================================================
Explanation:
These are the steps to focus on
step 3: -6x - 8 < -2
step 4: -6x < 6
The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.
That property has four forms
If [tex]a > b[/tex] then [tex]a + c > b+c[/tex]If [tex]a < b[/tex] then [tex]a+c < b+c[/tex]If [tex]a \ge b[/tex] then [tex]a + c \ge b+c[/tex]If [tex]a \le b[/tex] then [tex]a+c \le b+c[/tex]It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c
We add the same thing to both sides to keep things balanced.
Joel hit b baseballs at practice and another 15 baseballs at the batting cage. Choose the expression that shows how many baseballs Joel hit in all.
The expression that shows how many baseballs Joel hit in all is y = b + 15.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that Joel hit (b) baseballs at practice and another 15 baseballs at the batting cage.
We can write the expression that shows how many baseballs Joel hit in all is given by -
y = b + 15
Therefore, the expression that shows how many baseballs Joel hit in all is y = b + 15.
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
Isaac goes to the Saturday market with $42 cash. He buys two posters that each cost SP. He leaves the market with $21 cash. What equation
represents this situation?
• 42-p-p=21
• 42/p=21
• 42-p+p=21
•21+42=2•P
The first equation that represents 42 - p -p= 21 is correct.
What is equation and there uses?
An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.
What equation represent the statements given in question?
Isaac has $42 cash in hand when arrived Saturday market.
He buys two posters that each cost selling price or SP.
when he leaved the market had $21 cash in hand.
assume, each poster has a price = p
The situation is represented by the following.
initial amount - cost for two posters = final amount
42 - p - p = 21
hence, the first equation that given in the question is correct.
To learn more about equation visit:
https://brainly.com/question/29144139
#SPJ1
If ABCDPQRS,
find the scale factor
of ABCD to PQRS and the perimeter
of each polygon.
Therefore ,the solution tot he given problem of rectangle comes out to be Perimeter ABCD 68 unit and Perimeter PQRS 85 unit.
What is rectangle?A rectangle in Euclidean physics and engineering is a shape with four sharp angles. You may also put it like this: When all of a quadrilateral's angles are equal, it is said to be equiangular. A straight angle is another another option for the parallelogram. In a square, four of the vertices are the same length. A quadrilateral with a rectangle-shaped cross section has four 90° apexes and equal neighboring sides. As a result, it is sometimes referred to as a "equirectangular rectangle". Due to the uniform and perpendicular lengths of its opposing sides, a rectangle is also known as a parallelogram.
Here,
Given : ABCD ~PQRS
From the given information We get:
Scale factor = 4/5
and
Perimeter ABCD :
=> 2(l+b)
=> 2(20+14)
=>68
and
Perimeter PQRS:
=>2(l+b)
=>2(25 + 17.5)
=>85
Therefore ,the solution tot he given problem of rectangle comes out to be Perimeter ABCD 68 unit and Perimeter PQRS 85 unit.
To know more about rectangle visit:
brainly.com/question/29123947
#SPJ1
PLEASE HELP ASAP WILL GIVE BRAINLIEST
Which linear graph represents a proportional relationship?
If a quantity increases or decreases as per the increase or decrease in other quantity, the two quantities are said to be in a proportional relationship.
And here, the graph representing the proportional relationship is the one with positive slope (2nd graph)
Thomas starts a canned food collection with 2 cans of food. He challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer. Responses The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the vertical line test. The graph of the sequence would pass the vertical line test. Each amount of cans corresponds to a unique day in this sequence. Each amount of cans corresponds to a unique day in this sequence. Each day corresponds to a unique amount of cans in this sequence.
Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.
What is function?A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output.
Here,
We presume Thomas only invited one buddy to participate.
The pattern for days and cans can be seen as follows:
Thomas has two cans on the first day, i.e. cans.
Thomas has four cans on the second day, i.e. cans.
Thomas has 8 cans on the third day, i.e. cans.
Thomas has 16 cans on the fourth day, i.e. cans.
This trend continues until day ten.
So, on x day, Thomas has cans, and x varies from 1 to 10.
