n isosceles triangle ABC, BC is the shortest side. If the degree measure of ZA is a multiple of 10, what is the smallest possible measure of ZB
Answers
The smallest possible measure of angle B in the isosceles triangle is 181 degrees.
In an isosceles triangle, the two equal sides are opposite to the two equal angles. Let's assume that side BC is the shortest side, which means that angle B is the smallest angle in the triangle.
Since angle A is a multiple of 10 degrees, we can express it as A = 10x, where x is an integer representing the multiple.
In an isosceles triangle, the sum of the measures of the two equal angles is always greater than the measure of the third angle. Since angle A is the largest angle in this case, we have:
2B > A
2B > 10x
Now, we want to find the smallest possible measure of angle B. To minimize angle B, we should maximize angle A. The largest multiple of 10 degrees that satisfies the condition is when x = 36, resulting in angle A = 360 degrees.
Substituting this value into the inequality:
2B > 10x
2B > 10(36)
2B > 360
To find the smallest possible measure of angle B, we need to find the smallest value that satisfies this inequality. The smallest value of B that satisfies this condition is B = 181 degrees.
Thus, the appropriate answer is 181 degrees.
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Related Questions
Which of the following statements is true based on the graph below, which depicts width versus length? A. Width has a strong positive correlation to length. B. The data show a positive linear relationship. C. The correlation coefficient is zero. D. Width has a strong negative correlation to length.
Answers
The graph show the relation of width to length
As the length is incresing the width decresses its value
A positive correlation is where the two variables react in the same way, increasing or decreasing together and a negative correlation is where the two variables react in different way.
Thus, the Width has a strong negative correlation to length.
Answer : Width has a strong negative correlation to length.
Accounting Data Analytics
A) K-Means uses Euclidean distance. How is Euclidean distance between 2 points calculated?
B) What do "Ave Distance", "Max Distance", and "Separation" mean in the output from the cluster analysis (given in the Summary Report of the K-Means Cluster analysis).
C) What is convergence? What does it mean, when the video says there is convergence after 4 iterations? How is the option "Number of starting seeds" related to iterations and convergence?
Answers
K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.
In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.
"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.
Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.
When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.
The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.
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The expression 4·81‾‾‾√ gives the perimeter of the square shown. What is the perimeter, in meters, of the square?
Answers
Answer:
The perimeter is 4√81 = 4 × 9 = 36 meters.
Anna, Bertram, Carli, and David have a competition to see which of them can hold their breath for the longest time period, in minutes. If Bertram, Carli, and David add their times together, the resulting sum is three times the length of time that Anna can hold her breath. Similarly, if Anna, Carli, and David sum their times, the result is four times Bertram's time period, and if Anna, Bertram, and David sum their times, the result is twice Carli's time. Finally, eight times Anna's time plus ten times Bertram's time plus six times Carli's time equals two fifths of an hour.
Requried:
If the length of time that David can hold his breath is expressed in minutes as a simplified fraction, what is the sum of the numerator and the denominator?
Answers
According to the question, the sum of the numerator and denominator is 5.
Let's represent the length of time in minutes that Anna, Bertram, Carli, and David can hold their breath as A, B, C, and D, respectively.
According to the given information, we have the following equations:
B + C + D = 3A (Equation 1)
A + C + D = 4B (Equation 2)
A + B + D = 2C (Equation 3)
8A + 10B + 6C = \((\frac{2}{5})\) * 60 (Equation 4)
We can solve this system of equations to find the values of A, B, C, and D.
Let's start by simplifying Equation 4:
8A + 10B + 6C = 24
Next, we can use Equation 3 to express D in terms of A, B, and C:
D = 2C - A - B
Substituting this expression for D in Equations 1 and 2, we can rewrite them as:
B + C + (2C - A - B) = 3A
A + C + (2C - A - B) = 4B
Simplifying these equations, we get:
3C - A = 3A
3C - B = 3B
From these equations, we can deduce that A = C and B = 2C.
