Answer:
110°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary:
∠L +∠O = 180°
(2x +10) +(x +20) = 180
3x = 150 . . . . . . . . . . . . . subtract 30
x = 50
Then ...
∠L = (2x +10)° = (2·50 +10)° = 110°
Opposite angles in a parallelogram are congruent, so ...
∠N = ∠L = 110°
The measure of ∠N in parallelogram LMNO is 110°.
What is a parallelogram?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.
In parallelogram LMNO:
∠L + ∠O = 180° (corresponding angles add up to 180°)
Hence:
(2x + 10) + (x + 20) = 180
x = 50°
∠N = ∠O (opposite angles are equal)
∠N = 2(50) + 10 = 110°
The measure of ∠N in parallelogram LMNO is 110°.
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heyo, please don't ignore! i really need help on these questions
Answer:
times
21.12
28
I will pay 11.20 and get back .20 for the half(.5) of a drink box I can't buy
Step-by-step explanation:
‼️‼️‼️WILL MARK BRAINLIEST IF HELPFUL‼️‼️‼️
Answer:
2π(10^2) + 2π(10)(16)
= 2π(100) + 2π(160)
= 200π + 320π
= 520π ft^2
WILL MARK BRAINLIEST! Solve for x given measure of angle 2 is (2x+108) degrees. Thank you!
Answer:
Step-by-step explanation:
∠2 = 2x + 108°
Each of the other two angles in the triangle is
(180° - (2x+108°))/2 = 36° - x
36° - x = 47°
x = -11°
Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Enter the exact answer.
Hint: The distance formula is that distance = rate * time, so for example in one and a half hours, Ben has walked 2 * 1.5 miles.
Amanda catches up to Ben in
Number
hours.
Answer:
25.7minutes
Step-by-step explanation:
D =r×t=2×1.5=3miles
A D=7÷2=3.5
7=1h. 3.5=30minutes.
3.5=30
0.5=x
3.5x÷3.5=15÷3.5
X=4.3
(3.5-0.5)=(30-4.3)
Hence it takes Amanda 25.7minutes to catch up with Ben.
PLEASE HELP
Yesterday the temperature was 6°C. Today it is -5°C. In degrees Celsius, what
is the change in temperature?
Segment JL has endpoints J(-3, -4) and L(7, 6). What are the coordinate of point K, so that point K is on line segment JL and JK = 3/5 JL. Explain.
Answer:
K(3,2).
Step-by-step explanation:
We want to find a point K(x,y).
JK = 3/5 JL.
This means that:
\(K - J = \frac{3(L - J)}{5}\)
We use this to find both the x-coordinate and the y-coordinate of K.
x-coordinate:
x-coordinate of J: -3
x-coordinate of L: 7
\(K - J = \frac{3(L - J)}{5}\)
\(x - (-3) = \frac{3(7 - (-3))}{5}\)
\(x + 3 = 6\)
\(x = 3\)
y-coordinate:
y-coordinate of J: -4
y-coordinate of L: 6
\(K - J = \frac{3(L - J)}{5}\)
\(y - (-4) = \frac{3(6 - (-4))}{5}\)
\(y + 4 = 6\)
\(y = 2\)
The point is K(3,2).
We choose a number from the set {1, 2, 3, . . . , 100} uniformly at random and denote this number by X.
For each of the following choices decide whether the two events in question are independent or not
(a) A = {X is even}, B = {X is divisible by 5}.
(b) C = {X has two digits}, D = {X is divisible by 3}.
(c) E = {X is a prime}, F = {X has a digit 5}. Note that 1 is not a prime number.
(a) Not independent, as the occurrence of X being even affects the probability of X being divisible by 5 and vice versa.
(b) Not independent, as the occurrence of X having two digits affects the probability of X being divisible by 3 and vice versa.
(c) Independent, as the occurrence of X being a prime does not affect the probability of X having a digit 5, and vice versa.
