The side length of the the rectangular garden are 20 feet by 5 feet.
Calculating the size of a Rectangular GardenLet
s = side length of the square garden
l = length of the rectangular garden
w = width of the rectangular garden
From the problem statement,
area of the square garden = area of the rectangular garden
Since the area of a square is just the side length squared, we can write:
s² = l * w
We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:
l = s + 10
w = s - 5
Now we can substitute these expressions for l and w into our first equation:
s² = (s + 10) * (s - 5)
Expanding the right-hand side, we get:
s² = s² + 5s - 50
0 = 5s - 50
5s = 50
Dividing both sides by 5, we get:
s = 10
Since the side length of the square garden is 10 feet.
We can use this to find the dimensions of the rectangular garden:
l = s + 10 = 10 + 10 = 20
w = s - 5 = 10 - 5 = 5
So the dimensions of the rectangular garden are 20 feet by 5 feet.
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Write the absolute value equation that has the following solutions.
One solution: x = 15
The absolute value equation is:
|x - 15| = 0
How to write the absolute value equation?We want an absolute value equation that only has the solution x = 15.
So we must have something equal to zero (so we avoid the problem with the signs that we can have with other numbers)
So the equation will be something like:
|x - a| = 0
And the solution is 15, so:
|15 - a | = 0
then a = 15
The equation is:
|x - 15| = 0
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Q6 : "Social media has become a ubiquitous part of modern life, allowing people to connect with friends, family, and strangers from all around the world. However, social media use has been linked to a number of negative mental health outcomes, including increased rates of depression, anxiety, and stress. This is due in part to the constant pressure to present a perfect image of oneself, leading to feelings of inadequacy and self-doubt. Additionally, the endless stream of news and information on social media can be overwhelming and lead to feelings of information overload and burnout. However, not all social media use is negative. Research has also shown that social media can be a valuable tool for promoting social support and connection, particularly among marginalized communities. It can also be a source of education and awareness, allowing people to learn about important issues and engage with social and political causes." What is one negative mental health outcome associated with social media use?"
Increased social support and connection
Greater awareness of social and political issues
Higher rates of depression and anxiety
Improved self-esteem and self-worth
Higher rates of depression and anxiety are one negative mental health outcome associated with social media use
Social media and modern life:The paragraph discusses the role of social media in modern life and its impact on mental health. It notes that social media has become a ubiquitous part of life that allows people to connect with others from around the world, including friends, family, and strangers.
However, the paragraph goes on to mention that social media use has been linked to negative mental health outcomes such as depression, anxiety, and stress.
These negative outcomes may be due to the pressure individuals feel to present a perfect image of themselves online, leading to feelings of inadequacy and self-doubt.
Despite these negative outcomes, the paragraph notes that social media can also be valuable for promoting social support and connection, especially among marginalized communities.
Furthermore, it can be a source of education and awareness, allowing people to learn about important social and political issues and engage with them.
Hence,
Higher rates of depression and anxiety are one negative mental health outcome associated with social media use
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Explain Why 387 is not a term of the sequence
Answer:
In order to determine whether 387 is a term of a sequence, we need to know the rule or formula for generating the sequence. Without this information, it is not possible to determine whether 387 is a term of the sequence or not.
If we assume that the sequence is an arithmetic sequence, where each term is obtained by adding a fixed constant to the previous term, we can use the following formula to determine whether 387 is a term of the sequence:
an = a1 + (n-1)d
where a1 is the first term of the sequence, d is the common difference between consecutive terms, and n is the term we are trying to find.
If we substitute the values for the first few terms of the sequence, we can check whether 387 is a term or not. For example, if the first few terms of the sequence are:
a1 = 3
a2 = 8
a3 = 13
a4 = 18
and so on, with a common difference of 5 between consecutive terms, we can use the formula to find the value of the 129th term of the sequence:
a129 = a1 + (129-1)d
a129 = 3 + 128(5)
a129 = 643
Since 387 is not equal to 643, it is not a term of this sequence. However, without knowing the rule or formula for generating the sequence, it is impossible to say for certain whether 387 is a term or not.
