which of the four triangles efG
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Related Questions
What is the slope of the line that passes through the points (8, 0) and (-4, -8)?
Write your answer in simplest form.
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Answer:
Step-by-step explanation:
(-8 - 0)/(-4 - 8)= -8/-12 = 2/3
The slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.
How to estimate the slope of the line?The slope or gradient between two points in the Cartesian coordinate system. The slope exists the amount of slant a line retains and can maintain a positive, negative, zero, or undefined value.
Using the slope formula \((y_2 - y_1)/(x_2 - x_1)\)
\(x_1 = 8, y_1 = 0\) and \(x_2 = -4 , y_2= -8\)
slope \(= (y_2 - y_1)/(x_2 - x_1)\)
= ((-8) - 0) / ((-4) - (8))
= (-8) / (-12) = (-2) / (-3)
= 0.66667
Therefore, the slope of the line that passes through the points (8, 0) and (-4, -8) exists at 0.66667.
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The graph is a straight line that passes through the points P and Q How can I state the coordinates of P and Q. How can i determine the gradient of the line segment PQ? How do I do a equation of the line PQ ? How can I find the length of Line PQ? How can I find the mid point of PQ?
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Solution:
Given the graph:
(a) The coordinates of P(x,y) and Q(x,y) are;
\(P(0,3)\text{ and }Q(-2,0)\)(b) The gradient, m of the line segment is;
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ \text{ Where }x_1=0,y_1=3,x_2=-2,y_2=0 \end{gathered}\)Thus;
\(\begin{gathered} m=\frac{0-3}{-2-0} \\ \\ m=\frac{3}{2} \end{gathered}\)(c) The equation of the line is;
\(\begin{gathered} y-y_1=m(x-x_1) \\ \\ \text{ Where }x_1=0,y_1=3,m=\frac{3}{2} \end{gathered}\)Thus;
\(\begin{gathered} y-3=\frac{3}{2}(x-0) \\ \\ y=\frac{3}{2}x+3 \end{gathered}\)(d) The length of the line segment PQ is;
\(\begin{gathered} PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \text{ Where }x_1=0,y_1=3,x_2=-2,y_2=0 \end{gathered}\)Thus;
\(\begin{gathered} PQ=\sqrt{(-2-0)^2+(0-3)^2} \\ \\ PQ=\sqrt{13} \end{gathered}\)(e) The midpoint, MP of the line segment is;
\(\begin{gathered} MP=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \\ \text{ Where }x_1=0,y_1=3,x_2=-2,y_2=0 \end{gathered}\)Thus;
\(\begin{gathered} MP=(\frac{0+(-2)}{2},\frac{3+0}{2}) \\ \\ MP=(-1,\frac{3}{2}) \end{gathered}\)
llan's family stays at a hotel and the room is $199 per night.
They stay for 4 nights and leave a 12% tip to housekeeping.
How much does their hotel cost total.
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With a 12% housekeeping gratuity, the hotel bill for 4 nights comes to $891.52.
What is unitary method?
"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
According to our question-
Total cost = Bill before tip + Tip
Total cost = $796 + $95.52
Total cost = $891.52
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#3 Preimage point B is
located at (5,-4).
B' is located at (20, -16).
Write the algebraic rule for
the transformation.
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The algebraic rule for the transformation is B' = (Bx + 15, By - 12)
Given data ,
To determine the algebraic rule for the transformation from point B to point B', we need to find the equations that relate the coordinates of the preimage point B to the image point B'.
Let's denote the translation amounts in the x-direction and y-direction as (dx, dy). The coordinates of B' can be obtained by adding these translation amounts to the coordinates of B:
B' = (Bx + dx, By + dy)
Given that B is located at (5, -4) and B' is located at (20, -16), we can calculate the translation amounts:
dx = 20 - 5 = 15
dy = -16 - (-4) = -12
Hence , the algebraic rule for the transformation is B' = (Bx + 15, By - 12)
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Kyla Brooks
Question 8 - 10 Points
Mar 03, 1:26:31 PM
?
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
x
4.4
2.1
E
с
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Answer:
What’s the answer
Step-by-step explanation:
Find the value of (x) in the triangle shown below.
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180-124= 56°
x=56°
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
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Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Juan weighs 54,27 kilograms and his older brother weighs 55,895.1 grams. how much heavier is Juans older brother?
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Chose the correct description of the graph of the inequality: -2x > 8
A number line with an open circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the left.
A number line with a closed circle on -4, shaded to the right.
A number line with an open circle on -4, shaded to the right.