Two occurrences are often considered independent if their occurrence has no impact on the likelihood of their occurrence. The occurrences in (a) and (b) are not independent since one event's occurrence affects how likely the other is. Because the chance of one event in (c) is unaffected by the likelihood of the other, the occurrences are independent in (c).
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount and the second store sells the stereo for $458.40. Which store gives the bigger percent discount? Justify your answer.
The second store gives a bigger percent discount
Explanations:The original price of the stereo = $573
%discount offered by the first store = 16%
The amount the second store sells the Stereo = $458.40
Discount offered by the second store = $573 - $458.40
Discount offered by the second store = $114.60
%Discount = (Discount/Original Price) x 100%
%Discount = 114.60/573 x 100%
%Discount = 20%
%Discount offered by the second store = 20%
The second store gives a bigger percent discount
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
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Please help me important question in image
Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
MARK AS BRAINLIEST!!!
Solve for x. Assume that lines which appear tangent are tangent.
Presumably, x is standing in for the question mark.
The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.
So we have
angle DFE = 1/2 (arc CV + arc DE)
125° = 1/2 (x + 200°)
250° = x + 200°
x = 50°
PLZZZ HELPP EVEN IF I HAVE TO WASTE MY POINTS JUST HELP ME
Answer:
soln,
x=63°
Step-by-step explanation:
yea , 63° is the answer you asked
18.15/ x = 16.5
find the value of x
Answer:
x = 1.1
Step-by-step explanation:
First multiply by x on both sides in order to cancel it from the left side of the equation. After doing this we get 18.15 = 16.5x, from there we can divide by 16.5 on both sides in order to get x alone on the right side of the equals sign. After dividing we get 1.1 = x
The value of the expression 18.15/x = 16.5 is, 1.1
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To find the value of x in the equation 18.15/x = 16.5, we need to isolate x on one side of the equation. We can do this by multiplying both sides of the equation by x:
18.15/x × x = 16.5 × x
On the left-hand side of the equation, the x's cancel out, leaving:
18.15 = 16.5 × x
To solve for x, we can divide both sides of the equation by 16.5:
18.15/16.5 = x
Using a calculator, we can simplify this expression to get:
x ≈ 1.1
Therefore, the value of x is approximately 1.1.
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Lilly was shopping and saw the following prices on different packages of the same item
Answer:
What's the question?
Step-by-step explanation:
Write the slope-intercept form of the equation for each line.
Step-by-step explanation:
points on the line: (4, -2) & (-5, 3)
gradient of the line = -5/9
general equation for all straight lines: y = mx + c
substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c
therefore, c = 2/9
so the general equation is y = (-5/9)x + 2/9
In a video game, a player can choose a character from 9 animal characters and 5 human characters. Players can let the computer randomly select a character for them. What is the probability the computer will pick an animal character if it is allowed to choose? Enter your answer as a fraction in simplest form in the boxes
Since the fraction 9/14 is already in simplest form, the probability of the computer picking an animal character is 9/14.
To find the probability of the computer picking an animal character, we need to determine the total number of characters and the number of animal characters.
Given:
Number of animal characters: 9
Number of human characters: 5
The total number of characters is the sum of the animal and human characters:
Total number of characters = Number of animal characters + Number of human characters
Total number of characters = 9 + 5
Total number of characters = 14
Now, to calculate the probability, we divide the number of animal characters by the total number of characters:
Probability of picking an animal character = Number of animal characters / Total number of characters
Probability of picking an animal character = 9 / 14
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Select each square number. 10 150 225 32 36 108
Answer:
The answer is 36 and 225.
Step-by-step explanation:
36 is the square number of 6.
225 is the square number of 15.
find the measure of each acute angle, Please try to help!!!
Based on the given information, one of the acute angles in the triangle is 22 degrees, and another measures 68 degrees.