PLEASE HELP ME WITH THIS!!!!! I NEED HELP! A backyard pool is in the shape of a rectangle. The pool has a perimeter of 90 feet and and area of 500ft^2. which of the following could he the pools length and width? 1) 15 feet and 30 feet 2)10 feet and 35 feet 3) 50 feet and 10 feet 4) 25 feet and 20 feet.
Answer:3) 50 feet and 10 feet
Step-by-step explanation: Multiply every single choice
Answer:
4)
Step-by-step explanation:
Let x1 = length; x2 = width
+) x1 × x2 = 500
+) 2(x1 + x2) = 90 => x1 + x2 = 45
=> x1 and x2 are the roots of equation: [tex]x^2-45x+500=0[/tex]
=> x1 = 25; x2 = 20
Will mark brainliest if answer is correct
Using factorization and simplifying the equations, the points of intersections are (-2, 0), ( [ -1 - 3√(7) ] / 2, 4[ -1 - 3√(7) ] / 2 - 11 ) and ( [ -1 + 3√(7) ] / 2, 4[ -1 + 3√(7) ] / 2 - 11 )
What is the points of intersection of both functionsWe are given two equations:
y = 4x² - 3x + 3
y = x³ + 7x² - 3x + d
and we know that they intersect at x = -4, so we can substitute -4 for x in both equations:
y = 4(-4)² - 3(-4) + 3 = 49
y = (-4)³ + 7(-4)² - 3(-4) + d = -64 + 112 + 12 + d = 60 + d
So, at x = -4, we have y = 49 and y = 60 + d. Since the graphs intersect, these two equations must be equal:
49 = 60 + d
Solving for d, we get:
d = -11
Therefore, the two equations become:
y = 4x² - 3x + 3
y = x³ + 7x² - 3x - 11
We can now set them equal to each other:
4x² - 3x + 3 = x³ + 7x² - 3x - 11
Simplifying and rearranging, we get:
x³ + 3x² - 8x - 14 = 0
We can try to factor this expression by testing possible roots. One possible root is x = 2, because if we substitute 2 for x, we get:
2³ + 3(2)² - 8(2) - 14 = 8 + 12 - 16 - 14 = -10
Since this expression evaluates to a non-zero value, x = 2 is not a root. Similarly, we can test x = -1:
(-1)³ + 3(-1)² - 8(-1) - 14 = -1 + 3 + 8 - 14 = -4
This expression also evaluates to a non-zero value, so x = -1 is not a root. Finally, we can test x = -2:
(-2)³ + 3(-2)² - 8(-2) - 14 = -8 + 12 + 16 - 14 = 6
This expression evaluates to zero, so x = -2 is a root. Using long division or synthetic division, we can divide the cubic polynomial by x + 2 to get:
x³ + 3x² - 8x - 14 = (x + 2)(x² + x - 7)
The quadratic factor x² + x - 7 can be factored using the quadratic formula, giving us:
x² + x - 7 = [ -1 ± √(1 + 4*7) ] / 2
= [ -1 ± 3√(7) ] / 2
Therefore, the three intersection points are:
(-2, 0)
( [ -1 - 3√(7) ] / 2, 4[ -1 - 3√(7) ] / 2 - 11 )
( [ -1 + 3√(7) ] / 2, 4[ -1 + 3√(7) ] / 2 - 11 )
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If $r=9$ and $4r+3s=75$, what is the value of $s$? asap answer i only have like 1 hour to answer 50 questions
Answer:
the value of $s$ is 13.
Step-by-step explanation:
We are given that $r=9$ and $4r+3s=75$. We can use the value of $r$ to find $s$.
Substituting $r=9$ into the second equation, we get:
$4(9) + 3s = 75$
Simplifying the left-hand side, we get:
$36 + 3s = 75$
Subtracting 36 from both sides, we get:
$3s = 39$
Dividing both sides by 3, we get:
$s = 13$
Therefore, the value of $s$ is 13.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 12 , 18 , 27 , . . . Find the 8th term.
