What is the inverse of the following statement If M is the middle point of PQ then PM is congruent to QM
Answers
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
Given statement:
If M is the mid-point of PQ then PM is congruent to QM.
The inverse statement would be:
If M is not the mid-point of PQ, then PM is not congruent to QM
Answer:
Option A
Related Questions
Leo is researching an electric bicycle. He finds this graph, which shows how much range, measured in kilometers, the bicycle gains based on charging time:Leo wants an equation he can use to find how many kilometers of range the bicycle gains (k) based on how many minutes it charges (t). Complete Leo's equation.
Answers
Equation of line in slope intercept form is
k = 4t is the equation which shows how many kilometers of range the bicycle gains (k) based on how many minutes it charges (t)
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
The graph passes through (5, 20), (10, 40), (15, 60)
Slope =
[tex]\frac{40 -20}{10 - 5}\\\\\frac{20}{5}\\\\4[/tex]
Equation of line
k - 20 =4(t - 5)
k - 20 = 4t - 20
k = 4t
This is the equation which shows how many kilometers of range the bicycle gains (k) based on how many minutes it charges (t)
To learn more about equation of line in slope intercept form, refer to the link-
brainly.com/question/25514153
#SPJ1
Answer:
Step-by-step explanation:
k=4t
i know this because i just answered this question on khan
which of the following are accurate of the distribution below
Answers
A: An outlier is a point that is an exception compared to the distribution of the data. In a histogram, it would appear as a bar away from the distribution with a lower height. We can't observe this in this distribution.
A do not apply.
B: A cluster is an accumulation of point in a certain interval. The interval given is 0 to 39. In the distribution, there are no points for this interval, so no cluster.
B do not apply.
Since A and B do not apply, C do apply.
Which expression has the same value as sin(20∘)?A)cos(10∘)B)cos(20∘)C)cos(40∘)D)cos(70∘)
Answers
sin 20 = y / r
cos 70 = y/ r
sin 20 = cos 70 = 0.342
Answer:
cos 70
Chris rented a truck for one dah There was a base fee of 18.95$ and there was an additional charge of 83 cents for each mile driven. Chris had to pay 209.02 when he returned the truck. For how many miles did he drive the truck?
Answers
Given:
Base fee $18.95
83 cents for each mile driven.
[tex]\text{Amount excluding the base fee=209.02-18.95}[/tex][tex]\text{Amount excluding the base fee= \$}190.07[/tex][tex]\text{Number of miles driven =}\frac{\text{19007}}{83}[/tex][tex]undefined[/tex]FIRST ANSWER WILL GET BRAILIEST! AND 50 PTS!
Which division problem is represented with this model?
Responses
1/5÷6
1/6÷2
1/2÷5
1/5÷2
Answers
Answer: Choice B
1/6÷2
Reason:
We have 6 slips of paper side by side. Shading one of those 6 represents the fraction 1/6.
Then split that shaded piece of paper in half as shown in the diagram. The blue region in that diagram represents 1/6÷2 which simplifies fully to 1/12.
If you were to do this to all 6 pieces of paper, then we'd have 2*6 = 12 smaller pieces. One of which is shaded, so that explains how we get 1/12.
In other words:
[tex]\frac{1}{6} \div 2 = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex]
Suppose that a is an angle with seca alpha = - 11/10 and a is not in the third quadrant. Compute the exact value of sina. You do not have to rationalize the denominatorSin a =
Answers
Given that
[tex]sec\text{ }\alpha=-\frac{11}{10}[/tex][tex]\alpha=sec^{-1}(-\frac{11}{10})=155.4^o[/tex]Now
[tex]\sin\alpha=\sin155.4=0.41628[/tex]62 - 12 ÷ 3 + (15-7)
Answers
62 - 12 ÷ 3 + (15-7)
First, solve the parenthesis:
62-12÷ 3 + 8
Then, solve the division:
62-4+8
Add And subtract
66
Find all values of j for which the quadratic equation has no real solutions.7x^2+9x+j=0Write your answer as an equality or inequality in terms of j.
Answers
The discriminant of a quadratic equation tells us whether there are two solutions, one solution or no real solutions and it is described as the part inside the root
[tex]D=b^2-4a\cdot c[/tex]the conditions are:
[tex]\begin{gathered} D>0;\text{ two real solutions } \\ D=0;\text{ one real solution} \\ D<0;\text{ no real solution} \end{gathered}[/tex]give values to a, b, and c, which are 7, 9, and j respectively.
