Answer: 81.9 ??
Step-by-step explanation:
PROOF Write a paragraph proof to prove that if PQ=4(x−3)+1, QR=x+10, and x=7, then PQ≅QR.
The paragraph proof that is written to prove that if PQ=4(x−3)+1, QR=x+10, and x=7, then PQ≅QR is given below.
What is the paragraph proof?The midpoint of a straight line is a point that divides then line into two equal portions.
Therefore to prove that PQ ≅ QR, the required steps are stated below:
A point on a given straight line which divide it into two equal parts is termed midpoint. So that any mathematical expression for the first fraction or part, is the same as that for the second fraction or part.
In the given question, point Q is the midpoint of line PR.
So that:
PR = PQ + QR (Midpoint theorem)
Thus, PQ = QR (Midpoint theorem)
But, PQ=4(x−3)+1,
QR=x+10, and x=7.
Substitute the value of x in both PQ and QR to have;
PQ = 4(x−3)+1 = 4(7 - 3) + 1 = 4*4 + 1PQ = 17
(Midpoint theorem) QR = x+10
= & + 10QR = 17
(Midpoint theorem)
Therefore, PQ ≅ QR
Learn more about the midpoint of a given line at
https://brainly.com/question/11474934
#SPJ1
Equations with rational coefficients
Lisa had $20.50 to spend on eight pens. After buying them she had $2.90. How much did each pen cost?
Answer:
Each pen is 2.20
Step-by-step explanation:
We first need to find the total cost of the pens
20.50 - 2.90 = 17.60
Now we can divide by the number of pens purchased.
17.60 / 8
2.20
Each pen is 2.20
Answer:
$ 2.20
Step-by-step explanation:
First, let us find the total cost of pens.
$ 20.50 - $ 2.90 = $ 17.6
And now let us find the cost per pen.
For that, let the cost of a pen be x.
Number of pens Cost
8 $ 17.6
1 x
Use cross multiplication and find the value of x.
8x = 1 × 17.6
8x = 17.6
Divide both sides by 8.
x = $ 2.2
Therefore,
Cost of a pen is $ 2.20
pls help me worth 90 points
A: he percent of respondents who do not like hamburgers and burritos both = 16.09 %
B: Marginal relative frequency of all customers that like hamburgers= 0.65
C: Those who like Hamburgers but not burritos.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Like Hamburgers ↓ Does Not Like Hamburgers↓ Total↓
Likes burritos → 39 38 77
Does not like burritos → 95 33 128
Total → 134 71 205
So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 77-38= 39 like Hamburgers.
A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining 128 - 95 = 33 do not like Hamburgers.
A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.
Part A: The percent of respondents who do not like hamburgers and burritos both
There are 33 such respondents.
Hence, percentage = (033/205) *100 = 16.09 %
Part B: Marginal relative frequency of all customers that like hamburgers
It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents
Hence, ratio 134/205 = 0.65
Part C: The data point that has the strongest association of its two factors.
For this, we need to find the ratio of all the four data with the total.
Those who like Hamburgers and burritos = 39/134 = 0.29
Those who like Hamburgers but not burritos = 95/134 = 0.71
Those who like burritos but not Hamburgers = 38/71 = 0.53
Those who do not like burritos or Hamburgers = 33/71 = 0.47
So, the answer is those who like Hamburgers but not burritos.
To Learn more about the percentage form the link:
https://brainly.com/question/24304697
#SPJ1
Answer:
GUYS THE PERSON ABOVE GOT ME A 100 PROPS TO HIMStep-by-step explanation:
!!!!!!!!!!!!!!!!HE DESERVES EVERYTHING FOR HELPING!!!!!!!!!!!!!!!!!!!!!Three buildings have a total height of 1365 feet. The first building is 57 feet taller than the third building, and the second building is 54 feet taller than the third building. Find the heights of the three buildings
Answer:
1320 feet
Step-by-step explanation:
Please helppp 20 points
What inequality do I choose for the word problem
Donut orders of less than 3 dozen or greater than 6 dozen provide the best discounts
A) x < 3 or x > 6
B) 3 < x < 6
C) 3 <= x <= 6
D) x <= 3 or x => 6
=> means greater than or equal too
Answer:
A) x < 3 or x > 6
Explain:
In this problem, the best discounts are offered for donut orders that are either less than 3 dozen or greater than 6 dozen. Therefore, the correct inequality to choose is option A: x < 3 or x > 6.
5. The two angles are supplementary angles, what is the measure of x?
B
(2x - 15)°
A
11xº
D
C
The value of x is 15.
What is an angle?
When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles.
Given that ∠ADB and ∠BDC are supplementary angle.
