Answers
The value of x is 9 by using the concept of corresponding angles.
What are corresponding angles?Corresponding angles are the angles formed when two parallel lines are crossed by any other line. It may also be generated in matching edges(corners) or corresponding corners with the transversal.
From the information given:
(8x + 9) is corresponding to the opposite side of the transversal with an angle of 99 degrees.
Using the sum of angles on a straight line.
Step 1: (8x + 9)° + 99 = 180°
Step 2: 8x + 108 = 180
Step 3: 8x = 72
Step 4: x = 9
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Related Questions
Find the variance for the given sample data, Round your answer to one more decimal place than the original data 7 725 1 A. 11. 8 B. 7. 8 22 C. 6. 2 D. 7. 7
Answers
The variance of the given frequency distribution is 60.92, and the standard deviation is option (b) 7.80.
To calculate the variance of a frequency distribution, we need to first find the mean or average of the data. The formula for calculating the mean is as follows:
mean (μ) = Σfx / Σf
where Σfx represents the sum of the products of each value and its corresponding frequency, and Σf is the sum of all the frequencies.
Using the given data, we can calculate the mean as follows:
μ = (43 + 85 + 119 + 175 + 204 + 243 + 32*1) / (3+5+9+5+4+3+1)
μ = 13.5
Next, we need to calculate the deviation of each data point from the mean. To do this, we subtract the mean from each value and square the result. The formula for this is:
(x - μ)²
Using this formula, we get the following deviations for each data point:
(4 - 13.5)² = 81.00
(8 - 13.5)² = 30.25
(11 - 13.5)² = 6.25
(17 - 13.5)² = 12.25
(20 - 13.5)² = 42.25
(24 - 13.5)² = 110.25
(32 - 13.5)² = 333.22
Next, we need to multiply each deviation by its corresponding frequency, and then sum up the results. The formula for this is:
Σf(x - μ)²
Using the above deviations and frequencies, we can calculate the sum of squares as follows:
Σf(x - μ)² = 381.00 + 530.25 + 96.25 + 512.25 + 442.25 + 3110.25 + 1 x 333.22
Σf(x - μ)² = 1827.48
Finally, we can calculate the variance by dividing the sum of squares by the total number of observations (Σf). The formula for variance is:
σ² = Σf(x - μ)² / Σf
Using the above values, we can calculate the variance as follows:
σ² = 1827.48 / 30
σ² = 60.92
The standard deviation is the square root of the variance. Therefore:
σ = √(60.92)
σ = 7.80
Therefore, the correction option is (b).
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Complete Question:
Find the variance and standard deviation of the following frequency distribution:
x 4 8 11 17 20 24 32
f 3 5 9 5 4 3 1
In a fair out of 5 people 2 are men and 2 are women and the remaining are children there are 2500 people at the fair. what percentage of people are adult?
Answers
Answer:
Percentage of adults = 80%
Number of adults = 2000
Step-by-step explanation:
Percentage of men = 2/5 x 100 = 40%
Percentage of women = 2/5 x 100 = 40%
Percentage of adults = 40+ 40= 80%
If there are 2500 people, then number of adults
= 2500 x 80%
= 2500 x 80/100
= 2000 adults
Solving right triangle
Answers
Answer:
[tex]BC= 2.23[/tex]
Step-by-step explanation:
We can solve this problem using the trigonometric identity of [tex]sin[/tex].
We know:
[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\sin(50 \textdegree) = \frac{?}{3}\\[/tex]
If we solve for [tex]?[/tex] we get:
[tex]3sin(50 \textdegree) \approx 2.23[/tex]
After an 8% price increase the new price was $450. What was the original price?
Answers
Answer:
$416.67
Step-by-step explanation:
8% = 0.08
adding 8% to something means you add 0.08 of it
original = 100% = 1
original + 8% increase = 1 + 0.08 = 1.08
1.08 of original price = new price = 450
1.08 * original price = 450
450/1.08 = original price = $416.67
Which is NOT a liability?