In any triangle, the sum of the three interior angles is 180 degrees. Therefore, in this right-angle triangle,
90 + X + 3X + 2 = 180
4X + 92 = 180
4X = 180 - 92
4X = 88
X = 22
So, one of the acute angles in the triangle is 22 degrees.
Now, we can find the third angle using the fact that the sum of the three angles in a triangle is 180 degrees:
90 + X + 3X + 2 = 180
4X + 92 = 180
4X = 88
3X + 2 = 68
Therefore, the third angle in the triangle measures 68 degrees.
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10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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Five eighths added to a number is 4
Answer:
Step-by-step explanation:
4 i think
After solving the given expression, the number obtained will be equal to 27/8.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given statement in the question,
Let the number is x.
5/8 added to the number which is equal to 4 will be,
5/8 + x = 4
x = 4 - 5/8
x = (32- 5)/8
x = 27/8
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Simplify by combining like terms. X^2-2xy+Y^2+2xy=?
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
2. Vernon practiced soccer 5 hours this week. He practiced 4 hours on weekdays and the rest over the weekend.
a. Write an equation that represents the situation. Define your variable.
b. What is the least common multiple of the denominators of 5 and 4 ? Show your work.
c. Solve the equation and interpret the solution. Show your work.
Answer:
a- Vernon practiced soccer 5 3/4hours this week. He practiced 4 1/3hours on weekdays and the rest over the weekend.
Step-by-step explanation:
Hope this helps
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Someone please help me asap.
The equation of the relationship is f(200) = 0.75 * 200
Writing the equation of the relationshipFrom the question, we have the following parameters that can be used in our computation:
Total number of drinks = 200
Cost of each drink = 0.75
Using the above as a guide, we have the following:
f(x) = Cost of each drink * Total number of drinks
Where
f(x) = Total cost
Substitute the known values in the above equation, so, we have the following representation
f(200) = 0.75 * 200
Hence, the equation is f(200) = 0.75 * 200
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Please help with solving this problem
Answer:
Step-by-step explanation:
Answer:
the first car drove 30 miles and the second drove 35
Step-by-step explanation:
1. add how many mile they can travel together.
15+20=35
2. subtract 35 from 65 and whats left is how youll determine which car drove how many the lower number goes to the lower miled vehicle.
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Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof
Answer:
Melissa
Step-by-step explanation:
Melissa: 18/20
Tom: 85/100
Find the common denomenater so multiply 18*5 and 20*5
Melissa: 95/100
95>85
Melissa has the greater mark
The population of town X was 220,000 in 2000, and 252,000 in 2010. Project the population in 2020.
The population of the town X in 2020 is given by the equation
A = 2,88,654
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the population of the town X in 2020 be A
Let the percentage of increase be represented as r
Now , the equation will be
The initial population of Town X be A = 220,000
The increased population in 10 years be B = 252,000
So , the percentage change = [ ( B - A ) / A ] x 100
Substituting the values in the equation , we get
The percentage change r = [ ( 252,000 - 220,000 ) / 220,000 ] x 100
On simplifying the equation , we get
The percentage change r = [ 32,000/220,000 ] x 100
The percentage change r = 0.1454545 x 100
The percentage change r = 14.545 %
Now , the population of the town X in 2020 = ( 14.545 + 100 )% x increased population in 10 years
On simplifying the equation , we get
The population of the town X in 2020 A = ( 114.545 )% x 252,000
The population of the town X in 2020 A = 2,88,654.544
Hence , The population of the town X in 2020 A = 2,88,654
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10. Leo runs the 100-meter dash in 19.305
seconds. Explain and show how you can
write an expression in expanded form
for the decimal that shows more than 0
hundredths.
The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005
How to write in expanded form ?He runs the 100 meters dash in 19.305 seconds.
Therefore, the seconds he runs the race can be represented in expanded form as follows:
Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.
Therefore,
19.305 in expanded form is as follows:
19.305 = 10 + 9 + 0.3 + 0.00 + 0.005
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