∠ADB = (2x - 15)° and ∠BDC = 11x°.
Two angles are supplementary angle, if their sum is equal to 180°.
Therefore,
∠ADB + ∠BDC = 180°
Putting the value of ∠ADB and ∠BDC:
(2x - 15)° + 11x° = 180°
2x - 15 + 11x = 180
Combine like terms:
(2x + 11x) -15 =180
13x - 15 =180
Add 15 with both sides:
13x = 180 +15
13x = 195
Divide both sides by 13:
x = 15
To learn more about of supplementary angle, click on below link:
https://brainly.com/question/8868421
#SPJ1
Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
Learn more about similar triangles here:
https://brainly.com/question/2644832
#SPJ1
For my little sister, in 3rd grade, her math problem is, "Ben organizes the blue berry muffins into a 4 x 7 array. Ben breaks up the array of blueberry muffins into 2 arrays that look the same. At the right, draw the 2 arrays of blueberry muffins". Btw im still currently learning aljebra rn, and when i was in 3rd grade i had a different system and we didnt do the kind of math my sis does
Answer:
x x x x x x x x x x x x x x
x x x x x x x x x x x x x x
x x x x x x x x x x x x x x
x x x x x x x x x x x x x x
Step-by-step explanation:
The x represent the muffins.
What is a range of numbers?
To find the range of numbers we subtract the largest number by the lowest numbers.
In the given question,
We have to explain, the range of a numbers.
The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).
The difference between both the highest and lowest numbers in a collection or set is known as the range.
To find the range of numbers we subtract the largest number by the lowest numbers.
To learn more about range link is here
brainly.com/question/4786835
#SPJ4
A rental car agency charges $240 per week plus $0.25 per mile to rent a car. The charge for a minivan is $180 per week plus $0.40 per mile. After how many miles is the total charge for each vehicle the same?
Question content area bottom
Part 1
The total charge is the same when each vehicle is driven
___ mile(s) for the week.
(Type a whole number.)
PLEASE HELP!!
After 400 miles is the total charge for each vehicle the same ie $340
What is equation ?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.
x= number of miles
car cost is 240+0.25x
van cost is 180+0.40x
When the equations are equal
240 + 0.25x = 180 +0.40x
60 = 0.15x
15x = 6000
x=400
400 miles.
They will each cost $340
To learn more about equation from the given link
brainly.com/question/22688504
#SPJ1
15. M. Jaffey had a total of 428. 5 ounce of pretzel to put into 5 bowl for a party. She put an equal number of ounce of pretzel into each bowl. How many ounce of pretzel did M. Jaffey put into each bowl?
Answer: The correct answer is 85.7 ounces in each bowl
Step-by-step explanation:
T = Total ounces of pretzels
B = Number of bowls
A = Amount of pretzels in each bowl
Our equation: A = T / B
T = 428.5
B = 5
A = 428.5 / 5
A = 85.7 ounces
what is 2 5/7+ 1 2/3 if you can i would like a step-by-step Explanation along with the correct answer
In the preliminary investigation phase of the systems life cycle, which one of the following tasks would not be included?
A. Briefly defining the problem
B. Suggesting alternative solutions
C. Gathering the data
D. Preparing a short report
if you have a 90 in class but get a zero that is worth 15 points what will be your grade after that?
If we have a 90 in class but get a zero that is worth 15 points, 0 will be that grade.
I know it takes 3 '15' to get 'C' from 0. Knowing this, getting zero is not recommended.
Here is the information we need to know to answer the question correctly.
For example:
3 allocations of 100 each .
3 x 15 = 45
45 / 3 = 15%
But now 0:
The same 3 allocations of 15 each AND these 0...
3 x 15 = 45
45 / 4 = 11.25% which is a 25 point drop at zero.
Let's say we have 10 allocations of 15 each...
10 x 15 = 150
150 / 10 = 15%
But we have 15 allocations of the same Questions each, which is 0.
Learn more about Class:
https://brainly.com/question/28423573
#SPJ4
the global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution-n to a nonlinear programming problem. group of answer choices true false
The given statement to this question is true
What is an optimal solution?
An acceptable solution where the objective function reaches its highest (or minimum) value, such as the most profit or the lowest cost, is referred to as an optimal solution. When there are no other practical solutions with superior objective function values, the solution is said to be globally optimal.
Here, we have
The global optimum point may be superior to nearby points, but the local optimum point is the true optimal solution to a nonlinear programming problem.
Because when own linear model is solved this solution is merely local optimum.
The solver should consider that other local optimum Amy does not exist with better object values. The globally optimal solution is one where there are no feasible solutions with a better objective function.