As a result, the relevant function is.
This means that for each day (x), there is a distinct value for the number of cans:
The 'Vertical Line Test,' on the other hand, is a test in which we draw a vertical line through the graph and if it cuts the graph at exactly one place, then the graphed curve is a function.
As shown in the graph below, the vertical line intersects f(x) at precisely one location. As a result, f(x) is a function.
As a result, the sequence graph passes the vertical line test.
Furthermore, it is evident that 'every day corresponds to a distinct quantity of cans'. As a result, alternatives B and C are accurate.
To know more about function,
https://brainly.com/question/2697535
#SPJ1
Statins are used to keep cholesterol in check and are a top-selling drug in the
U.S. The equation:
S - 1.5x = 4.9
gives the amount of sales (S) of statin in billions of dollars a years after 1998.
According to this equation, how much will/did people in the U.S. spend on
statins in the year 2010?
Answer: People in the U.S. will spend ??
Billion dollars on statins in 2010.
Answer: 87
Step-by-step explanation:
Which value of x is in the domain of f(x)=√x - 8?
OA. x = 0
OB. x=7
OC. x = -8
OD. x = 10
SUBMIT
Answer: OC. x = -8 is not in the domain of the function f(x) = √x - 8 because the square root of a negative number is not a real number. Therefore, the only value of x that is in the domain of the function is x ≥ 0.
Step-by-step explanation:
which of the lines defined here has/have only one unique intercept? A x=8 B -8x-7y=-7 C 9y=5 D -3x-3y=0
Answer: B has only one unique intercept.
Step-by-step explanation: line has only one unique intercept when it is not a vertical or horizontal line, which means it has a slope.
In this case, line A has the equation x = 8, which is a vertical line and does not have a slope, thus it does not have a unique intercept.
Line B has the equation -8x - 7y = -7, which has a slope of -8/7. Since it has a slope, it has one unique intercept.
Line C has the equation 9y = 5, which is a horizontal line and does not have a slope, thus it does not have a unique intercept.
Line D has the equation -3x - 3y = 0, which has a slope of -3/-3 = 1. Since it has a slope, it has one unique intercept.
Thus, only line B has only one unique intercept.
What is the measure of angle d1
What is the tangent ratio of angle C2
100 POINTS!!!
Answer:
[tex]\sf \tan\left(c_2\right)=\dfrac{OD}{OC}=\dfrac{2\sqrt{66}}{19}[/tex]
Step-by-step explanation:
**Please note that if the segment AO = 3.8 cm then the 50° angle on the given rhombus is incorrect. It should be 49.46° (2 d.p.)**
In a rhombus, all four sides are equal in length. Therefore:
CD = AB = 5cmDiagonals bisect each other at 90°. Therefore:
OC = AO = 3.8 cmm∠COD = 90°Therefore, triangle COD is a right triangle.
To find the tangent ratio of angle c₂, first find the length of OD using Pythagoras Theorem:
[tex]\implies OC^2+OD^2=CD^2[/tex]
[tex]\implies 3.8^2+OD^2=5^2[/tex]
[tex]\implies 14.44+OD^2=25[/tex]
[tex]\implies OD^2=10.56[/tex]
[tex]\implies OD^2=\dfrac{1056}{100}[/tex]
[tex]\implies OD^2=\dfrac{1056 \div 4}{100 \div 4}[/tex]
[tex]\implies OD^2=\dfrac{264}{25}[/tex]
[tex]\implies OD^2=\dfrac{4 \cdot 66}{25}[/tex]
[tex]\implies OD=\sqrt{\dfrac{4 \cdot 66}{25}}[/tex]
[tex]\implies OD=\dfrac{\sqrt{4 \cdot 66}}{\sqrt{25}}[/tex]
[tex]\implies OD=\dfrac{2\sqrt{66}}{5}[/tex]
[tex]\boxed{\begin{minipage}{6 cm}\underline{Tan trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}[/tex]
Given:
θ = c₂O = ODA = OCSubstitute the values into the tan ratio:
[tex]\implies \sf \tan\left(c_2\right)=\dfrac{OD}{OC}[/tex]
[tex]\implies \sf \tan\left(c_2\right)=\dfrac{\frac{2\sqrt{66}}{5}}{3.8}[/tex]
Rewrite 3.8 as 19/5:
[tex]\implies \sf \tan\left(c_2\right)=\dfrac{\frac{2\sqrt{66}}{5}}{\frac{19}{5}}[/tex]
[tex]\implies \sf \tan\left(c_2\right)=\dfrac{2\sqrt{66}}{19}[/tex]
On Saturday, Pam spent 1 hour and 15 minutes working on a puzzle. On Sunday, she spent 48 minutes on the puzzle. How many seconds did Pam work on the puzzle in all?