using the third condition find the values for j that make the quadratic equation have no solution
[tex]\begin{gathered} 9^2-4\cdot7\cdot j<0 \\ \end{gathered}[/tex]solve the inequality
[tex]\begin{gathered} 81-28j<0 \\ -28j<-81 \\ 28j>81 \\ j>\frac{81}{28} \end{gathered}[/tex]The graph shows the distance Kendrick walks in different lengths of time.How many kilometers does Kendrick walk per hour?5kilometersHow long does it take Kendrick to walk 111 kilometer?hours
Answers
Solution
For this case we can do this:
[tex]\frac{10-5}{2-1}=\frac{5\operatorname{km}}{hr}[/tex]5 kilometers
We have the following equation
Km = m*hours
hours= 1km/ (5km/hr) =0.2hr
The n = 3 row of Pascal's Triangle has the following entries: 1, 3, 3, and 1TrueFalse
Answers
Ok, in the Pascal Triangle, the element in the row number n and column number p is given by:
So let's take n=3 and find all the entries of that row. We are going to use 0, 1, 2 and 3 as possible values for p.
For p=0:
[tex]\frac{3!}{0!(3-0)!}=\frac{6}{1\cdot3!}=\frac{6}{6}=1[/tex]For p=1:
[tex]\frac{3!}{1!\cdot(3-1)!}=\frac{6}{2!}=\frac{6}{2}=3[/tex]For p=2:
[tex]\frac{3!}{2!\cdot(3-2)!}=\frac{6}{2\cdot1!}=\frac{6}{2}=3[/tex]And for p=3:
[tex]\frac{3!}{3!\cdot(3-3)!}=\frac{3!}{3!\cdot0!}=\frac{3!}{3!}=1[/tex]So the four entries in the third row of Pascal's Triangle are 1, 3, 3 and 1 so the statement is true.
The table below shows the cost of mailing packages that weigh different amounts. Cost of Mailing Packages Package Weight (ounces) Cost Up to 1.00 $1.17 1.01 to 2.00 $1.34 2.01 to 3.00 $1.51 3.01 to 4.00 $1.68 4.01 to 5.00 $1.85 If the cost continues to increase as shown in the table, how much will it cost to mail a package that weighs exactly 11 ounces? F $2.87 G $4.87 H $3.04 J $5.87
Answers
For each of the following letters, find the equation for a polynomial function whose graph resembles the given letter: U, N, M, and W.
Answers
We are asked to determine polynomic functions which graph resembles the given letters.
For the letter U we will use a second-degree polynomial, which means a polynomial of the form:
[tex]y=ax^2+b[/tex]Is we take the values of "a" and "b" to be:
[tex]\begin{gathered} a=1 \\ b=0 \end{gathered}[/tex]We get the function:
[tex]y=x{}^2[/tex]The graph is the following:
Now, to determine a function that resembles the letter N we will use a polynomic function of third-degree, this means a function of the form:
[tex]y=ax^3+bx^2+cx+d[/tex]We will use the following values for the constants:
[tex]\begin{gathered} a=\frac{1}{4} \\ \\ b=1 \\ c=0 \\ d=0 \end{gathered}[/tex]Substituting we get:
[tex]y=\frac{1}{4}x{}^3+x^2[/tex]The graph of the function is:
To determine a polynomial that resembles the letter "m" we will use a polynomial that has 3 x-intercepts and the end-points are pointing down. This means that the function is of the form:
[tex]y=-(x-a)(x-b)^2(x-c)[/tex]The middle term has a square because we want the middle intercept to be tangent to the x-axis. Giving values to the constant we get:
[tex]y=-(x+1)(x-1)^2(x-3)[/tex]The graph of the function is:
Now, we determine a function that resembles the letter "W". We will use a polynomial with two intercepts that are tangent to the x-axis and the end behavior must be upwards. Therefore, the function must be of the form:
[tex]y=(x-a)^2(x-b)^2[/tex]We will use a = -1 and b = 1:
[tex]y=(x+1)^2(x-1)^2[/tex]The graph is:
What is the magnitude of the resultant vector of 8 meters North and 8 meters East displacement. Use the WRISd editor icon Vito answer this question. You canwrite using the pento right. Your drawing will be ttransfered to actural writing
Answers
In order to find the total displacement of a 8 meters north vector and a 8 meters east vector, we first need to know that these vectors forms a right angle (because the north and east directions forms a 90° angle).
So, to find the final displacement, we need to sum these vectors, and this sum can be calculated using the Pythagoras' theorem in the resultant triangle:
[tex]\begin{gathered} d^2=8^2+8^2 \\ d^2=64+64 \\ d^2=128 \\ d=\sqrt{128=8\sqrt{2=}}11.31 \end{gathered}[/tex]So the total displacement is 11.31 meters.
There were 750 books sold last week at side bookstore. The table below summarizes these books by genre. This information is also presented as a circle graph. Find the central angle measure x, for self help slice in the circle graph. Do not round.