Substituting these values in Equation 4, we have:
8A + 10B + 6A = 24
14A + 10B = 24
Since B = 2C and A = C, we can rewrite the equation as:
14C + 20C = 24
34C = 24
C = \(\frac{24}{34}\)
= \(\frac{12}{17}\)
Now, substituting C = \(\frac{12}{17}\) in equations A = C and B = 2C, we find:
A = \(\frac{12}{17}\)
B = \(\frac{24}{17}\)
Finally, the length of time that David can hold his breath is D = 2C - A - B:
\(D = 2(\frac{12}{17}) - \frac{12}{17} - \frac{24}{17}\)
\(D = \frac{24}{17} - \frac{12}{17} - \frac{24}{17}\)
\(D=-\frac{12}{17}\)
The length of time that David can hold his breath is \(-\frac{12}{17}\) minutes.
The sum of the numerator and denominator of this fraction is \(-12 + 17 = 5\).
Therefore, the sum of the numerator and denominator is 5.
Please note that it is unusual to have a negative value for the length of time, so you may want to double-check the problem statement or verify the calculations to ensure accuracy.
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a pipe made of metal 1cm thick , has and external radius of 11cm. find the volume of metal used in making 2.4 m long pipe
Answers
Answer:
The volume of metal used in making 2.4 m long pipe is 1.58 cm³
Step-by-step explanation:
From the question,
The external radius is 11cm.
Also, the thickness of the pipe is 1cm, then we can determine the internal radius.
Internal radius = External radius - the thickness
Internal radius = 11cm - 1cm
Internal radius = 10cm
Now, to find the volume of metal used in making the long pipe,
The volume of metal used in making the long pipe is the difference between the volume of the external cylinder and the volume of the internal cylinder.
Volume of a cylinder is given by the formula below
\(V = \pi r^{2}h\)
Where \(V\) is the volume of the cylinder
\(\pi\) is constant ( Take \(\pi\) = 3.14)
\(r\) is the radius
and \(h\) is the height
Let the radius of the external cylinder be R,
then, R = 11 cm = 0.11 m
and let the radius of the internal cylinder be r
then, r = 10 cm = 0.10 m
Then,
The volume of metal used in making the long pipe = \(\pi R^{2}h - \pi r^{2}h\)
= \(\pi (R^{2} - r^{2})h\)
= \(3.14\times(0.11^{2} - 0.10^{2})\times2.4\)
= \(3.14\times(0.0121 - 0.01)\times2.4\\\)
= \(3.14\times(0.0021 )\times2.4\\\)
= 0.0158 m³ or 1.58 cm³
Hence, the volume of metal used in making 2.4 m long pipe is 1.58 cm³
When the coordinates 1 1 7 3 8 0 and 2 − 2 are joined which shape is formed 5 points group of answer choices trapezoid rectangle rhombus square?
Answers
the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square
When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.
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what is the value of power 0f a if a in 5 ^ a = 1 over 125
Answers
Answer:
㏑(5a)=㏑(1)
Expand ㏑(5a) by moving a outside the logarithm.
.................................
a㏑(5)=㏑(1)
a=0/㏑(5) => a=0
Step-by-step explanation:
HELP PLEASE TO CONFUING FOR ME
Answers
Answer:wow this is hard
Step-by-step explanation:
A video game system is on sale for 25% off its original price. If the original price is $340, how much money will be saved?
Answers
Answer:
85 dollars would be the answer
Solving Equations with Variables on Both Sides
Answers
Answer: x=-9
Step-by-step explanation: First, combine like terms. 3x+4-2x=-5
Then x+4 = -5
x=-9
Find the following in slope intercept form
The equation of a horizontal line that passes through (4,2)
Answers
The equation of a horizontal line that passes through (4,2) in slope intercept form is y = 2.
A horizontal line has a slope of 0, which means that the y-value remains constant while the x-value changes. In slope intercept form, the equation of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
Since the slope of a horizontal line is 0, the equation of a horizontal line can be written as y = 0x + b, or simply y = b. The y-intercept is the value of y when x = 0, which is the same as the y-value of any point on the line.
In this case, the line passes through the point (4,2), so the y-value is 2. Therefore, the equation of the line in slope intercept form is y = 2.