A. Debt owed by a business
B. Debt that must be paid within the current year
C. Debt that must be paid after the current year
D. Machines, vehicles, furniture and appliances
Answers
Answer:
D. Machines, vehicles, furniture, and appliances are not considered liabilities. Liabilities are obligations or debts that a business owes to others. They are usually in the form of loans or accounts payable and represent money that must be paid in the future.
Machines, vehicles, furniture, and appliances are assets, which are resources that a business owns and that have monetary value. Assets can be sold to generate cash or used to produce goods or provide services. While assets can be used to secure loans, they do not represent a debt or obligation that must be paid in the future like a liability
Answer:
D
Step-by-step explanation:
current liability is money owed to suppliers in the form of accounts payable . Current liabilities are typically settled using current assets, which are assets that are used up within one year.
Based on previous sales, Ron predicted sales of 80 pen sets. He actually sold 100 pen sets. Find the error and absolute error for the pen sets. A 5-column table with 3 rows. Column 1 is labeled Item with entries folders, erasers, pen sets. Column 2 is labeled Approximate Value with entries 25, 220, 80. Column 3 is labeled Exact value with entries 30, 200, 100. Column 4 is labeled Error with entries negative 5, 20, a. Column 5 is labeled Absolute Error with entries 5, 20, b.
Answers
The error is 20 and absolute error for the pen sets is also 20. Absolute error is the difference between a quantity's observed or inferred value and its actual value.
What is a absolute error statement?Absolute error is the difference between such a quantity's observed or assumed value and its real value. Because it doesn't indicate the error's magnitude, the absolute inaccuracy is insufficient.
What are absolute and relative error?The difference between a quantity's measured value and its actual value is known as absolute error. The difference between the measurement's absolute error and the quantity's actual value is referred to as relative error.
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Answer:
15%
Step-by-step explanation:
flip edge
Sarah, James, and Matthew are on a team in a game show. In the game, Sarah always earns $5$ points, Matthew always earns $-2$ points, and James always earns $3$ points. To calculate their team's score, they multiply the first person's score by the second person's score, then subtract the third person's score. If they can choose the order in which they play the game, what is the maximum possible score that their team can earn?
Answers
Answer:
17
Step-by-step explanation:
5 x 3 = 15
15 - (-2) = 17
Sarah goes first, James goes second, and Matthew goes third.
(Combinatorial analysis question)
A batch of 15 phones contains 3 defective phones. A sample of 4 phones out of 15 in the lot is chosen at random. How many of the possible samples contain at least one defective part?
Book says the answer is 870. Can someone give me a step by step answer please?
Answers
Answer:
Step-by-step explanation:
There are several ways to approach this problem, but one common method is to use the complementary counting principle, which states that the number of favorable outcomes can be obtained by subtracting the number of unfavorable outcomes from the total number of outcomes. In this case, the favorable outcome is that the sample contains at least one defective phone, and the unfavorable outcome is that the sample contains no defective phones.
The number of possible samples of 4 phones out of 15 can be calculated as the number of combinations of 4 items from a set of 15, which can be written as:
C(15, 4) = 15! / (4! * (15 - 4)!) = 1365
The number of samples containing no defective phones can be calculated as the number of combinations of 4 phones out of the remaining 12 non-defective phones, which can be written as:
C(12, 4) = 12! / (4! * (12 - 4)!) = 495
So, the number of samples containing at least one defective phone can be calculated as:
1365 - 495 = 870
Therefore, out of the 1365 possible samples of 4 phones, 870 of them contain at least one defective phone.
RECORDING SNEET
Naper is buying fabric to make pillows. At the store, 3 yards of
annel fabric costs $12.60, and 5 feet of fleece fabric costs $8.75.
know the units need to be the same to compare the prices.
suy the length of the flannel fabric to feet.
Answers
From unit prices gotten, the price of one feet of annel fabric is cheaper than the price of one feet of fleece fabric.