However many nonlinear problems are non-convex and are likely to have multiple locally optimal solutions. The local optimum point is the true optimal solution for the nonlinear programming model.
Hence, the given statement to this question is true.
To learn more about the optimal solution from the given link
https://brainly.com/question/15356519
#SPJ4
PLEASE HELP ASAP AHhHHhHhHh
the product of "-1.8" and 3 more than a number as the same as 1 / 10 what is the number
ILL GIVE YOU POINTS PLEASE
The value of the number is N = -55/18
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as N
The value of N is given by
The product of -1.8 and 3 more than a number as the same as 1 / 10
So , substituting the values in the equation , we get
product of -1.8 and 3 more than a number
And , -1.8 x ( N + 3 ) is equal to 1/10
So , the equation will be
-1.8 x ( N + 3 ) = 1/10
Divide both sides of the equation by -1.8 , we get
N + 3 = -1/18
Subtracting 3 on both sides of the equation , we get
N = -1/18 - 3
On simplifying the equation , we get
N = ( -54 - 1 ) / 18
N = -55/18
Therefore , the number is -55/18
Hence , The value of the number is N = -55/18
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Mr. Lang bought a coat and a pair of gloves for each of his 13 grandchildren. A coat cost of $30 and a pair of gloves costs $6.49. What was Mr.Lang's total purchase?
Answer:
Mr. Lang bought a coat and a pair of gloves for each of his 13 grandchildren, so he bought 13 coats and 13 pairs of gloves.
Each coat cost $30, so the total cost of the coats was 13 coats * $30/coat = $<<13*30=390>>390.
Each pair of gloves cost $6.49, so the total cost of the gloves was 13 gloves * $6.49/glove = $<<13*6.49=84.37>>84.37.
The total cost of the coats and gloves was $390 + $84.37 = $<<390+84.37=474.37>>474.37.
Therefore, Mr. Lang's total purchase was $474.37.
Step-by-step explanation:
Answer:474.37
Step-by-step explanation:
Which fact is not used to prove that abc is similar to dbe? the sum of angles a and b are supplementary to angle c. Segments ac and de are parallel. Ab is a transversal line passing ac and de. Angle b is congruent to itself due to the reflexive property.
The fact that the sum of angles A and B are supplementary to angle C is not needed to prove triangles are similar.
Triangle - what is it?
A polygon with three edges and three vertices is called a triangle. A triangle's total number of angles equals 180 degrees. In mathematics -
∠x + ∠y + ∠z = 180°
A triangle's two sides added together are greater than its third side. In mathematics -
a + b > c
There are numerous varieties of triangles, including:
Equilateral, scalene, isosceles, and other triangles are used.
Two overlapping triangles are shown.
Angle C is supplementary to the sum of angles A and B, which can be expressed as follows:
∠C = 180 - (∠A + ∠B)
Therefore, it is not necessary to demonstrate that triangles are comparable in order to show that the sum of angles A and B is added to angle C.
Know more on triangles at:
brainly.com/question/25950519
#SPJ4
(2x-y< -7
x-y≥-6 determine if (-10,5) is a solution to system
Answer:
no
Step-by-step explanation:
2 · (-10) -5 < -7
-20 - 5 < -7
-25 < -7
ok
-10 -5 ≥ -6
-15 ≥ -6
false
Answer:
not a solution
Step-by-step explanation:
to determine if (- 10, 5 ) is a solution to the system of inequalities.
substitute the coordinates of the point into the left side of both inequalities and compare the result to the right side.
Both inequalities must be true for the point to be a solution.
2x - y = 2(- 10) - 5 = - 20 - 5 = - 25 < - 7 ← true
x - y = - 10 - 5 = - 15 < - 6 ← false
since both inequalities are not true then (- 10, 5 ) is not a solution
How do I write an expression for the measure of the angle ?
The expression for the measure of the angle is arc UZW/2
What is meant by measure of the angle ?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point.
An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
A protractor or other straightforward geometric instrument is used to measure angles. It is more common to use a protractor than a compass. Angle measurement is useful for determining the precise angle. We regularly come across various angles in geometry, and we may determine the measurements of angles by using these tools.
Keep in mind that an arc's angle in a circle's center is twice as large as its angle everywhere else on the circle's perimeter. This leads us to the following expression for the given angle's measurement:
Given,
m<UXY
m<UXY = arc UZW/2
To learn more about measure of angle refer to :
https://brainly.com/question/25716982
#SPJ1
whats 3 divided by three
Answer: 3 divided by 3 is 1
which one is functions and non functions?
please help me!!!
Answer: for the graphs if it crosses the same line twice if you draw a line down the top to bottom it is not a function and if the x repeats for the table and equals something different it is not a function
Step-by-step explanation
for tables (5,8) (6,9) (5,2) (1,5) this would not be a function because 5 equals two different things
What is the average speed of a bus that travels 150 km in 3 hours?