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Explanation: -2x/-2 > 8/-2 = x < -4
Here's a screenshot of the answer below:
Suppose that a scientist captures 20 fiddler crabs in a small freshwater pond and marks them before releasing them back to the pond. The following week, the scientist returns and captures 30 fiddler crabs, six of which are marked. What is the estimated size of the fiddler crab population
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Answer:
100 fiddler crabs
Step-by-step explanation:
If the 30 crabs are a representation of the entire population, then 6 marked crabs in a population of 30 would mean that
6 / 30 = 0.20 or 20%
20% of the entire crab population are marked. Since we know that a total of 20 fiddler crabs are marked in the pond then we can divide this number of marked crabs by 20% in decimal form to get the estimated total size of the fiddler crab population
20 / 0.20 = 100 fiddler crabs
Find an equation for the vertical line through the point (6, -6).
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Answer:
x=6
Step-by-step explanation:
Since the line is vertical, it has no slope. This means that it will only go through points that have an x-coordinate of 6.
A Geiger counter counts the number of alpha particles from radioactive material. Over a
long period of time, an average of 16 particles per minute occurs. Assume the arrival of
particles at the counter follows a Poisson distribution. Round your answers to four decimals.
a) Find the probability of exactly 21 particles arrive in a particular one minute period.
0.0426053 O
b) Find the probability of exactly one particle arrives in a particular one second period.
0.20424755689724
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a) The probability of exactly 21 particles arrive in a particular one minute period is 0.0426
b) The probability of exactly one particle arrives in a particular one second period is 0.2042
What is probability?Probability is the ratio of the total number of conceivable outcomes to the number of outcomes in an exhaustive set of equally likely alternatives that result in a particular occurrence.
The probability is given by:
P(X=x) = (e⁻ⁿ nˣ)/x!
a) The probability of exactly 21 particles arrive in a particular one minute period is given by :
P(X=21) = (e⁻16 × 16²¹)/21!
P(X=21) = (2.176746853×10¹⁸)/51090942171709440000
P(X=21) = 0.0426
b) The probability of exactly one particle arrives in a particular one second period is :
1 min = 16 particles
1 sec = 16/60 particles
1 sec = 0.2667 particles
P(X=1) = (e⁻⁽¹⁶/⁶⁰⁾ × (16/60)¹)/1!
P(X=1) = 0.2042
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The cost C, in dollars, of renting a minivan for a day is given by the linear equation C = 0.3x + 42, where x is number of miles driven.
Find the cost renting the minivan for a day and driving it 150 miles. (2 pt)
Find and interpret the slope of this equation. (2 pt)
Find and interpret the y intercept of this equation(2 pt)
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Answer:
$87
The slope is .3
The y-intercept is 42
Step-by-step explanation:
150(.3)=45
45+42=87
Use the average daily balance method to compute the finance charge on the credit card account
for the month of August (31 days). The starting balance from the previous month is $270. The
transactions on the account for the month are given in the table to the right. Assume an annual
interest rate of 19% on the account and that the billing date is August 1st.
aug 7th. payment of $70
aug. 10 purchase of $135
aug. 15 purchase of $20
aug. 29 purchase of $25
what is the finance charge for the month of August?
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The finance charge for the month of August is $4.93.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
The starting balance from the previous month is $270.
The transactions on the account for the month are given in the table to the right.
Assume an annual interest rate of 19% on the account and that the billing date is August 1st.
After finding the balance outstanding each day, we sum it up.
And get the average as $305.4839
Now we find the average balance by dividing it by 31 days of the August month.
Average balance = $305.4839
Finance charge = $305.4839 x19 x 31/365 days
Finance charge = $4.929589
Finance charge = $4.93
Therefore, the Finance charge = $4.93.
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tickets to a movie cost $10.50 for adults and $7.25 for students. you and a few friends purchased 8 tickets for $61.25. how many adult tickets and student tickets were purchased?
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Answer:
1 adult ticket and 7 student tickets were purchased
Step-by-step explanation:
let a represent number of adult tickets purchased and s the number of student tickets purchased, then
a + s = 8 ( subtract s from both sides )
a = 8 - s → (1) ← based on total tickets purchased
10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets
substitute a = 8 - s into (2)
10.5(8 - s) + 7.25s = 61.25
84 - 10.5s + 7.25s = 61.25
84 - 3.25s = 61.25 ( subtract 84 from both sides )
- 3.25s = - 22.75 ( divide both sides by - 3.25 )
s = 7
substitute s = 7 into (1)
a = 8 - 7 = 1
that is 1 adult ticket and 7 student tickets were purchased
Match to the other shape
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Answer:
wheres the picture?
Step-by-step explanation:
help fast please
i have no idea what to do in math so i need help
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Answer:
see the attachment photo!
An angle measure is 4 more than twice it’s complement. What would it’s supplement measure?
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The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
What is an angle?An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.
Let the angle be x.
Twο angles are cοmplementary when their sum is 90°.
