mass is given by x(t)=(2. 0cm)cos(10t−π/4), where t is in s. If necessary, round your answers to three significant figures. Determine:.
Answers
Answer:their equal to 150
Step-by-step explanation:
took the test
Nelson’s birthday party will be at the skating rink. The cost for each person is $ 25 . The cost of the room for the party is $ 50 . The function C ( x ) = 25 x + 50 models the total cost, C , where x is the number of people at the party. What is the maximum number of people who can be at the party for a budget of $ 600 ?
Answers
Answer:
24 people
Step-by-step explanation:
600 = 25x + 50 Subtract 50 from both sides of the equation
550 = 25x Divide both sides by 25
24 = x
Answer: x = 22
Step-by-step explanation:
We need to use trial and error for this.
20 - 25 seems like a reasonable range to substitute x with.
C(20) = 25(20) + 50
C(20) = 500 + 50
C(20) = 550.
This means that 20 is not the answer. Let's try 21.
C(21) = 25(21) + 50
C(21) = 525 + 50
C(21) = 575.
This means that 21 is also not the answer. let's try 22.
C(22) = 25(22) + 50
C(22) = 550 + 50
C(22) = 600.
This means that 22 is the maximum number of people for a budget of $600.
x = 22
EMERGENCY,
THIS IS QUESTION 1, GO ANSWER MY OTHER ONES UP UNTIL 10 ON MY PROFILE TOO. HELP ASAP
Answers
Answer:
A) Slope = 9/4, y-intercept = 2Step-by-step explanation:
The y-intercept is the y-coordinate with x = 0, this is 2 on the table:
b = 2,Use one more of points, (2, 6.5) to find the slope:
m = (6.5 - 2)/2 = 4.5/2 = 9/4The line is:
y = 9/4x + 2,Correct choice is A.
PLEASE HELP URGENT
Solve for the roots in simplest form using the quadratic formula:
4x^2+4x=3
Answers
Answer: x = 1/2 , -3/2
Step-by-step explanation:
Use the quadratic formula:
a=4
b=4
c=-3
x= -4 +- sqrt16-4(4)(-3) / 8
= -4 +- sqrt16+48 / 8
= -4 +- sqrt64 / 8
= -4 +- 8 / 8
Split it to (-4 + 8) / 8 and (-4 - 8) / 8
4/8 and -12/8 = 1/2 and -3/2
Betsie is going to buy 250 envelopes
Here is some information about the cost of the envelopes
Letters2go Pack of 25 envelopes for £3.19
Value World Pack of 10 envelopes £1.99 Buy 2 packs get one free
Betsie wants to buy the envelopes for the best possible price
Which shop should Betsie buy the 250 envelopes from?
You must show how you got your answer.
Answers
At Letter2go, Betsie can purchase the 250 envelopes. As an example, 250 envelopes cost £31.9 in the Letter2go store but £33.17 in the Value World store.
What is an Expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
From Letters 2 go:
Pack of 25 envelopes for £3.19
If we look at the price of envelopes at shop 1, which is Value World,
The cost of a pack of 10 envelopes is £1.99.
Also, buy 2, get one is free
Which means that 1 pack = £1.99
2 packs = 2×£1.99 = £3.98
Also, with 2 packs Betsie get 1 pack free
So, Betsie gets 3 packs for £3.98.
1 pack = 10 envelopes
3 packs = 30 envelopes.
Hence,
In shop Value World:
30 envelopes = £3.98
1 envelope = £3.98/30
250 envelopes = (3.98/30)×250
So, 250 envelopes will cost £33.17 in Shop Value World.
From shop Letter 2 go:
25 envelopes = £3.19
1 envelope = £3.19/25
250 envelopes = (3.19/25)×250
Therefore, 250 envelopes in Store Letter 2 go should cost £31.9.
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8x + 18 = _ (4x + 9)
Answers
Answer:
2
Step-by-step explanation:
we can try 2 to distribute since 18 divided by 9 is 2
2(4x+9)
2(4x)+2(9)
8x+18
Hopes this helps please mark brainliest
PLEASE HELP ASAP IM BEGGING pics below.
Please answer like a) (answer) and b) (answer)
TYSM
Answers
The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh).
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given volume expression,
V= lwh
a)
l = V/(wh)
l = 8/(2 × 4) = 1
b)
V= lwh
l = V/(wh)
Hence "The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh)".
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What number needs to be added to this set of numbers so the mean is 6? {3,4,7}
Answers
The finalized set is { 3 , 4 ,7 , 10 }
How is mean calculated ?Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set.