Answer: 205.031(nearest thousandth)
or 205.03125
Step-by-step explanation:
Pedro wants to grow tomatoes and herbs so he can make his own fresh pizza sauce. Pedro's planter box is seven feet long and four feet wide on the inside. Pedro fills the planter box with soil to a height of two feet. What is the volume of soil in Pedro's planter box?
According to the question the volume of soil in Pedro's planter box is 56 cubic feet (ft³).
What is volume?Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is measured in units of cubic centimeters (cm3), cubic meters (m3) or liters. Volume is an important concept in many areas of mathematics, including geometry, calculus and physics. It is also a key concept in many other disciplines, including engineering, architecture and the sciences. Volume is an important property of a solid object, and it is often used to quantify the size or capacity of an object. Volume can be calculated by multiplying the length, width and height of an object. It can also be calculated using the formula for the volume of a cylinder, cone, sphere or other shapes.
To calculate this, we need to multiply the length of the planter box (7 ft) by the width (4 ft) by the height of the soil (2 ft). This gives us the following equation: 7 ft x 4 ft x 2 ft
= 56 ft³.
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14 points!! PLEASE HELP MARKING BRAINLIST
Answer:
x = 58.03°
Step-by-step explanation:
Given:
17 cm is the length of the hypotenuse9 cm is the length of the adjacent sideSolve for x:
cos x = adjacent / hypotenusex = [tex]cos^{-1}(\frac{adjacent}{hypotenuse})[/tex]1. [tex]x=cos^{-1}(\frac{9}{17})=58.03[/tex]
Answer:
So, the measure of angle x is equal to 58.03.
There is a sale at khols, and tennis shoes are 30% off. How much are you saving if the shoes originally cost $62
Answer: $18.6
Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off
Need help with this (SERIOUS ANSWERS ONLY)
Answer: d=10
Step-by-step explanation:
A diamond merchant received a shipment of 7/10 of a pound of diamonds. He divided the diamonds into 7 equal lots and sold them to jewelers for making rings and necklaces. What was the weight of the diamonds in each lot?
Write your answer as a fraction or as a whole or mixed number.
The weight of the diamonds in each lot was 1/10 of a pound, or 0.1 pound.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic sequence with a common difference of 3, since each term after the first is found by adding 3 to the preceding term.
The nth term of an arithmetic sequence can be found using the formula:
an = a1 + (n-1)d.
The merchant received 7/10 of a pound of diamonds and divided them into 7 equal lots. To find the weight of each lot, we need to divide 7/10 by 7:
(7/10) ÷ 7 = (7/10) × (1/7) = 1/10
Therefore, the weight of the diamonds in each lot was 1/10 of a pound, or 0.1 pound.
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please help me with my math
Answer:
14.4
Step-by-step explanation:
percentage for corn =30
total no. of acres of the land=48
=30 × 48
100
=14.4
The number of deer on an island is given by D=200+100sin( 2 π x), where x is the number of years since 2000. Which is the first year after 2000 that the number of deer reaches 150 ?
Therefore, the first Leap year after 2000 that the number of deer reaches 150 is 2000.1, or 2000 and 1/10 of a year.
What are a leap year and a year?If you sum up all the days on a calendar from January to December, there are 365 in a regular year. But about every four years, February has 29 days rather than 28. Therefore, a year has 366 days. There is a term for it: a leap year.
We must find x in the equation D=150 in order to determine the year that the number of deer exceeds 150 for the first time after 2000.
150=200+100sin(2πx)
Subtracting 200 from both sides, we get:
-50 = 100sin(2πx)
Dividing both sides by 100, we get:
-0.5 = sin(2πx)
To find the value of x that satisfies this equation, we can take the inverse sine of both sides:
sin⁻¹(-0.5) = 2πx
Using a calculator, we find that sin⁻¹(-0.5) = -π/6.
-π/6 = 2πx
Solving for x, we get:
x = -1/12
Since x is the number of years since 2000, we need to add 1/12 to find the first year after 2000 that the number of deer reaches 150:
2000 + 1/12 ≈ 2000.1
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Use the image to determine the line of reflection.