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Two cars leave a city and head in the same direction. After 6 hours, the faster car is 30 miles ahead of the slower car. The slower car has traveled 276
speeds of the two cars
miles. Find the speed of the two cars
Answers
Answer:
6x = 360
rate = x = 60 mph (Faster car rate)
Slower car rate = distance/time = 294/6 = 46 mph
Step-by-step explanation
brainly pls
To reduce a fraction, divide the numerator and denominator by the ? . Select one:
a. denominator
b. numerator
c. same number
d. smallest fraction
Answers
To reduce a fraction, you divide the numerator and denominator by the same number.
This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.
Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.
Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.
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Christian had $80.45 in his bank account on Monday.He deposited $20.50 on Tuesday.He then withdrew 37.25 on Wednesday.How much did Christian have left in his account on Thursday?
Answers
Answer:
138.2
Step-by-step explanation:
Answer:
For thursday he had 63.70 $
Step-by-step explanation:
80.45 + 20.50 - 37.25
63.70
Graph the inequality. -2
Answers
(14) (55, 42, 32, 48, 55, x), mean = 49
Answers
Answer:
78
Step-by-step explanation:
Add all the numbers given =256 then take the mean and multiply it with 7 =334 then take 334_256=78 and done
Calvin owns a toy store. He can spend at most $200 on restocking cars and dolls. A doll costs $6.50, and a car costs $8.00. Let x represent the number of cars, and let y represent the number of dolls. Identify an inequality for the number of toys he can buy. Then identify the number of dolls Calvin can buy if he buys 10 cars.
8x + 6.50y ≤ 200; no more than 19 dolls
8x + 6.50y ≤ 200; no more than 18 dolls
6.50x + 8y ≤ 200; no more than 19 dolls
6.50x + 8y ≤ 200; no more than 18 dolls
Answers
The required inequality expression is 8x + 6.50y ≤ 200
Maximum amount he can spend = $200
Cost of doll, = $6.50
Cost of car = $ 8.00
Mathematically, the maximum amount he can spend on restocking is cars and doll is :
(Cost of cars × number of cars) + (cost of doll × number of dolls) ≤ maximum amount
8x + 6.50y ≤ 200
Hence, the required inequality expression is : 8x + 6.50y ≤ 200
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The MD has placed an order for 15mg of albuterol and 0.5mg of atrovent to be given over one hour. The nebulizer you use has an output of 10ml oer hour when running at 4lmp. How much saline would you need to add to your medication to make it last the full hour?
Answers
The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.
To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.
Given:
- Albuterol dose: 15 mg
- Atrovent dose: 0.5 mg
- Nebulizer output: 10 mL per hour
- Nebulizer flow rate: 4 LPM (liters per minute)
First, we need to convert the nebulizer flow rate to mL per hour:
4 LPM * 60 min = 240 mL per hour
Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:
Total medication volume = 15 mg + 0.5 mg
Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.
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use the binomial theorem to find the coefficient of x^2y^15 in the expansion of (5x^2 + 2y^3)^6,where
a. a= 6 b = 9
b. a=2 b=15
c. a=3 b = 12
d. a=12 b= 0
e. a=8 b=9
note: ignore e),on c) a= 4 not 3
Answers
The coefficient of x^2y^15 in the expansion is 0. So, none of the given choices (a, b, c, d) is correct.
To find the coefficient of x^2y^15 in the expansion of (5x^2 + 2y^3)^6, we can use the binomial theorem.
The binomial theorem states that for any positive integers n and m, the coefficient of x^n * y^m in the expansion of (a + b)^n is given by the expression:
C(n, m) * a^(n-m) * b^m,
where C(n, m) is the binomial coefficient, which can be calculated as:
C(n, m) = n! / (m! * (n-m)!),
where n! represents the factorial of n.
In this case, we have (a + b)^6, where a = 5x^2 and b = 2y^3. We want to find the coefficient of x^2y^15, so n = 6, m = 15, a = 5x^2, and b = 2y^3.
Let's calculate the coefficient using the binomial theorem:
C(6, 15) * (5x^2)^(6-15) * (2y^3)^15
Since the exponent of x in the term (5x^2) is 2, and we want the coefficient of x^2, the exponent of x in the binomial coefficient will be (6-2) = 4.