The average speed of a bus that travels 150 km in 3 hours is 50 kilometres per hour.
The average speed is directly proportional to the total distance covered and inversely proportional to the total time taken. Using the mentioned information to write the formula of average speed -
Average speed = total distance covered ÷ total time taken
Keep the values in formula to find the average speed of the bus
Average speed of the bus = 150/3
Performing division on Right Hand Side of the equation to find the average speed of the bus
Average speed of the bus = 50 kilometres per hour
Hence, the average speed is 50 kilometres per hour.
Learn more about speed -
https://brainly.com/question/13943409
#SPJ4
What is the perpendicular slope of 4x 5y =- 10?
4x + 5y = -10's perpendicular slope is -4/5. To find the slope, we can rearrange the equation to make it into the slope-intercept form.
To find the perpendicular slope of 4x + 5y = -10, we need to use the slope-intercept formula, which is y = mx + b.
To find the slope, we can rearrange the equation to make it into the slope-intercept form:
4x + 5y = -10
=> 5y = -4x - 10
=> y = -(4/5)x - 10/5
=> Slope = -(4/5)
Therefore, the perpendicular slope of 4x + 5y = -10 is -4/5
Learn more about slope here
https://brainly.com/question/3605446
#SPJ4
100-5n
show work
!!!
Answer:
5(20-n)
Step-by-step explanation:
you "take out" a five from both number by dividing
100/5= 20
5n/5=n
Answer:
-5(n+20)
Step-by-step explanation:
100-5n
-5+100
-5n+100
-5(n+20)
end
(this might be it not sure 100%)
The 7 gallon drink dispenser was full at the beginning of the football game. By halftime, there was 576 ounces left. How many gallons are left
Answer:
2.5 US gallons
How do you calculate linear relationship?
The formula distance = rate x time also indicates a linear relationship.
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
We have to determine the calculations for a linear relationship;
Here,
Distance = rate x time is another equation that results in a linear relationship. This linear relationship would be represented in the top right quadrant of a graph with an X and Y axis because distance is often a positive quantity.
Learn more about linear relationship here;
https://brainly.com/question/25716934
#SPJ4
Arturo's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=56+8.2x, where yy represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=89?
The 4.024 hours spent students on homework per week.
What is a linear relationship?
A linear relation, or simply relation, between the components of a vector space or a module, is a linear equation for which the components are the solutions in linear algebra.
we have,
a linear relationship between the number of time students spends on their homework and their weekly quiz scores:
y=56+8.2x,
where y represents the expected quiz score
and x represents hours spent on homework that week.
if y = 89, then x = ?
so, put the value of y in the equation:
y = 56+8.2x,
(89) = 56 + 8.2x,
89 - 56 = 8.2x,
33 = 8.2x,
x = 33/8.2
x = 4.024
Hence, the 4.024 hours spent by students on homework per week.
To learn more about the linear relationship visit,
https://brainly.com/question/13828699
#SPJ1
Answer: the number of hours a student should spend on their homework to expect a score of 89 on the quiz
Step-by-step explanation:
question 191 pts true or false: the curve of a distribution has thicker tails than the curve of the standard normal distribution. group of answer choices true false
The answer is true. The curve of t-distribution has thicker tails than the curve of the standard normal distribution.
The t-distribution is also called as Student's t-distribution which is a type of probability distribution with a bell shape which is similar to normal distribution but has thicker tails. It is used to estimate population parameters when sample sizes are small or variances are unknown. T-distributions have a higher probability of extreme values more than normal distributions which results in thicker tails.
Tail thickness is determined by a t-distribution parameter called degrees of freedom, with lower values resulting in heavier tails and higher values resulting in the t-distribution resembles standard normal distribution with a standard deviation of 1and mean of 0.
Thus, t-distribution has thicker tails than the normal distribution.
To learn more about t-distribution refer here
https://brainly.com/question/13574945
#SPJ4
write the given equation in form of differential form ~
[tex] \rm \qquad {x}^{2} + {y}^{2} = {a}^{2} [/tex]
The equation x² + y² = a² in form of a differential form is; dy/dx = -x/y
What is the differential form of the equation?A differential equation is defined as one that contains the derivative of a function. For example, f(x) + 3 = 4f'(x) - 2.
We are given the equation;
x² + y² = a²
Thus, differentiating to be in differential form is;
2x(dx) + 2y(dy) = 0
-2x(dx) = 2y(dy)
dy/dx = -x/y
Read more about differential form of equation at; https://brainly.com/question/18760518
#SPJ1