The given set is {3,4,7}
3 + 4 + 7 =14
To calculate the mean we divide the sum by the number of numbers present
So we must add 10
because if we add 10 to the set we get
3 + 4 + 7 + 10= 24
Thus the mean = [tex]\frac{24}{4}[/tex]
When we divide these two numbers we get :
mean = 6
Thus the finalized set is { 3 , 4 ,7 , 10 }
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the number of people infected with coronavirus doubles every 3.3 days. how many days does it take for the u.s. to go from one case (patient zero) to all 330,000,000 americans being infected.
Answers
It will take 96.7 days for the whole US population to get infected.
Given information;
The number of people infected with coronavirus doubles every 3.3 days as following;
1 → 2 → 4 → 8 → 16 → 32 → 64 → . . . . . . . . . . . . → 333,000,000
Let 'x' denotes number of 3.3 days passed the for cases 333,000,000.
⇒ [tex]2^x = 333,000,000[/tex]
For the above equation applying log on both sides. we get;
x(In 2) = In (330,000,000)
x = In (330,000,000)/(In 2)
x = 28.3
Therefore;
So, total no. of 3.3 days passed = 1 + x
= 1 + 28.3
= 29.3
And number of days for 1 to 330,000,000 = 29.3 * 3.3 days
= 96.7 days
Hence, it will take 96.7 days to infect the total population in US.
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what's 182.91% as a decimal
Answers
Answer:
1.8291
Step-by-step explanation:
Nachelle has a points card for a movie theater.
She receives 50 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Nachelle can make to earn her first free movie ticket.
Answers
Step-by-step explanation:
#=number
Identify what is in the inequalityNachelle gets 50 points when signing up: 50+#x=#
Nachelle earns 12.5 points for each visit: 50+12.5x=#
Nachelle need at least 170 points: 50+12.5x=170
Now you have your inequality, solve.Subtract 50 from both sides: 50-50+12.5x=170-50
50-50 cancel out so now your left with 12.5x=170-50
Subtract the 170 and 50: 12.5x=120
Divide 12.5 from both sides: 12.5x÷12.5=120÷12.5
12.5x÷12.5 cancel out so the inequality is now x=120÷12.5
Divide 120 and 12.5: x=9.6
Since there is no such thing as 9.6 visits, round to 10.
Answer: Nachelle needs 10 visits in order to get her first free movie ticket.The coordinates of Quadrilateral EFGH and its image, Quadrilateral E'F'G'H', are given below.
H(-4, 2) H'(-4,-1)
Quadrilateral EFGH E(-5, 5) F(-3, 4) G(-2, 1) Quadrilateral E'F'G'H' E'(-5, 2) F'(-3, 1) G'(-2,-2)
Which single transformation could be used to map Quadrilateral EFGH to Quadrilateral E'F'G'H'?
O a translation of 3 units to the right
O a translation of 3 units up
O a translation of 3 units down
O a translation of 3 units to the left
Answers
Option (3) is correct. A translation of 3 units down.
What is translation of points?
A point's linear displacement from its starting position is referred to as translation. In an x - y coordinate plane, a point's coordinates are labelled with respect to the origin by first indicating the horizontal position and then the vertical position.
Given: The coordinates of Quadrilateral EFGH and its image, Quadrilateral E'F'G'H', are given below,
E(-5, 5) ⇒ E'(-5, 2)
F(-3, 4) ⇒ F'(-3, 1)
G(-2, 1) ⇒ G'(-2, -2)
H(-4, 2) ⇒ H'(-4, -1)
From above we can see that the y - coordinate of each point is decrease by 3.
Which is the translation of 3 units down.
Therefore, the single transformation a translation of 3 units down, could be used to map Quadrilateral EFGH to Quadrilateral E'F'G'H'.
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What is the slope of the line?
4x -1 =3y + 5
Choose 1 answer:
B
413
2/3
32
314
Answers
3y = 4x - 6
y = 4/3x - 2
In the base equation, m is the slope. The m in this specific line equation would be 4/3
Slope: 4/3
Answer:
4/3
Step-by-step explanation:
so in y=mx+b form.
m=slope b=y-int
Subtract 5 from both sides to isolate y on a side.
4x-6=3y
Divide both sides by 3 to isolate y on one side.
(4/3)x-2=y
y=(4/3)x-2
m=4/3
b=-2
So the slope is 4/3
Antonio is ready to move out of his parent's house and live on his own. He found a great apartment that has all utilities included. His job as an assistant plumber requires him to have a car, but his hours are flexible enough to give him time on the weekends to have fun with his friends. What is the best way Antonio's budget can be modified to help him save enough for the $200 down payment and make the $500 monthly rental payment?
Monthly Budget
Old Budget
New Budget
Income
Wages
$1500
$1500
Expenses
Food
Cell Phone
Savings
Entertainment
Car Expenses
.
$250
$175
$200
$200
$300
.