C(6, 15) * (5^4 * x^8) * (2^15 * y^45)
Now, let's calculate the binomial coefficient:
C(6, 15) = 6! / (15! * (6-15)!) = 0
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Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate? One-sixth cups Five-sixths cups 1 and two-thirds cups 1 and StartFraction 5 over 6 EndFraction cups
Answers
Answer:
3089/11220
Approximately = 0.2753
Step-by-step explanation:
Patel estimates that he needs 2 cups of Orange juice.
But let's know the amount he already has.
4/17 + 3/10 + 9/20 + 3/11 + 7/15
= 3/10 + 9/20 + 7/15 + 3/11 + 4/17
=( 18 + 27 + 28)/60 + (51+44)/187
= 73/60 + 95/187
=( 13651 + 5700)/11220
= 19351/11220
= 1(8131/11220)
So to complete it two he needs ( 11220-8131)/11220= 3089/11220
Approximately = 0.2753
Answer:
1/6 is your answer.
‼️will mark as Brainlist‼️During a sale, a store offered a 30% discount on a tablet computer that originally sold for $670. After the sale, the discounted price of the tablet computer was marked up by 30%. What was the price of the tablet computer after the markup? Round to the nearest cent.
Answers
According to the discount, the price of the tablet computer after the markup is $610.30.
In this problem, a store offered a 30% discount on a tablet computer that originally sold for $670. We can calculate the discounted price of the tablet computer by finding 30% of its original price and subtracting it from the original price.
Discounted price = Original price - Discount
Discounted price = $670 - 30% of $670
Discounted price = $670 - $201
Discounted price = $469
So, the discounted price of the tablet computer is $469.
The problem then asks us to find the price of the tablet computer after it is marked up by 30%. To do this, we need to add 30% of the discounted price to the discounted price.
Markup price = Discounted price + Markup
Markup price = $469 + 30% of $469
Markup price = $469 + $141.30
Markup price = $610.30
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What is the margin of error in the interval (2.56, 4.56) ΜΕ = POINT
Answers
The margin of error cannot be determined solely based on the given interval (2.56, 4.56) and the information "ME = POINT." It seems there is missing or incomplete information necessary to calculate the margin of error accurately.
In statistical terms, the margin of error represents the range within which the true value is expected to lie based on a sample. It is typically associated with confidence intervals, which provide an estimate of the uncertainty around a sample statistic. To calculate the margin of error, additional information is needed, such as the sample size, standard deviation, or confidence level. With these details, one can employ statistical formulas to determine the margin of error.
For example, if we have a sample size and standard deviation, we can calculate the margin of error using the formula:
Margin of Error = (Z * σ) / √n
Where Z is the z-score corresponding to the desired confidence level, σ is the standard deviation, and n is the sample size.
Without the required information, it is not possible to provide a specific margin of error for the given interval. It is crucial to have a complete set of data or specifications to calculate the margin of error accurately and derive meaningful insights from the statistical analysis.
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formular for area of a circle
Answers
Answer:
Tr2
Step-by-step explanation:
pie * radius * radius
Answer:
πr²Step-by-step explanation:
The circumference of a circle is given to be 2πr, and its radius to be r.
Area = 1/2 x circumference x radiusArea = 1/2 x 2πr x rArea = πr²Suppose that a marginal revenue function is given by R (x)=500−12x. It is known that R(11)=474. What is the correct interpretation of this result? Select the correct answer below: a) At a production rate of 11 units, the revenue is decreasing at a rate of 474 . b) At a production rate of 11 units, the revenue is increasing at a rate of 474 . c) The total revenue generated at a production rate of 11 units is 474 . d) None of the above.
Answers
The correct interpretation is that the total revenue generated at a production rate of 11 units is $368. The Correct option is:
d) None of the above.
How We Calculated The Total Revenue Generated?The marginal revenue function R(x) represents the additional revenue generated by producing and selling one additional unit of a product. In this case, the marginal revenue function is given by R(x) = 500 - 12x.
The notation R(11) refers to evaluating the marginal revenue function at a production rate of 11 units, which means substituting x = 11 into the function. So, we have R(11) = 500 - 12(11) = 500 - 132 = 368.
The interpretation is that at a production rate of 11 units, the total revenue generated is $368.
