Answer:
1. x = 15° | y = 120°2. x = 4.5 | y = 60°Step-by-step explanation:
1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
\(4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ \)
4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )
\(4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y\)
2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
\(y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ \)
All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.
Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )
\(54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5\)
ill give brainliest pls help
Step-by-step explanation:
HOPE IT HELPED YOU, MARK ME AS BRAINLIST.Convert 36 pounds to kilograms. (1 pound = 0.454 kilogram)
79 kilograms
7.9 kilograms
163.44 kilograms
16.344 kilograms
36 pounds is equal to 16.344 kilograms.
Given that we need to convert 36 pounds to kilograms.
We have 1 pound = 0.454 kilogram,
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.454 kilogram.
Given that we have 36 pounds, we can multiply this value by the conversion factor to find the equivalent weight in kilograms:
36 pounds x 0.454 kilogram/pound = 16.344 kilograms
Therefore, 36 pounds is equal to 16.344 kilograms.
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carrots are $0.79 per pound. what is the cost of 1.20 kg of carrots?
The cost of 1.20 kg of carrots is $2.09.
to convert the weight of carrots from pounds to kilograms. There are approximately 2.20462 pounds in 1 kilogram. Therefore, 1.20 kg of carrots is equivalent to 2.64555 pounds.
Next, we can use the given price of $0.79 per pound to calculate the cost of 2.64555 pounds of carrots.
Cost of 2.64555 pounds of carrots = 2.64555 x $0.79
Cost of 2.64555 pounds of carrots = $2.09 (rounded to the nearest cent)
Therefore, the cost of 1.20 kg of carrots is $2.09.
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The price of a technology stock was $9.65 yesterday. Today, the price fell to $9.52. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
(9.52/9.65)×100 = 98.65
your 100% value decreased to 98.65
net percentage decrease: 100-98..65
=1.347 or 1.35 (rounded)
A large candy bar was 147 calories. The smaller candy bar has 29 percent less
calories. How many calories does the smaller candy bar have?
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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How would a bigger down payment be beneficial to borrowers? a. A bigger down payment is only beneficial for a person applying for a home loan. B. A bigger down payment is essentially a bribe to the dealership, guaranteeing a few extra bells and whistles for free. C. A bigger down payment means that the borrower has more money, and can afford a bigger loan. D. A bigger down payment is money paid toward principal, interest free, which also decreases the amount paid monthly.
The correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.
What is interest?The amount of money a lender or financial organization earns for lending out money is known as interest.
We know that monthly payments include the interest on the principal amount that is not been paid during the purchase of an item, if the down payment is more than the principal amount that the customer does not pay will decrease which will decrease the loan amount, thus, the interest on the principal amount will decrease as well.
Now, as the interest and the principal amount have both is been reduced, therefore, the monthly instalment(monthly payment) will be reduced as well.
Hence, the correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.
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Answer:
d
Step-by-step explanation:
on edge
What is the measure of exterior angle B in the polygon?
B
(9x + 3)
(8x)
A
C(5x + 4)
OA. 93°
OB. 96°
O C. 116°
OD. 87°
(9x + 5)°
The value of Exterior Angle B in the polygon is equal to 102°.
What is Polygon?
A polygon is a two-dimensional closed object made up of line segments (not curves). Polygon is made up of two words: poly (which means numerous) and gon (which means shape) (means sides). A closed figure requires at least three line segments connected end to end.
We are given eith the exterior angles
∠A = 8x°
∠B = 9x + 3°
∠C = 5x + 4°
∠D = 9x + 5°
And using the property that sum of exterior angles of a polygon is 360°
We can find the value of x
8x + 9x + 3 + 5x + 4 + 9x +5 = 360
31x + 12 = 360
31x = 348
x = 11
∠B = 9*11 + 3° = 99 + 3 = 102°
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A rancher feeds one of her horses 6 scoops of corn each day during the winter. She feeds the horse half as much corn during the summer. How much corn does the rancher feed the horse each day in the summer?
Answer:
the answer is three
Step-by-step explanation:
because half of 6 is 3
All of the following are considered migration push factors EXCEPT...
A. Employment Opportunity
B. Violence or war
C. Outsourcing
D. Pollution
Answer:
c. outsourcing
Step-by-step explanation:
just didbthat
Answer:
b
Step-by-step explanation:
because it shows it talks about factor
Find a value of c so that P(Z ? c) = 0.71. a) -1.11 b) 0.75 c) -0.55 d) 0.55 e) 1.55
Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.
The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.
Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.
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A line graph titled Text messages sent has time of day on the x-axis and number of text on the y-axis. Girls sent 10 in the morning, 25 in the afternoon, 40 in the evening, and 5 at night. Boys sent 5 in the morning, 15 in the afternoon, 20 in the evening, and 15 at night.