Using hour and minutes conversion, Pam spent 7380 seconds on the puzzle.
What is the formula for converting hours to minutes?We can convert an hour into minutes by multiplying it by 60 since an hour is made up of 60 minutes. Therefore, if one wants to translate three hours into minutes, they can do it by multiplying three by sixty, which gives them three times sixty or 180 minutes.
On Saturday, Pam spent 1 hour and 15 minutes working on a puzzle.
On Sunday, she spent 48 minutes on the puzzle.
1 hour = 60 minutes
1 minute = 60 second
1 hour = 60 × 60 seconds
1 hour and 15 minutes = 60 × 60 seconds + 15 × 60 seconds
⇒ 3600 + 900 seconds
⇒ 4500 seconds
48 minutes = 48 × 60 = 2880 seconds
Total seconds spent = 4500 + 2800 = 7380 seconds
To learn more about hours and minutes conversion from given link
https://brainly.com/question/28842781
#SPJ1
6. Explain what must occur to the parent
function f(x) = x² to transform the
function to g(x) = (x-4)² +2.
Answer:
4 units right, 2 units up
Step-by-step explanation:
For [tex]g(x)=(x-4)^2+2[/tex], the graph of [tex]f(x)=x^2[/tex] would need to move 4 units to the right and 2 units up. Hence, the vertex would be [tex](4,2)[/tex] if we compare the function g(x) with the form [tex]y=a(x-h)^2+k[/tex].
The image point using the translation (x, y) → (x + 4, y – 1) for the point (3, 3) is:
None of these choices are correct.
(7, 2).
(1, 2).
(7, 4).
Answer:
(7,2)
Step-by-step explanation:
(3,3) 》(x+4, y-1)
3=x
3+4=7
3=y
3-1=2
=(7,2)
Answer:
(7, 2 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 4, y - 1 ) means
add 4 to the original x- coordinate and subtract 1 from the original y- coordinate.
(3, 3 ) → (3 + 4, 3 - 1 ) → (7, 2 )
find the domain of the rational function?
The domain is the set of all real numbers except the x values.
And x : denominator ≠ 0.
What is domain?The collection of all conceivable independent values that a function or relation may take is known as its domain.
Let y = f(x) be a rational function.
And to find the domain of the rational function:
We have to find the all achievable values that rational function can have.
That means, we have to find the values where function is defined.
Rational function have numerator and denominator.
To find the domain of the rational function y = f(x):
Set the denominator ≠ 0 and solve for x.
The domain is the set of all real numbers except the x values mentioned in the last step.
Therefore, the complete explanation is given above.
To learn more about the domain;
https://brainly.com/question/28135761
#SPJ1
Fill the boxes with appropriate denominator /numerator
Answer:
the first box is 3 and the second box is 25
Step-by-step explanation:
Answer: Box 1: 3 Box 2: 25
Step-by-step explanation:
Box 1:
Since the top is divided by 3, you have to do the same to the bottom
9 / 3 = 3
Box 2:
The bottom is multiplied by 1 ⅔, so you do the same to the bottom
1 ⅔ x 15 = 25
Mike bought some books that cost $6 each. He spent a total of $18. How many books did he buy?
Find the sums of the interior angles and the sum of the measures of the exterior angles of the polygon. Please answer 1, 2, and 3, 30 points!!!!!!!!!!!!!!!!!!!!!!!!