How to find unit prices?A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint. This can be used to compare the same type of goods sold in varying weights and amounts.
The parameters are;
3 yards of annel fabric costs $12.60
5 feet of fleece fabric costs $8.75.
From conversion units;
1 yard = 3 feet
Thus;
3 yards = 3 * 3 = 9 ft
Thus;
Unit price of Annel fabric = 12.6/9 = $1.4 per ft
Unit price of fleece fabric = 8.75/5 = $1.75 per ft
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A crew of construction workers are disassembling the inside of a building and dropping things into dumpsters at the base of the building. The equation Va=(64d)122
is used to find the average velocity, or speed, in feet per second of an object that has fallen a distance of d feet. What is the average velocity, to the nearest hundredth, of a ceiling tile that fell 43 feet ?
Answers
The average velocity, to the nearest hundredth, of a ceiling tile that fell 43 feet is 344 feet per second
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given that the formula for the speed of a falling object is v= √64d,
where v is the speed of the object in feet per second and d is the distance the object has fallen, in feet.
And also given that d = 43 feet.
Substituting the value to the formula,
v = √64 (43)
v = 8 x 43
v = 344
Therefore, 344 feet per second is the velocity.
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new later
A scatter plot is shown below.
10
8
6
A
N
02 4
6
8 10 12 14 16
Which statement best explains why these data can or cannot be modeled using a line of best fit?
a. A line would not be appropriate because there is a negative association.
b. A line would not be appropriate because the points follow a nonlinear pattern.
c. A line would be appropriate because there is a positive association.
d. A line would be appropriate because the points follow a nonlinear pattern.
Answers
The points are scattered in the scatterplot and thus, a line would not be appropriate because the points follow a nonlinear pattern.
Hence, option b is the correct answer.
How can scatterplot identify relationships?Numerous different kinds of associations between two variables can be found using a scatterplot.
When there is no pattern visible in the points on a scatterplot, a relationship has no correlation.
When the points on a scatterplot exhibit a pattern rather than a straight line, a relationship is non-linear.
When the points on a scatterplot exhibit a largely straight line pattern, a relationship is linear. We shall look at this relationship in detail.
From the given graph we observe that the points do not follow a linear pattern.
The points are scattered and thus, a line would not be appropriate because the points follow a nonlinear pattern.
Hence, option b is the correct answer.
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The correct question is:
Miss brown butt the following items to make a cake for her daughter's 13th birthday party quantity for flower is 5LB the unit costs $2.74 per LB the total cost is $6.54The next item is sugar free for the sugar is 2 1⁄2 LB the unit costs $1.70 per LB the total cost is $1.60 the other item is butter quantity for the butter is 2LBP The next item is sugar free for the sugar is 2 1⁄2 LB the unit costs $1.70 per LB the total cost is $1.60 the other item is butter quantity for the butter is 2LBP that you need to cost is $7.49 per lb the total cost is $4.49Miss brown also needed to buy some eggs exhaust sole 6 for $4.85 and she needs to buy 1⁄2 dozen eggs calculate the cost of eggs calculated her total bill for the 4 items there is a 5% discount if you spend $50 on how much more money will she need to spend to get the discounts which is the best deal spent $50 And get the 5% Discounts Or purchase the four tems ?explain your reasoning.
Answers
The total cost of the ingredient to make the cake and the comparison to the percentage discount to get the best deal indicates that we get;
The total cost of the ingredient for the cake is $37.78The best deal is to purchase the 4 items and minimize spendingWhat is a percentage?A percentage is the representation of a proportion of an item per 100 of a set of items.