The graph shows the number of text messages sent by the boys and girls in one day. Complete the statements.
Boys sent more text messages than girls during the
.
In the morning, girls sent about
more text messages than boys.
Both boys and girls sent the most text messages in the
.
During the afternoon, the students sent a total of approximately
text messages.
Answer:
Boys sent more text messages than girls during the
✔ night
.
In the morning, girls sent about
✔ 5
more text messages than boys.
Both boys and girls sent the most text messages in the
✔ evening
.
During the afternoon, the students sent a total of approximately
✔ 40
text messages.
Step-by-step explanation:
Answer:
Boys sent more text messages than girls during the
✔ night
.
In the morning, girls sent about
✔ 5
more text messages than boys.
Both boys and girls sent the most text messages in the
✔ evening
.
During the afternoon, the students sent a total of approximately
✔ 40
text messages.
Step-by-step explanation:
Kevin works 2 hours more than Emily each time they work together. Using this information, complete the table
Answer:
we cannot see the table, did u attach any photo before asking the question?
A standard normal distribution is a normal distribution with : a . a mean of zero and a standard deviation of one b . a mean of one and a standard deviation of zero c . a mean zero and a standard deviation of zero d . a mean of one and a standard deviation of one e . none of these
A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.
The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.
Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.
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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.
A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.
The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.
The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.
The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.
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HALP ME PLS E-x-p-la-i-n how you got your answer plsssssss i neeed to know this cr9p
Answer:
\(\sf y = \dfrac{-2}{5}x+1\)
Step-by-step explanation:
Equation of the line: y = mx + bWhere m is the slope and b is y-intercept.
(5, -1) & (-5, 3 )
\(\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf =\dfrac{3-[-1]}{-5-5}\\\\=\dfrac{3+1}{-10}\\\\=\dfrac{-4}{10}\\\\=\dfrac{-2}{5}\)
Substitute m = (-2/5) in the equation,
\(\sf y = \dfrac{-2}{5}x+b\\\\Now, substitute \ any \ point \ in \ the \ above \ equation \ and find \ 'b',\\\\(5,-1)\\\\ -1 = \dfrac{-2}{5}*5+b\\\\-1=-2+b\\\)
-1 + 2 = b
\(\sf \boxed{b = 1}\\\\\bf The \ equation \ of \ the \ line, \\\\ \ y =\dfrac{-2}{5}x+1\)
A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450.
Simplify (square root)2/^3(square root)2
A. 2^1/6
B. 2^1/3
C. 2^5/6
D. 2^3/2
Answer: Personally I would do option "B" 2 1/3 because it sounds right.
A line is drawn over this rectangle.
Is the line a line of symmetry?
Based on the definition of a line of symmetry, we can conclude that: "the line is not a line of symmetry, because the two parts are not an exact match when the rectangle is folded over the line."
What is a Line of Symmetry?A line of symmetry is like a mirror that splits a shape into two parts that look exactly the same. If you fold a shape in half along a line and both sides look exactly the same, that line is called a line of symmetry.
Thus, from the image shown with the rectangle given, we can conclude that: "the line is not a line of symmetry, because the two parts are not an exact match when the rectangle is folded over the line."
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c) Which of these numbers is a square number?
A
B
с
D
4 x 10 9 x 104 4 x 10 9 x 10
Answer:
Could you arrange that better so that I can reanswer it accurately.
Step-by-step explanation:
Assume the world population at the end of 2017 was 7.4 billion people. The population growth rate in 2018 is 1.07%. How many more people were on the planet at the end 2018?
At the end of 2018, the world population was approximately 7.53 billion people. This figure is calculated by taking the total population at the end of 2017, 7.4 billion people, and multiplying it by the population growth rate of 1.07%..
This means that the world population increased by approximately 130 million people in 2018. This population growth rate is consistent with the average growth rate of the world population over the last decade. While the population growth rate has been decreasing over the past few decades, it is still relatively high at 1.07%.
The high population growth rate is primarily due to high fertility rates in developing countries and a longer life expectancy in developed countries. This means that more people are born and fewer people die each year. As a result, the total population of the world increases each year.
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How do you find the scale factor of a point dilation?
Answer:
Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.
Step-by-step explanation:
If y = 15 when x = 5, find y when x = 9. Hint: y=mx
Answer:
y=1234567891-111213141161
Step-by-step explanation:
Answer:
Step-by-step explanation:
Y=12
10 points show your work please thank you
Answer:
Step-by-step explanation:
12*15
180
Answer:
X=9
Step-by-step explanation:
15^2=12^2+x^2
225 = 144 +x^2
225-144=x^2
81 =x^2
squareroot(81) = x
A new bed costs $1,200. If the tax rate is 8.25%, how much will the bed cost including tax?