The sum of the internal angles of the polygons are
a) The sum is A = 540°
b) The sum is A = 360°
c) The sum is A = 1800°
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the sum of the internal angles of a polygon be represented as A
Now , the value of A is
The sum of exterior angle of n polygon is = 360°
Now ,
a)
The number of sides of the polygon = 5 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the value of n = 5 in the equation , we get
nθ = 180° ( 5 - 2 )
nθ = 180° x 3
nθ = 540°
b)
The number of sides of the polygon = 4 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the value of n = 4 in the equation , we get
nθ = 180° ( 4 - 2 )
nθ = 180° x 2
nθ = 360°
c)
The number of sides of the polygon = 12 sides
So , Sum of Interior angles of a polygon with n sides is
nθ = 180° ( n - 2 )
Substituting the value of n = 12 in the equation , we get
nθ = 180° ( 12 - 2 )
nθ = 180° x 10
nθ = 1800°
Hence , the sum of the internal angles of the polygon is solved
To learn more about sum of internal angles of polygons click :
https://brainly.com/question/14611583
#SPJ1
Write the equation of the line shown.
Answer:
y = -1/2x
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise/run
Let's pick 2 points (0,0) (4, -2), we see that the y decrease by 2 and the x increase by 4, so the slope is
m = -2/4 = -1/2
Y-intercept is located at (0,0)
So, our equation is
y = -1/2x
Helen is working at her school's bake sale. Each mini cherry pie sells for $4, and each mini peach pie sells for$3 . Helen sells 25 pies and collects $84. How many pies of each kind does she sell?
The number of mini cherry pie and mini peach pie that she sold each would be = 12
How to calculate the quantity of pies sold?The price for each cherry pie = $4
The price for each peach pie = $3
The total price for the whole pies sold = $84
The quantity of each pie sold. is calculated as thus;
= 4+3 = 7
For cherry pie;
= 4/7 × 84
= 336/7
= $48
The number of cherry pie sold = 48/4 = 12
For peach pie;
= 3/7× 84
= 252/7
= $36
The number of peach pie sold = 36/3 = 12
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
Total+distance+of+biking+is+24+3/4+miles+he+stops+a+third+of+the+way+through+the+trail+to+rest+before+biking+again+he+stop+again+5 3/3 miles past the rest stop where there is a scenic lookout determine the distance in miles he biked up the point of both stops
The distance in miles he biked up to the point of both stops is 10 1/2 miles
How to determine the distance in miles he biked up to the point of both stops.From the question, we have the following parameters that can be used in our computation:
Total distance = 24 3/4 miles
When he stops a third of the way, we have the expression to be (24 3/4)/3
So, we have the following equation
Required distance = 24 3/4 - ((24 3/4)/3 + 5 3/3)
Evaluate
Required distance = 10 1/2
Hence, the distance is 10 1/2 miles
Read more about distance at
https://brainly.com/question/24571540
#SPJ1
3 Shawn records the lengths in inches of several bugs he collects for a science
project. Complete the line plot of the data.
←
1
12
+
3
4
Answer:
Step-by-step explanation 3:5 copblocking
Find the ending balance of a compound interest loan of 21000 at 8.8% for 9 years
Answer:
44 862,07
Step-by-step explanation:
SUM=21000*(1+8,8/100)^9
SUM=21000*(108,8/100)^9
SUM=44862,07
find the perimeter of the triangle with the vertices $(0,\ 1),\ (3,\ 6)$ , and $(4,\ 1)$ . if necessary, round your answer to the nearest hundredth.
The perimeter of the triangle having vertices (0,1),(3,6), and (4,1) will be 10.83 units.
Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape.
Any polygon's perimeter is equal to the sum of its side lengths. Considering a triangle
The sum of the three sides equals the perimeter.
Units are always a part of the ultimate response. The final solution should be given in centimeters if the triangle's sides are in that unit.
Because the y values between U and V differ, the distance is equal to the x value difference.
Because the x values of V and W differ, the distance equals the difference between their y values.