An image of polygon VWYZ with vertices V at negative 7, negative 2, W at negative 7, negative 4, Y at negative 1, negative 4, and Z at negative 1, negative 2. A second polygon V prime W prime Y prime Z prime with vertices V prime at 11, negative 2, W prime at 11, negative 4, Y prime at 5, negative 4, and Z prime at 5, negative 2.
Reflection across the x-axis
Reflection across the y-axis
Reflection across y = −2
Reflection across x = 2
An image of polygon VWYZ has a line of reflection across the x-axis. So option A is correct.
What is the line of reflection?In geometry, the line of reflection is the line over which a figure is reflected. When a point is reflected over a line, it moves the same distance on the opposite side of the line. The line of reflection is perpendicular to the figure at the point of reflection and is equidistant from the figure and its reflection.
What is a polygon?A polygon is a closed two-dimensional shape with straight sides. The sides are line segments that intersect only at their endpoints, called vertices. Polygons can have any number of sides, but they must have at least three. Common examples of polygons include triangles, squares, rectangles, pentagons, hexagons, and octagons.
What is the formula for the line of reflection?The formula for the line of reflection in a Cartesian coordinate system is:
x = a
where a is the equation of the line of reflection.
This formula represents a vertical line that passes through the point (a, 0) and reflects points across the line of reflection to their corresponding images on the other side.
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Answer:
reflection across x=2
Step-by-step explanation:
the picture should be able to explain itself! :)))
Write an expression for the total length of the line segments, and simplify it. z z 8 and x x x
None of the given numbers make the equation 8/y² + 2 true
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
To solve this problem, we can substitute each of the given numbers (0, 1, 2, 3, 4) for y in the equation 8/y² + 2 and see if the equation is true.
Substituting y=0 would make the denominator of the fraction zero, which is undefined, so y=0 is not a valid choice.
Substituting y=1 would give us:
8/1² + 2 = 8 + 2 = 10
So, 1 is not the answer.
Substituting y=2 would give us:
8/2² + 2 = 8/4 + 2 = 2 + 2 = 4
So, 2 is not the answer.
Substituting y=3 would give us:
8/3² + 2 = 8/9 + 2 = 0.888 + 2 = 2.888
So, 3 is not the answer.
Substituting y=4 would give us:
8/4² + 2 = 8/16 + 2 = 0.5 + 2 = 2.5
So, 4 is not the answer.
Therefore, none of the given numbers make the equation 8/y² + 2 true.
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Janna's health class measures the heart rates of students after they walked for five minutes. The heart rates, in beats
per minute, were as follows.
102, 74, 86, 74, 96, 95, 103, 102 Find the median of the data set. What does the median tell you? (Hint: If the data set has an even number of values,
the median is the mean of the two middle values.)
The median of the data set is: 95.5
What is median?
median is the number at the middle of the given data.
To find the median of the data set {102, 74, 86, 74, 96, 95, 103, 102}, we first need to arrange the values in order from lowest to highest:
74, 74, 86, 95, 96, 102, 102, 103
Since the data set has an even number of values, the median is the mean of the two middle values. In this case, the two middle values are 95 and 96.
Therefore, the median of the data set is: (95 + 96) / 2 = 95.5
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i don't understand this question please help me answer it :)
the 3rd and 6th term in fibonacci sequence are 7 and 31 respectively find the 1st and 2nd terms of the sequence
Answer:
7 and 31 it asks
the 3rd and 6th is
The 1st and 2nd terms of this Fibonacci sequence, given the 3rd and 6th terms would be 2 and 5.
How to find the Fibonacci sequence terms ?Let's denote the first and second terms of the Fibonacci sequence as F1 and F2. The Fibonacci sequence is defined by the recurrence relation:
F(n) = F(n-1) + F(n-2)
We are given that the 3rd term (F3) is 7 and the 6th term (F6) is 31. We can use this information to set up the following equations:
F3 = F2 + F1 = 7
F6 = F5 + F4 = 31
We can also express F4 and F5 in terms of F1 and F2:
F4 = F3 + F2 = (F2 + F1) + F2 = F1 + 2F2
F5 = F4 + F3 = (F1 + 2F2) + (F2 + F1) = 2F1 + 3F2
Now, let's substitute equation (4) into equation (2):
F6 = 2F1 + 3F2 + F1 + 2F2 = 31
3F1 + 5F2 = 31
By trial and error, we can find the possible values for F1 and F2 that satisfy this equation:
F1 = 1, F2 = 6: 3(1) + 5(6) = 3 + 30 = 33 (not a solution)
F1 = 2, F2 = 5: 3(2) + 5(5) = 6 + 25 = 31 (solution)
The solution is F1 = 2 and F2 = 5, so the first two terms of the Fibonacci sequence are 2 and 5.