Answer:
1299
Step-by-step explanation:
To find the equivalent of the persentege in money u do
(8.25)/100 *1200
that is 99
than u simply do 1200+99=1299
PLEASE HELP I WILL VOTE BRAINLIEST IF CORRECT
Graph the following system of equations and find the x-coordinate of the solution.
Choices:
x = -2
x = 3
x = 2
x = 0
x = 3
y = 8
(3, 8)
Hope this helps! :)
scores on a certain test are normally distributed with a variance of 14. a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
The researcher needs a sample size of at least 10 to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
To find the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units, we can use the formula:
n = (Z * σ / E)²
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, 90% confidence corresponds to a Z-score of approximately 1.645)
σ = standard deviation of the population (given as the square root of the variance, so σ = √14)
E = maximum allowable error or margin of error (given as 2 units)
Plugging in the values:
n = (1.645 * √14 / 2)²
Simplifying:
n = (1.645 * 3.74 / 2)²
n = (6.1393 / 2)²
n = 3.06965²
n ≈ 9.42
Therefore, the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units is approximately 9.42.
The researcher should gather a sample of at least 10 adults to estimate the mean score achieved by all adults on the test with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
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when the positive integers are arranged in order, filling in the successive diagonals of an infinite grid from top to bottom, as shown, the integer $41$ is in the $(5, 5)$ spot. what integer would we see in the $(10, 10)$ spot if the rest of the grid were visible?
To fill in the successive diagonals of the infinite grid, we start with $1$ in the $(1,1)$ spot. The second diagonal starts with $2$ in the $(1,2)$ spot and $3$ in the $(2,1)$ spot.
The third diagonal starts with $4$ in the $(1,3)$ spot, $5$ in the $(2,2)$ spot, and $6$ in the $(3,1)$ spot. And so on. Since $41$ is in the $(5,5)$ spot, it means it is the $41$st integer to be filled in the diagonals of the grid. To find the integer in the $(10,10)$ spot, we need to count $9$ diagonals that come before the diagonal that contains $(10,10)$.
Each diagonal contains one more integer than the previous diagonal. So, the $n$th diagonal contains $n$ integers.Therefore, the $10$th diagonal contains $10$ integers, starting with the integer in the $(1,10)$ spot and ending with the integer in the $(10,1)$ spot.
The integer in the $(10,10)$ spot is the last integer in the $10$th diagonal, which is $10+9+8+7+6+5+4+3+2+1 = \boxed{55}$.
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If the length of an rectangle is '' x-4 '' and the width is '' 3x-3 '' What would be the expression to represent the perimeter.
The expression that represents the perimeter of the rectangle is 8x - 14
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
Length of rectangle(L) = x - 4
Width of rectangle(W) = 3x - 3
Perimeter of rectangle = 2(L + W)
L = x - 4, W = 3x - 3
Perimeter of rectangle = 2( x - 4 + 3x - 3)
Perimeter of rectangle = 2( 4x - 7) which is 8x - 14
In conclusion 8x - 14 is the expression for the perimeter of the rectangle
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In this problem, you will investigate the relationship between the area and perimeter of a rectangle.
b. Tabulate all possible whole-number values for the length and width of the rectangle, and find the area for each pair.
To investigate the relationship between the area and perimeter of a rectangle, we will tabulate all possible whole-number values for the length and width of the rectangle and find the area for each pair.
In a rectangle, the area is given by the formula A = length × width, and the perimeter is given by the formula P = 2(length + width). By systematically exploring different combinations of whole-number values for the length and width, we can calculate the corresponding area for each pair.
Table of Possible Whole-Number Values for Length and Width:
Length | Width | Area
-------|-------|-----
1 | 1 | 1
1 | 2 | 2
1 | 3 | 3
2 | 1 | 2
2 | 2 | 4
2 | 3 | 6
3 | 1 | 3
3 | 2 | 6
3 | 3 | 9
In the table above, we have listed all possible combinations of whole-number values for the length and width of the rectangle. For each combination, the corresponding area is calculated by multiplying the length and width.
By examining the table, we can observe that as the length and width increase, the area also increases. This demonstrates that there is a positive relationship between the area and the dimensions of the rectangle.
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Han has 10 cubes, each 5 inches on a side. Find the total volume of Han's cudes Express your answer as an expression using an exponent.
Answer:
2 * 5⁴
Step-by-step explanation:
Given :
Number of cubes = 10
Side length, a of each cube = 5
The volume of a cube = (side length)³
Hence, the volume of each of Han's cube = 5³
Therefore, the total volume will be :
Volume or cube * number of cubes
5³ * 10
10 = 2 * 5 = 2 * 5¹
5³ * 2 * 5¹
2 * 5^(3 +1)
2 * 5⁴