The hypotenuse of a right triangle, or U to W, equals sqr (sum of squares on the other two sides)
Perimeter = sum of the 3 sides
[tex]= \sqrt{34} + \sqrt{26}+ \sqrt{16}= 5.83 + 5.1 + 4 = 10.83\:units[/tex]
As the value of 34 is 5.83 squared, 26 is 5.1 squared, 16 is about 4 squared.
To know more about the perimeter of triangle:
https://brainly.com/question/17394545
#SPJ4
The total distances add up to the triangle's perimeter is 10.00
The triangle's perimeter may be calculated by summing the distances between its three vertices. Use the distance formula to calculate the separation between the points:
d = √((x2 - x1)2 + (y2 - y1)2)
The distances between the points are as a result for the triangle with vertices (0,1), (3,6), and (4,1)
Utilizing the distance formula, determine the separation between (0,1) and (3,6):
d = √((x2 - x1) 2 + (y2 - y1) 2) = √((3-0) 2 + (6-1) 2) = √(32 + 52) = √45
Utilizing the distance formula, determine the separation between (3,6) and (4,1):
d = √((x2 - x1) 2 + (y2 - y1) 2) = √((4-3) 2 + (1-6) 2) = √(12 + 52) = √25
Utilizing the distance formula, determine the separation between (4,1) and (0,1):
d = √((x2 - x1) 2 + (y2 - y1)2) = √((0-4) 2 + (1-1) 2) = √(42 + 02) = √16
The triangle's perimeter is calculated by adding the three distances together:
Perimeter = √45 + √25 + √16 = 10.00.
Hence, the perimeter of the triangle is 10.00, rounded to the closest hundredth.
To learn more about perimeter visit:
https://brainly.com/question/345835
#SPJ4
convert to tons 2,600 pounds
2600 pounds are equal to 1.3 tons.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given,
2,600 pounds to tons
1 US ton = 2000 pound
1 pound = 1/2000 US tons
2,600 pound = 2600/2000 US tons
2600 pound = 1.3 US tons.
Hence, 1.3 US tons are there in 26000 pounds.
Learn more about unit conversion here:
https://brainly.com/question/19420601
#SPJ1
What are the statements and reasons for this problems.
Anything helps! Thank you :)
From the congruency of triangles we can prove,
A: D is the midpoint of AC,
B: Measure of ∠D = ∠E,
C: BD bisect the angle ABC.
What are congruent triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.
Given BD bisect ∠ABC
AB ≅ CB
from the figure, AB = CB
since BD bisects ∠ABC
∠1 = ∠2
and BD = BD (common side)
from SAS property,
ΔABD ≅ ΔCBD
Triangles can be shown to be congruent after which the final dimension can be anticipated without actually measuring the triangle's sides and angles.
from CPCT, AD = CD
since AD = CD so D should be the midpoint of AC.
B: Given B is the midpoint of AC,
AB = CB
and BD ║ AE,
so ∠1 and ∠2 are equal due to corresponding angles between parallel lines,
∠1 = ∠2
BD = AE
ΔABE ≅ ΔCBD
from CPCT, ∠D = ∠E
C: Given ∠A and ∠C are right angles,
∠A = ∠C = 90°
AD = CD
BD = BD (common side and hypotenuse of a right triangle)
from RHS property ΔABD ≅ ΔCBD
from CPCT, ∠ABD = ∠CBD
since both angles are equal so BD is the angle bisector.
Hence all the statements are proved by the congruency of triangles.
Learn more about congruent triangles;
https://brainly.com/question/22062407
#SPJ1
A deposit of 800 at 3.5% for seven years 
Answer:
Interest = Principal x Rate x Time
($2,840)
Step-by-step explanation:
interest earned on a deposit of $800 at 3.5% interest for 7 years, you can formula: Interest = Principal x Rate x Time
In this case, the interest earned would be:
Interest = $800 x 0.035 x 7 = $2,040
So, after 7 years the deposit would be worth $800 + $2,040 = $2,840.