Answers
we have that
total books sold=750
self help=117
the percentage of self-help books is equal to
117/750=0.156=15.6%
Remember that
in the complete circle, the angle of 360 degrees represents the 100%
so
Applying proportion
Find out the measure of angle x for a percentage equal to 15.6%
360/100=x/15.6
solve for x
x=(360/100)*15.6
x=56.16 degreesChange to Ax+By=C form. y=-5x+9
Answers
The function is:
[tex]y=5x+9[/tex]Now to put in the form Ax+By=c we hace to let the number that don't have x ot y in the left side of the equation anthe the rest of the term in the right side of the equation:
[tex]-5x+y=9[/tex]where:
[tex]\begin{gathered} A=-5 \\ B=1 \\ C=9 \end{gathered}[/tex]Find the equation of the line containing the point (3,5) and having slope: 4A. y=4x+24B. y=4x+7C. y=4x+17D. y=4x
Answers
Data
Point = (3, 5)
slope = 4
Equation of a line
y - y1 = m(x - x1)
m = slope = 4
x1 = 3
y1 = 5
Substitution
y - 5 = 4(x - 3)
Simplifying
y - 5 = 4x - 12
y = 4x - 12 + 5
Result
y = 4x - 7
The total volume of a tree increases
8% each year. What will its volume be
after 7 years if its volume is 5 cubic
meters now?
A) 5(1.08)^7
B) 5(7)(0.08)
C) 5(0.08)^7
D) 5(7)(1.08)
Answers
Answer:
A
Step-by-step explanation:
it all starts with 5 m³.
after one year this will be
5 × 1.08
as the original 5 m³ have increased by 8% (= multiplication by 1.08, as 8% = 0.08, and adding 8% means 100% + 8% = 1 + 0.08 = 1.08).
after the second year we will see another increase by 8% compared to the previous year.
so,
(5 × 1.08) × 1.08 = 5(1.08)²
...
and so, after the nth year, the volume is
5(1.08)^n
therefore, after 7 years means n = 7, and we get
5(1.08)⁷
What value of x will make the following equation true? Log4(4^5x+1)=16•7/5•0•1/5•3(Picture for clarification)
Answers
Given:
There are given that expression:
[tex]log_4\left(4^{5x+1}\right?=16[/tex]Explanation:
From the given log function:
[tex]log_4(4^{5x+1})=16[/tex]According to the log rule:
[tex]5x+1=16[/tex]Then,
[tex]\begin{gathered} 5x+1=16 \\ 5x=16-1 \\ x=\frac{15}{5} \\ x=3 \end{gathered}[/tex]Final answer:
Hence, the correct option is D.
the following ordered pairs give the entrance exam scores x and the grade-point averages y after 1 year of college for 10 students.interpret the slope of the line in a relationship of the problem.
Answers
Find the slope
we take the points
(75,2.3) and (82,3)
so
m=(3-2.3)/(82-75)
m=0.7/7
m=0.1
the units of the slope are grade-point averages by entrance exam scores
What is anequation of the line that passes through the points (-7, -7) and(-7,4)?
Answers
The line passes through (-7,-7) and (-7,4); thus the x-component remains fixed but the y-component is free
the y- component can take any value! thus the equation is
x=-7
A company sold garden hoses at a reduced price of $5.64 and took an end of season markdown of $13.35 what was the original selling price of each house? Use the formula M=S-N, where M is the markdown, S is the original selling price, and N is the reduced price. The original selling price of each hose is?
Answers
From the details provided in the question, the formula;
[tex]M=S-N[/tex]Can be used to derive either of;
Markdown, Original selling price or Reduced price.
Having been given;
[tex]\begin{gathered} \text{Markdown}=13.35 \\ \text{ Reduced Price=5.64} \\ \text{Original selling price=?} \end{gathered}[/tex]We can now substitute the known values as follows;
[tex]\begin{gathered} M=S-N \\ 13.35=S-5.64 \\ \text{Add 5.64 to both sides;} \\ 13.35+5.64=S-5.64+5.64 \\ 18.99=S \end{gathered}[/tex]The original selling price, that is N, is now;
$18.99
The first day they go to Dreamy Delights. Jack buys a cone with 3.0 oz of frozen yogurt for $9.20. Ianbuys a cone with 5.75 oz of frozen yogurt for $16.95.It says to summarize the information in a table
Answers
To summarize the information in a table:
In the column # of ounces of frozen yogurt put in the first cell the 3.0 oz that Jack bought and in the second cell the 5.75 oz that Ian bought.
In the column total cost in dollars put in the first cell the $9.20 that Jack paid and in the second cell the $16.95 that Ian paid
Rewrite the product (15y)(4x) using the Commutative Property of Multiplication.(15x)(4y)19xy(4x)(15y)(4y)(15x)
Answers
Answer:
(4x)(15y)
Explanation:
The commutative property of multiplication says that
(a)(b) = (b)(a)
Where a and b are the factors. In this case, the factors are 15y and 4x, so
(15y)(4x) = (4x)(15y)
Therefore, the answer is
(4x)(15y)
What are the coordinates of the first and last two points of his route?