Quantity of flour = 5 lb
Unit cost for the flour = $2.74 per lb
Quantity of sugar = 2 1/2 lb
Unit cost of the sugar = $1.70 per lb
Quantity of butter = 2 lb
Unit cost of the butter = $7.49 per lb
Quantity of eggs required = 1/2 dozen
Cost of six eggs = $4.85
Miss Brown's total bill for the four items, C, is therefore;
C = 5 × 2.74 + (2 1/2) × 1.7 + 2 × 7.49 + 4.85 = 37.78
Her total cost for the four items, C = $37.78The discount available for purchases of $50 or more = 5% discount on the purchase
The amount of more money she will have to spend to get the 5% discount is therefore;
$50 - $37.78 = $12.22
Miss Brown will have to spend $12.22 extra to get the 5% discount
The 5% discount indicates that spending $50, Miss Brown only has to pay $50 - $50 × 5% = $47.5
Therefore, in order to get the discount, the total amount spent on the purchase is increase by $47.5 - $37.78 = $9.72, and the amount saved from the discount is $2.5, therefore;
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A function is given.
g(x) = 1 −
3
4
x; x = −4, x = 3
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
Answers
On solving the provided question, we can say that the function is
and f(-2) = -13 and f(0) = 3
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
the function is
= 3 - 4(4)
= 3 - 16
=-13
= 3 - 4(0)
= 3 - 0
= 3
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A rectangular dog pen has an area of 384 sq yd. The width is 24 yd. How much does it cost to fence it if the cost for fencing is $9 per foot?
Answers
Answer:
$2160
Step-by-step explanation:
Area of a rectangle = Length * Width
A = L * W
Divide both sides by width
W/(A = L * W)/w
[tex]\frac{A}{W} = L[/tex]
Plug in values
[tex]\frac{384}{24} =16[/tex]
Multiply Length and width to find perimeter
2W + 2L = P
plug in values
2(24) + 2(16) = 80
Multiply perimeter by cost per foot
1yd = 3ft
80yd * 3ft = 240ft
240ft * $9 = $2160
convert the following measurement
Answers
The value of expression after change its measurement as;
⇒ 3.4 × 10⁻⁴ kg . m²/ s²
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The expression is,
⇒ 3.4 × 10⁵ g . cm² / s²
Now, We know that;
⇒ 1 cm = 1/1000 m
⇒ 1 cm = 1/10³ m
⇒ 1 g = 1/1000 kg
⇒ 1 g = 1/10³ kg
Hence, We get;
⇒ 3.4 × 10⁵ g . cm² / s²
⇒ 3.4 × 10⁵ (1/10³) kg . (1/10³)² m²/ s²
⇒ 3.4 × 10⁵ × 10⁻³ × 10⁻⁶ kg . m²/ s²
⇒ 3.4 × 10⁻⁴ kg . m²/ s²
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Help me, please!!!!!!!!!
Answers
Answer: D, 3x+12
Step-by-step explanation: Distributing a number means that you have to multiply the number by all of the numbers inside the parentheses. 3*x is 3x, and 3*4 is 12. 3x+12 is 3x+12.
plsss help i really need it
Answers
A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.
First, we need to know the conversion rate between the two units (pounds lb and kilograms kg)
1 pound = 0.45359237 kilogramsNow, we can convert 90 pounds.
90 × 0.45359237 = 40.8233133 kgSo, 90lb ≈ 41kg
(If you were to round)
Andrea and Stanley have decided on a $320,000 mortgage value for this new house. They are comparing two mortgage
options from two different lending institutions. They know they want a 30-year term, but they aren't sure which instituti
would be a better fit. Mortgage B institution is closer to their home, and they aren't sure the difference in monthly paym
is worth partnering with someone farther away.
Mortgage A: 4.5% with monthly payments of $1621.39 and a total payback of $583,700.40
Mortgage B: 5% with monthly payments of $1717.83 and a total payback of $618,418.80
How much will Andrea and Stanley save by choosing Mortgage A?
Provide your answer below:
They will save $ by choosing Mortgage A
Content attribution
FEEDBACK
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SUBM
Answers
In linear equation, $ 618,418.80 will Andrea and Stanley save by choosing Mortgage A .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Total Payback = Instalment Amount * No. of Instalments
Mortgage A:
= $1621.39 * 360
= $ 583,700.40
Mortgage B:
= $1717.83 * 360
=$ 618,418.80
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Need helpppp with this problem!! thanks!