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How many 5 digit numbers can be formed?
Answer:
Step-by-step explanation:
a lot (90,000) (i think)
A satellite calculates the distances and angle shown in the figure below (not to scale).Find the distance between the two cities. Round to the nearest tenth.
The distance between city A and city B is approximately 442.3 km.
What is the law of cosine?
The Law of Cosines, also known as the Cosine Rule, is a mathematical formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. Specifically, it states that:
c² = a² + b² - 2ab cos(C).
We can use the Law of Cosines to find the distance between City A and City B. Let's call this distance d.
From the information given, we know that:
The distance between the satellite and city A is 450 km.
The distance between the satellite and city B is 340 km.
The angle between city A, the satellite, and city B is 1.5 degrees.
Using the Law of Cosines, we have:
d² = 450² + 340² - 2(450)(340)cos(1.5)
d² = 202500 + 115600 - 2(450)(340)cos(1.5)
d² = 318100 - 122328.8
d² = 195771.2
d = √195771.2
d ≈ 442.3
Therefore, the distance between city A and city B is approximately 442.3 km (rounded to the nearest tenth).
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Jackson has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $27.40? Round to the nearest cent.
Jackson's total cost after the discount and before tax would be $24.67.
Calculating discounted price :When a store offers a discount, it reduces the price of the item by a certain percentage. In this case, Jackson has a loyalty card that gives him a 10% discount on his purchase.
To calculate the price after the discount, we multiply the original price by 1 minus the discount percentage (in decimal form).
Here we have
Jackson has a 10% discount at his local hardware store.
Let 'x' be the cost before tax
After a 10% discount,
The amount that Jackson could pay 90% of the cost
Given that he wants to buy $ 27.40
The cost of items after discount = 90% of 27.40
= [ 90/100 ] × 27.40
= [ 0.9 ] × 27.40
= 24.66
Therefore,
Jackson's total cost after the discount and before tax would be $24.67.
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Which equation shows how to find a percentage?
O
part
10
=
percent
100
part
100
=
percent
10
percent
whole
=
part
whole
percent
whole
part
whole
The equation that shows how to find a percentage is:
part/whole = percent/100
This equation can be used to solve for any of the three variables, given the values of the other two.
What fractions are close to 1 than to 0
The answer of the given question based on the fraction is , a value that is greater than 1/2.
What is Fraction?A fraction is mathematical expression that represents part of whole or ratio between the two numbers. It is expressed in the form of a ratio of two integers, with a numerator and a denominator separated by a horizontal or slanted line called a fraction bar.
Fractions that are closer to 1 than to 0 have a value that is greater than 1/2. This is because 1/2 is exactly halfway between 0 and 1 on the number line.
So, any fraction that has a numerator greater than its denominator is closer to 1 than to 0. For example:
2/3 is closer to 1 than to 0 because it is greater than 1/2
7/8 is closer to 1 than to 0 because it is greater than 1/2
3/4 is closer to 1 than to 0 because it is greater than 1/2
On the other hand, fractions that have a value less than 1/2 are closer to 0 than to 1. For example:
1/4 is closer to 0 than to 1 because it is less than 1/2
3/10 is closer to 0 than to 1 because it is less than 1/2
2/5 is closer to 0 than to 1 because it is less than 1/2
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answer these questions in detail
Answer:
5. x = 60
6. F' (1, 4)
Step-by-step explanation:
5. The angles shown are same side exterior angles, so they are supplementary (add to 180)
(x + 85) + 35 = 180
x + 120 = 180
x = 180 - 120 = 60
x = 60
6. The line x = 1 is a vertical line, passing through the x=axis at (1, 0). All x coordinates on this line equal 1.
The point F (3,4) is reflected in the line x = 1 at the point F' (1, 4)
yara said that the vertical distance between two points is -5 units how do you know that yara's statement is incorrect
Stop using brainly. This whole website has became a big money grab over the last few months and they will remove all your posts and answers unless you pay them money. I've had it happen several times now.