Answers
Answer:
Step-by-step explanation:
Dertermine weshrer the fraction is 9 over 12 and 9 over 6 are equivalent
Answers
9/12 and 6/8 are equivalent fractions
Explanation:
[tex]\begin{gathered} \text{Given fractions:} \\ \frac{9}{12}\text{ and }\frac{6}{8} \end{gathered}[/tex][tex]\begin{gathered} \text{let's break down the fraction:} \\ \text{for }\frac{9}{12}\text{ we'll divide both numerator and denominator by 3} \\ \frac{9\div3}{12\div3}\text{ = }\frac{3}{4} \end{gathered}[/tex][tex]\begin{gathered} \text{for }\frac{6}{8},\text{ we will divide both numerator and denominator by 2} \\ \frac{6\div2}{8\div2}\text{ = }\frac{3}{4} \end{gathered}[/tex]We can see when break down both fractions, their simplest term is the same.
Hence, 9/12 and 6/8 are equivalent fractions
Wich function is used to find y,the remaining balance after x number of payments have been made?
Answers
The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]The line of the picture passes through (0, 20000) and (40, 0) then its slope is:
[tex]m=\frac{0-20000}{40-0}=-500[/tex]The y-intercept of the line is (0, 20000)
Slope-intercept form of a line:
y = mx + b
where m is the slope and b is the y-coordinate of the y-intercept. Replacing with m = -500 and b = 20000, we get:
y = -500x + 20000
The following figure shows the entire graph of a relationship.Does the graph represent a function?A.yesB.No
Answers
For the given graph to be a function, it must obey the vertical line test that is an element of the domain must not be marked to more than one element of the codomain.
Since all the domain of the functions has a unique co-domain, hence the entire graph of a relationship is a function.
Suppose the main income of firms in the industry for a year is $80 million with a standard deviation of $13 million. If incomes for the industry are distributed normally what is the probability that a randomly selected firm will earn less than $96 million? Round your answer to four decimal places
Answers
Given that
The mean income of firms in the industry for a year is $80 million with a standard deviation of $13 million. and we have to find the probability that a randomly selected firm will earn less than $96 million.
Explanation -
We have to find the probability that a firm will earn less than $96 million.
The mean is $80 and the standard deviation is $13.
Then, it is written as
[tex]\begin{gathered} P(x<96)=P(z<\frac{96-80}{13}) \\ \\ The\text{ formula to find the z is \lparen here z is the z value\rparen} \\ z=\frac{x-\mu}{\sigma} \\ \mu\text{ is mean and }\sigma\text{ is the standard deviation.} \\ \\ P(<96)=P(z<\frac{16}{13})=P(z<1.2) \end{gathered}[/tex]The table to find the z value is
According to the z table, the value will be
[tex]\begin{gathered} P(x<96)=P(z<1.2)=0.8849 \\ P(x<96)=88.49\% \end{gathered}[/tex]Hence, 88.49% of the randomly selected firms will earn less than $96.
So the probability will be 0.8849.
Final answer -
The final answer is 0.8849 or 88.49%.Which is a solution toy ⩽ -2x + 1 (-3,8)(2,-2)(0,5)(-1, 3)
Answers
To find the right solution, we just have to evaluate the expression with each given point
(-3,8)[tex]\begin{gathered} 8\leq-2\cdot(-3)+1 \\ 8\leq6+1 \\ 8\leq7 \end{gathered}[/tex](2,-2)[tex]\begin{gathered} -2\leq-2\cdot2+1 \\ -2\leq-4+1 \\ -2\leq-3 \end{gathered}[/tex](0,5)[tex]\begin{gathered} 5\leq-2\cdot0+1 \\ 5\leq1 \end{gathered}[/tex](-1,3)[tex]\begin{gathered} 3\leq-2\cdot(-1)+1 \\ 3\leq2+1 \\ 3\leq3 \end{gathered}[/tex]As you can observe, the last choice satisfies the inequality.
Hence, the answer is (-1,3).60 is the LCM of witch of the following pair of numbers? 12 and 18 .....10 and 30.......15 and 20......20 and 25 witch on
Answers
The correct pair is 15 and 20
Here, we want to select the pair of numbers which 60 is their LCM
What this mean is we want to select two numbers that 60 is the smallest multiple they have
For 12 and 18, the lcm is 36; so this is incorrect
For 10 and 30, the lcm is 30; so this is also incorrect
for 20 and 25, the lcm is 100; this is also incorrect
for 15 and 20, the lcm is 60 and this is our correct choice