Use the image below to answer the following question find the value of sine X and cosine y what relationship do the ratios of sine x and cosine y share
The value of sin x is [tex]\frac{5}{13}[/tex] and the value of cos y is [tex]\frac{5}{13}[/tex]. The ratio of sin x and cos y is 1.
What is Pythagorean triplet?The Pythagorean Triples, which comprise the three positive numbers a, b, and c, are the integer solutions to the Pythagorean Theorem.
What is Pythagoras theorem?A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem.
The given triangle has sides 12 and 5.
According to the Pythagorean triplet the length of the third side is 13.
The value of sin x is [tex]\frac{5}{13}[/tex].
The value of cos y is [tex]\frac{5}{13}[/tex].
The ratio of sin x and cos y is:
[tex]\frac{sin x}{cos y} = \frac{\frac{5}{13}}{\frac{5}{13}} = 1[/tex]
Learn more about Pythagorean Theorem here:
https://brainly.com/question/14930619
#SPJ1
A line includes the points (3, 1) and (4, 4). What is its equation in slope-intercept form?
The equation in slope-intercept form is y = 3x - 8.
What is the slope-intercept form?
The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point-slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.
Here, we have
Given: Line includes the points (3, 1) and (4, 4).
Slope intercept: y = mx + b
We first find the slope, m, using the point-slope
Slope(m) = (y₂ - y₁)/(x₂ - x₁) = (4 - 1)/(4 - 3) = 3
Now, we find the y-intercept, b, Using any points' x and y values in y = mx + b with the found slope.
Put the slope into y = mx + b
y = 3x + b
Now, we took points (3, 1) to get slope intercept form and we get
1 = 3(3) + b
b = -8
Now, we put the value of b in y = mx + b and we get
y = 3x - 8
Hence, the equation in slope-intercept form is y = 3x - 8.
To learn more about the slope-intercept form from the given link
https://brainly.com/question/25826868
#SPJ1
please need help asap 28, and 29
The length of the mid-segment of the trapezoid for these problems is given as follows:
28. n + 12 = 17.
29. 2n + 11 = 27.
How to obtain the length of the mid-segment of a trapezoid?The length of the mid-segment of a trapezoid is half the sum of the lengths of the bases.
Hence the value of n for item 28 is given as follows:
n + 12 = 1/2(2n - 2 + 4n + 6)
n + 12 = 0.5(6n + 4)
n + 12 = 3n + 2
2n = 10
n = 5.
Hence the length of the mid-segment is of:
n + 12 = 5 + 12 = 17.
The value of n for item 29 is given as follows:
2n + 11 = 1/2(5n - 2 + n + 8)
2n + 11 = 0.5(6n + 6)
2n + 11 = 3n + 3
n = 8.
Hence the length of the mid-segment is of:
2n + 11 = 16 + 11 = 27.
(replacing n = 8 into 2n + 11).
More can be learned about the mid-segment of a trapezoid at https://brainly.com/question/17116949
#SPJ1
The highest temperature ever recorded for a person with a fever who survived was 115 degrees. Alternatively, the lowest temperature ever recorded on a patient who survived was 56.7 degrees. If the average temperature is 98.6 degrees, which extreme temperature was furthest from the norm? How much further?
Answer:
the minimum temperature was furthest from the norm. it was 23.5 degrees further
Step-by-step explanation:
difference between the max and median = 115-98.6 = 16.4
difference between the median and minimum = 98.6 - 58.7 = 39.9
the difference between the median and minimum (39.9) is greater than the distance between the maximum and median (16.4). thus, the minimum temperature was furthest from the norm. the difference in differences is 39.9 - 16.4 = 23.5 degrees. this means that the minimum temperature was 23.5 degrees further away from the norm than the maximum was
If a rectangular garden is 45 ft. by 20 ft., how many feet of fence are needed to enclose it?
Answer:
130 feet
Step-by-step explanation:
45 feet is one of the lengths of the rectangular garden and 20 feet is the other.
The perimeter of a rectangle is 2(l+w) and we know that these must be the lengths and widths.
Communitive property of addition states that it doesn't matter the order that we add so we know it's just 20+45 (65) then times 2 which is 130
130 feet is your answer.