The length of a rectangle is 2 units more than the width. The area of the rectangle is
24 square units. What is the width, in units, of the rectangle?
The width of the rectangle is 4 units.
What is rectangle?
Rectangle is a four sided polygon or specifically a particular type of parallelogram having two opposite sides are equal and one angle is right angle that is 90°. It has four vertices and two diagonals intersect each other.
Given that,
The length of a rectangle is 2 units more than the width.
Let, the width of the rectangle is w units.
Then the length of the rectangle is w+2 units.
Area of any rectangle is length × width
= (w+2)×w square units
Given that,
The area of the rectangle is 24 square units.
Equating both the values we get,
w(w+2)= 24
We have to solve the equation for w.
Multiplying the bracket term with w we get,
w²+ 2w = 24
⇒ w² + 2w- 24=0
⇒ (w+6)(w-4)=0
so either w= -6 or w=4
As width cannot be negative so w= 4.
Hence, the width of the rectangle is 4 units.
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Suppose Fatima went to buy a $25,000 car and wanted to own it after 5 years. If she got a
4.7% interest rate, what is her monthly payment?
Therefore, Fatima's monthly payment would be $460.23.
What is interest?Interest is the amount of money that is charged by a lender to a borrower for the use of money or a loan. It is usually calculated as a percentage of the principal amount (the amount of money borrowed) and can be either simple or compound, depending on the type of loan. Interest is typically paid by the borrower to the lender over a set period of time, such as monthly, quarterly, or annually. The interest rate can be fixed or variable, and is determined by a variety of factors including the borrower's creditworthiness, the amount of the loan, and the length of the repayment period.
Here,
To calculate the monthly payment for a car loan, we need to use the formula:
M = P [ i(1 + i)ⁿ] / [ (1 + i)ⁿ – 1]
Where:
M = monthly payment
P = principal (the amount of the loan)
i = monthly interest rate (annual interest rate divided by 12)
n = number of months
First, we need to calculate the monthly interest rate:
i = 4.7% / 12
= 0.003917
Next, we need to calculate the number of months:
n = 5 years x 12 months/year
= 60 months
Now, we can plug in the values and solve for M:
M = 25,000 [ 0.003917(1 + 0.003917)⁶⁰ ] / [ (1 + 0.003917)⁶⁰ – 1]
M = $460.23 (rounded to the nearest cent)
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Ejercicio 1.9. En el ΔPQR, A y B son los puntos medios de PQ y RQ respecvamente.
Si RP = 16, m∠P = 58° y m∠Q = 38°, obtenga
AB y m∠BAQ.
The length of line segment AB is equal to 8 units.
The magnitude of m∠BAQ is equal to 58°.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector can be defined as a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, the length of line segment AB can be calculated by using the following mathematical equation;
RP = 2AB
AB = RP/2
AB = 16/2
AB = 8 units.
Since A and B are the midpoints of PQ and RQ respectively, we have the following angles;
m∠P + m∠Q + m∠R = 180° (sum of all interior angles of ∆PQR)
58° + 38° + m∠R = 180°
m∠R = 180° - (58° + 38°)
m∠R = 84°
Since PR || AB, we have;
m∠R = m∠ABQ = 84° (corresponding angles).
m∠Q + m∠ABQ + m∠BAQ = 180° (sum of all interior angles of ∆ABQ).
m∠BAQ = 180° - (84° + 38°)
m∠BAQ = 180° - 122°
m∠BAQ = 58°.
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Complete Question:
In the ΔPQR, A and B are the midpoints of PQ and RQ respectively. If RP = 16, m∠P = 58°, and m∠Q = 38°, obtain AB and m∠BAQ.
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