This means that by producing and selling 11 units of the product, the company earns $368 in revenue.
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Storage Box: Pt 2
Lin's teacher uses the box to store her set of cubes with an edge length of 1/2 inch. If the box is completely full, how many cubes are in the set?
(The volume is 56 cubic inches) (The height is 3.5)
Answers
There are 224 Cubes in the set with an edge length of 1/2 inch that can fit in the storage box.
The volume of the storage box is 56 cubic inches and the height is 3.5 inches, then the base area of the box can be calculated as:
Base area = Volume / Height = 56 / 3.5 = 16 square inches
Each cube has an edge length of 1/2 inch, which means the volume of each cube is:
Volume of each cube = (1/2)^3 = 1/8 cubic inches
To find out how many cubes can fit in the base area of the box, we need to divide the base area by the area of each cube:
Number of cubes in the base area = Base area / Area of each cube
= 16 / (1/4)
= 64
Since there are 64 cubes in the base area, and the height of the box is 3.5 inches, the total number of cubes in the set is:
Total number of cubes = Number of cubes in the base area x Height
= 64 x 3.5
= 224
Therefore, there are 224 cubes in the set with an edge length of 1/2 inch that can fit in the storage box.
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statistics is a rigorous branch of mathematics that deals with group of answer choices data mining visualization understanding data linear regression all of the above
Answers
Statistics is a rigorous field that provides a set of tools and techniques for understanding and making decisions based on data. Correct option is C.
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used in a wide range of fields, from business and finance to social sciences, engineering, and healthcare.
One of the key goals of statistics is to summarize and make sense of complex data, and this is often done through the use of visualization techniques such as histograms, scatterplots, and box plots.
Statistics also involves techniques such as data mining, which involves the use of algorithms and computational methods to analyze large data sets, and linear regression, which is a technique for modeling the relationship between two variables.
In addition to its practical applications, statistics is also important for understanding the world around us. It can be used to test hypotheses, evaluate the reliability of data, and make predictions about future events. Overall, statistics plays a vital role in modern society by helping us make sense of the vast amounts of data that we encounter every day.
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Complete question is:
Statistics is a rigorous branch of mathematics that deals with
group of answer choices
A. data mining
B. visualization
C. understanding data
D. linear regression
E. all of the above
a) how many 15-year old students took part in the survey?
Answers
By observing the frequency polygon,
the number of 15 year old students who took part in the survey are 300.
What is frequency polygon?A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data.
To calculate the number of students, we add all frequency points corresponding to the time intervals.
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the odds that a child entering a convenience store with her parents will not get a package of cupcakes are 1 to 14. what is the probability she will get a package of cupcakes? a) 0.0116 b) 0.9333 c) 0.1628 d) 0.0667 e) 0.0714 f) none of the above.
Answers
The probability she will get a package of cupcakes is none of the above.
There is a chance of receiving a box is
The likelihood of receiving a box of cupcakes is 14/15
The odds of not getting a package of cupcakes is 1 : 14.The probability of missing out on the cupcake package
1/14+1 = 1/15
Receiving a box of cupcakes is likely to happen
1 - 1/15
= 15-1 / 15
=14 / 15
How does probability explain work?Simply put, probability is the likelihood that something will occur. We can discuss the likelihood of several outcomes or the potential of one outcome when we are unsure of how something will turn out.
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Himesh has blocks like the one shown below. 6 cm -8 cm- -7 cm- He wants to build a 40 cm high tower with such blocks. What is the LEAST number of blocks with which he can do this?
Answers
The least number of blocks with which he can do is 168 blocks.
What is the least Common Multiple (LCM)?
The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.
Least number of blocks = LCM of 6cm, 7cm, and 8cm.
Multiples of 6 - 6,12,18,24,30,36,42,48,54,60
Multiples of 7 - 7,14,21,28,35,42,49,56,63,70
Multiples of 8 - 8,16,24,32,40,48,56,64,72,80
Common Multiples - 168
Least Common Multiple - 168
So the least number of blocks with which he can do is 168 blocks.
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Helppppppppp me plz I rlly. We’d help
Answers
Answer:
c = 4,9
d = 4,6