Answers
Answer:
20
Step-by-step explanation:
[tex]\sqrt[3]{64xy^{3}}[/tex] = [tex]\sqrt[3]{64}[/tex] × [tex]\sqrt[3]{x}[/tex] × [tex]\sqrt[3]{y^{3}}[/tex]
a = coefficient
= [tex]\sqrt[3]{64}[/tex]
∴a = 4
[tex]x^{b}[/tex] = [tex]x^{-2}[/tex]×[tex]\sqrt[3]{x}[/tex]
= [tex]x^{-2}[/tex]×[tex]x^{\frac{1}{3}}[/tex]
= [tex]x^{-2+\frac{1}{3}}[/tex]
= [tex]x^{\frac{-6}{3} + \frac{1}{3}}[/tex]
= [tex]x^{\frac{-6+1}{3}}[/tex]
[tex]x^{b}[/tex] = [tex]x^{-\frac{5}{3}}[/tex]
∴b = [tex]-\frac{5}{3}[/tex]
[tex]y^{c}[/tex] = [tex]y^{-4}[/tex]×[tex]\sqrt[3]{y^{3}}[/tex]
= [tex]y^{-4}[/tex]× [tex](y^{3})^{\frac{1}{3}}[/tex]
= [tex]y^{-4}[/tex] × [tex]y[/tex]
= [tex]y^{-4 + 1}[/tex]
[tex]y^{c}[/tex] = [tex]y^{-3}[/tex]
∴c = [tex]-3[/tex]
∴Product of a, b and c = [tex](4)[/tex]×[tex](-\frac{5}{3})[/tex]×[tex](-3)[/tex]
= 20
Courtney can run a 1/4 mile in 2 minutes. At this rate, how many minutes will it take Courtney to
run 1.25 miles?
Answers
Answer:
10 minutes
Step-by-step explanation:
1/4 in 2 minutes
1 1/4 = 1/4 x 5
2 x 5 = 10
(That's REALLY good honestly)
its (3,-2) i did the test
Answers
Help me with this Quadratic function graph the function
Answers
The graph of the quadratic function can be seen on the image at the end.
How to graph the quadratic function?The only way to graph or sketch a function by hand, is by finding some points on the graph and then connecting them.
To find the points we need to evaluate the quadratic equation.
if x = 0
y = 5*0^2 + 2 = 2
So we have the point (0, 2)
if x = 1
y = 5*1^2 + 2 = 7
So we have the point (1, 7)
if x = -1
y = 5*(-1)^2 + 2 = 7
So we have the point (-1, 7)
And so on, once you have enough points, you can graph them on the coordinate axis and then connect them. The graph of the quadratic equation can be seen on the image at the end.
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Troy has an album that holds 400 compact discs. Each page of the album holds 4 compact discs. If 66% of the album is empty, how many pages are filled with compact discs?
pages are filled with compact discs.
Answers
Troy has an album that holds 400 compact discs, and each page holds 4 compact discs. If 66% of the album is empty, that means that 34% of the album is filled with compact discs. Since each page holds 4 compact discs, that means that 34% of 400 compact discs is 136 compact discs. Since each page holds 4 compact discs, that means that 136 compact discs is 34 pages. Therefore, 34 pages are filled with compact discs.
Answer:
34 pages are full
Step-by-step explanation:
The frequency diagram shows the heights of students in a class.
a) How many students were over 145 cm?
b) How many students had a height
between 125 cm and 140 cm?
c) How many students were in the class?
Answers
a.) The number of students that are over 145cm = 13
b.) The number of students with the height between 125 cm and 140 cm = 21 students.
C.) The number of students that were in class = 37
What is a frequency table?A frequency table is defined as a statistical tool that is used to organize the data given so that it makes it more meaningful and easier to understand.
To calculate the number of students that are over 145cm = 8+4+1 = 13 students.