Tοw angles are supplementary when their sum is 180°
If x is οne angle, then its cοmplementary angle is (90-x)°
Given x is 4 mοre than twice its cοmplement.
We can write the equatiοn as:
x = 4 + 2*(90-x)
Sοlving,
x = 4 + 180 - 2x
3x = 184
x = 61.33°
Nοw we are asked tο find the supplementary angle οf x.
Supplementary angle = 180 - x = 180 - 61.33 = 118.67°
Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
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36-40. The probability that a fatal car accident is alcohol related is over 40%. The probability that a fatal accident happens at night is 5 times more than the probability that it happens during the day.
What should drivers do to stay safe on the road? Write a probability facts that is based in your real life events?
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Which polynomial function could be represented by the graph below?
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Help help math ASAP please thank you I’ll give points to honest answers
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Answer:
\(\displaystyle y = -2x + 8\)
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so ½ becomes −2. Now, proceed with plugging the information into the Slope-Intercept Formula:
\(\displaystyle 2 = -2[3] + b \hookrightarrow 2 = -6 + b; 8 = b \\ \\ \boxed{y = -2x + 8}\)
I am joyous to assist you at any time.
PLZ HELP!! WILL GIVE BRAINLIEST!! PLZ ANSWER HONESTLY TYSM!! The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52.
Which of the following best describes the motion of the car shown?
A. It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.
B. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
C. It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
D. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Plz explain and show your work :3 Thanks Peeps
Answers
Answer:
D. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Step-by-step explanation:
From the pair (0, 0) to (2, 26), we can see over a period of two hours, the car moved 26 miles, as the distance went from 0 to 26.
From the pair (2, 26) to (3, 26), we can see over the course of an hour, the car maintained the same distance, 26 miles, the entire time. This means that it stopped. We can rule out options A and B since those include a stop of 3 hours, when the stop is actually only 1.
From the pair (3, 26) to (5, 52), we can see over a time period of 2 hours, the car moved from 26 to 52 miles, so in other words it travelled. We can rule out C because the car only travelled 2 hours, from hour 3 to hour 5.
This leaves us with D as the answer, which perfectly fits the graph.
Answer:
D
Step-by-step explanation:
(It may be wrong) The answer is D because the car's starting point is at the origin (0,0) and goes up and right on both axis by 2 squares and drives for 2 hours (2,26), It then for and hour because only the x axis moves to (3,26) and the y axis doesn't shift then it continues to move up by 2 on both sides meaning that it traveled for another 2 hours.
A Norman window is a window with a semi-circle on top of a regular rectangular window. (See the picture.) What should be the dimensions of the window to allow in as much light as possible, if there are only 12 ft of the frame material available? wer: The width of the window should be ft, and the height of the window should be
Answers
Answer:
Diameter is the width = 7.64 ft
Step-by-step explanation:
Perimeter would need to be the arc of a semi circle measuring less than or equal to 12 Where perimeter therefore = 12* 2 = 24 24 / 3.14 = 7.64331210191 where 3.14 the value for pi and formula of a semi circle we use radius = 1/2 pi * 3.82 ^2 = D * pi = 7.65 and radius =7.64 / 2 = 3.82 so answer is the diameter = 7.64 ft
The figure shown is a parallelogram.
What are the values of x and y?
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Answer:
x=6 and y= 15 I think im correct don't take my word for it
I need it done very quick pls help
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Determine if the lim f(x) exists using the graph below.. If it does, find its value. If it does not,x 1explain why
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The limit of a function f at a point a exists if:
\(\lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)\)\(\begin{gathered} \text{ From the given image, the value of the left limit of f at x=1 } \\ \lim_{x\to a^-}f(x)\lt1 \end{gathered}\)Also,
\(\begin{gathered} \text{ From the given image, the value of the right limit of f at x=1 } \\ \lim_{x\to a^+}f(x)\gt1 \end{gathered}\)
Therefore,
\(\lim_{x\to1^-}f(x)\lim_{x\to1^+}f(x)\)Hence, the limit does not exist
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Please explain this to me If f(x)=4x-2 than f(x-1)= A. 4x^2-6x+2 B. 4x^2+2x+2 C. 4x+2 D. 4x-6 E. 4x-1
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Answer:
D. 4x − 6
Step-by-step explanation:
f(x) = 4x − 2
f(x−1) = 4(x−1) − 2
f(x−1) = 4x − 4 − 2
f(x−1) = 4x − 6
30% of the pens in a box are missing their caps. There are 24 pens missing their caps.
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Answer: 80
Step-by-step explanation:
1, 30/24= 1.25 1.25 is the unit rate percentage of a pen
2, 100/1.25 is 80 pens
3, checking our work... we know we have 80 pens so 80 1.25*80= 100%
How long must 100 be invested at a rate of 4% to earn 32.00 in interest