$____
$____
$____
$____
$____
Net Income
$375
$____
a.
Antonio could keep his budget the same and hope he gets a raise at work.
b.
Antonio could reduce his monthly entertainment expenses by $100 to help pay the monthly rent. He could take $200 out of savings once for the deposit.
c.
Antonio could live at his parent’s house for one more month and save his net income. After one month of living at home, he would have enough additional money for the deposit and one year’s rent at the apartment.
d.
Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.
Please select the best answer from the choices provided
A
B
C
D
Answers
The best way Antonio's budget can be modified to help him save enough is D. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit
What is a budget?A budget is an estimate of revenue and expenses for a given period of time that is usually compiled and re-evaluated on a regular basis. A budget expresses intended expenditures as well as recommendations for how to meet them with resources.
Saving is the portion of one's income that is not spent on current expenses. In other words, it is money set aside for future use rather than being spent immediately. An expense is a cost incurred by businesses in the course of their operations. Wages, salaries, maintenance, rent, and depreciation are expenses.
In this case, the way to reduce the budget is illustrated.
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Help Plssss!!!!!!!!!!
Answers
9) Give the following expression in index form
a) √3
Answers
Answer:
nStep-by-stepkbexplanation:
Create a list of steps, in order, that will solve the following equation.
(x - 5)² = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides
Answers
Answer:
25
Step-by-step explanation:
5x5 =25 25-5=20
I have 3 triangles and 1 circle. I want to add circles so that it is more likely that I will randomly choose a circle than a triangle. What's the smallest number of circles I should add?
Answers
Answer:
3
It should be 3 because well how to explain
How many numbers in the set of consecutive integers from 1 to 99, Inclusive, have 3 as a factor but do not have 6 as a factor?
Answers
Answer:
17
Explanation:
The numbers that work for this are 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93, 99.
So there are 17 numbers that work.
David works as a salesman and earns a basic salary of Rs 16 000 per month plus 8 % commission on his sales. If his total sales were rs 55 000 during last month, find his earnings for that month.
Answers
Answer:
$20400
Step-by-step explanation:
8 percent *55000 =
(8:100)*55000 =
(8*55000):100 =
440000:100 = $4400
16000+4400 =$20400
Whitch set of paper towels is the better buy? 8 rolls for $8.73 or 14 rolls for $12.32?
Answers
Write an equation for the translation of y = 4/x that has asymptotes at x = - 3
x and y = - 4.
Answers
Equation for the translation of y=4/x that has the given asymptotes.
x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]
Given,
In the question:
The translation of y = 4/x that has asymptotes at x = - 3 and y = - 4.
Write an equation:
Now, According to the question:
What is asymptote?
A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.
According to the above statement:
The equation will be :
y = [tex]\frac{4}{x+3} -4[/tex]
Hence, Equation for the translation of y=4/x that has the given asymptotes.
x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]
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Ms. Jackson is buying scientific calculators for her math class.
She tells the principal that a classroom set of 30 calculators would
cost $388.50. The principal wants to know the cost of purchasing
calculators for the entire school. How much would it cost to buy 300
calculators?
Answers
3. Ben played at a friend's house for 2 hours
35 minutes. Later he played at a park for
1 hour 10 minutes. He played for another
1 hour 20 minutes in his backyard. How
long did Ben play in all?
Answers
A line has the equation y - 4 = 3x + 11 Work out the gradient and the y-intercept of the line.
Answers
Answer: Gradient is 3 and y-intercept is 15
Step-by-step explanation:
by rearranging the equation so y is on 1 side we get:
y = 3x + 15
the gradient is the number before the x (coefficient)
the y intercept is the number that is not multiplied by the x, in this case 15
Graph the line of the given equation
Answers
Answer:
Step-by-step explanation:
See the attached image
Determine the new coordinate location after (-3,7) on the graph y=-x^2 has undergone the following transformation: A reflection in the x axis followed by a vertical translation of 4 units up. What is the new coordinate?
Answers
Check the picture below.
notice the point, reflected over the x-axis and then shifted upwards, notice the parabola mentioned above, nowhere near it.
Giving 50 Points..!!
Estebe enlarged a 4 inch by 6 inch photograph by a scale factor of 5/2. What are the new dimensions of the photograph
Answers
Answer:
New photograph is 10 in by 15 in===================
Initial dimensions4 in and 6 in,and
Scale factor k = 5/2.Find new dimensionsw = 4*5/2 = 10 inl = 6*5/2 = 15 inYou work in a jewelry store where you make a 13% commission for every sale. If you sell a $1350 ring, what will you make in commission?
Answers
Answer:1174.5
Step-by-step explanation:
.13 times 1350= 175.5$ so 1350-175.5= 1,174.5$