To calculate the number of students that had a height
between 125 cm and 140 cm = 2+5+6+8 = 21 students.
To calculate the number of students that were in class= 3+2+5+6+8+8+4+1 = 37 students.
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Examine the right triangle below, solve for x, round to two decimal places if
necessary.
C
Answers
Answer:
Step-by-step explanation:
sinX = 18/32
sinX = 0.5625
X = 34.23
The profit a company makes decreases exponentially at a rate of 0.9% per year. In 2014, the profit was $9500. Calculate the profit in 2019.
Answers
Answer: $9080.13
Step-by-step explanation:
use the equation y=b(x)^t, where b is the original profit, x is the percent remaining after one year, and t is the amount of years.
SUBSTITUTE:
y=9500(0.991)^5
Use calculator, and y=9080.126 in 2019. Round off to $9080.13
hope this helps!
MM
Solve for x, will give brainliest
Answers
Answer:
2
Step-by-step explanation:
Line MN ≅ Line LK
Since Line MN ≅ Line LK, that means the diagonals must be congruent ∴ MK ≅ NL.
Now that we know MK ≅ NL, we can set them equal to each other.
MK = [tex]16[/tex]
NL = [tex]7x + 2[/tex]
[tex]16=7x+2\\14=7x\\2=x[/tex]
Therefore, 2 is your final answer.
Isaac Newton sat under an apple tree to drink some tea and think. While he was thinking, an apple fell off a branch of the tree. The equation v=(19.8d)12
can be used to find the velocity, in meters per second, of the apple after dropping a distance , in meters. If the apple was connected to a branch 9 meters above the ground, what was the velocity of the apple, to the nearest hundredth, when it hit the ground?
Answers
The velocity of the apple, to the nearest hundredth, when it hit the ground is equal to 13.35 meters per seconds.
What is a function?In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
How to determine the velocity of the apple?From the information provided about an apple that fell off a branch of the tree, a function that models the velocity of the apple include the following:
Velocity = (19.8d)^{1/2}
Where:
d represents the distance in meters.
Velocity = (19.8 × 9)^{1/2}
Velocity = (178.2)^{1/2}
Velocity = 13.35 meters per seconds.
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5 Heena and Sudha share Profit & Loss equally. Their capitals were Rs.1,20,000 and Rs. 80,000 respectively. There was also a balance of Rs. 60,000 in General reserve and revaluation gain amounted to
Rs. 15,000. They admit friend Teena with 1/5 share. Teena brings Rs.90,000 as capital. Calculate the
amount of goodwill of the firm.
a) Rs.85,000
b) Rs.1,00,000
c) Rs.20,000
d) None of the above
Answers
On solving the provided question, we can say that by unitary method, Total capital of the firm = Rs. 85,000
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Heena and Sudha share profits and losses equally.
If the capital of Teena is 1/5 of the total capital which is equal to Rs. [tex]90,000[/tex] 1/5 of Total capital = Rs. [tex]90,000[/tex]
Total capital = Rs. 90,000 × 5 = 4,50,000, capital of all partners = Rs. [tex]1,20,000 + Rs. 80,000 + Rs. 90,000 + 60,000 + Rs. 15,000[/tex]
Total capital of all partners = Rs. [tex]3,65,000[/tex]
Total capital of the firm = Rs. [tex]85,000[/tex]
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In an isosceles triangle, one angle is 24° greater than each of the other two equal angles.
Find the measure of all three angles.
The two smaller angles are each _____
Answers
The two smaller angles are 39 degrees each. The other angle is 106
How to solve for the anglesThe measure of the angles would be found using the formula
2*x + 24 = 180
This is because the sum of angles that are in a triangle is = 180
the two equal angles are x + x = 2x
the other angle is 24 greater than 2x
2x + 24 = 180
2x = 180 - 24
2x = 156
x = 78
eaxh of the two equal angles are 78 degrees
while the other angle is 78 + 24 = 106
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