Line segment Z E is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector of AngleYGZ and the perpendicular bisector of Line segment E F. Line segment F Y is the angle bisector of AngleZFX and the perpendicular bisector of Line segment E G. Point A is the intersection of Line segment E Z, Line segment G X, and Line segment F Y.
Triangle G E F has angles with different measures. Point A is at the center. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Z, and A Y.
Which must be true?
Point A is the center of the circle that passes through points E, F, and G but is not the center of the circle that passes through points X, Y, and Z.
Point A is the center of the circle that passes through points X, Y, and Z but is not the center of the circle that passes through points E, F, and G.
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
Point A is not necessarily the center of the circle that passes through points E, F, and G or the center of the circle that passes through points X, Y, and Z
Answers
The correct option that depicts the centroid of the triangle is; C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
How to interpret the segments formed from Triangle Centroid?The center of inscribed circle into the triangle is the point where the angle bisectors of the triangle meet.
The center of the circumscribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.
Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides. Thus, the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle.
Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Thus, the correct option is option C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
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Related Questions
After a robbery, a thief jumps into a taxi and disappears. An eyewitness on the crime scene is telling the police that the cab is yellow. In order to make sure that this testimony is worth something, the assistant district attorney makes a Bayesian analysis of the situation. After some research, he comes up with the following information: (1) In that particular city, 80% of taxis are black and 20% of taxis are yellow; and (2) Eyewitnesses are not always reliable and from past experience, it is expected that an eyewitness is 80% accurate. In other words, he will identify the color of a taxi accurately (yellow or black) eight out of ten times. What is the probability that the cab was really yellow, given that it was reported as being yellow
Answers
The probability that the cab was really yellow given that it was reported as being yellow is 0.32.
Given that there are 80% black taxis and 20% yellow taxis, witness is 80% accurate.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1. The value of probability can be calculated through the following formula:
Probability=Number of items/ total items.
Black taxis=80%
Yellow taxs=20%
Eyewitness is accurate=80%
Probability that the cab was really yellow=
P(X=Yellow)P(Witness is correct)+P(X=Black)P(Witness is incorrect)
Probability that car is black=0.8
Probability that car is yellow=0.2
Probability that witness is correct=0.8
Probability that witness is incorrect=1-0.8
=0.2
We have to just put the values in the formula given above.
Required probability=0.2*0.8+0.8*0.2
=0.16+0.16
=0.32
Hence the probability that the cab is really yellow is 0.32.
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Find the sum of the arithmetic series 19 + 25 +31 +37 +… where n=9
Answers
The sum of the arithmetic series 19 + 25 + 31 + 37 + … at n = 9 exists 387.
An arithmetic series exists given, 19 + 25 + 31 + 37 + … sum of this series exists to be defined at n = 9.
What is arithmetic progression?Arithmetic progression exists the series of numbers that contain a common difference between adjacent values.
The sum of an arithmetic series exists given as
[tex]$S_n = \frac{n}{2}[2a+(n - 1)d][/tex]
Where n be the total terms =9
a be the first term = 19
d be the common difference = 6
Substitute the values in the above equation, we get
[tex]$S_9 = \frac{9}{2}\left[2\cdot 19+\left(9\:-\:1\right)6\right][/tex]
[tex]$ = \frac{9}{2}\left[86\right][/tex]
= 387
Therefore, the sum of the arithmetic series 19 + 25 + 31 + 37 + … at
n = 9 exists 387.
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Which represents the inverse of the function f(x) = 4x?
O h(x) = x + 4
• h(x) = x-4
O h(x) = =x
• h(x) = =x
Answers
Answer: [tex]f^{-1}(x)=\frac{x}{4}[/tex]
Step-by-step explanation:
Let [tex]f(y)=x[/tex].
[tex]x=4y\\\\y=\frac{x}{4}\\\\\therefore f^{-1}(x)=\frac{x}{4}[/tex]
Look at sample problem 23.2. How many unpaired electrons are in (enter a number such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) 1. Ag 2. Mn3 3. Cr3
Answers
To find the unpaired electrons:
Ag+ represents the d10 system. Because there are no unpaired electrons, the system is diamagnetic.Mn3+ has the electronic structure [Ar]3d44s0. In 3d, there are four unpaired electrons.Because of the loss of three electrons, the chromium ion Cr3+ has 24e3e=21e.Therefore, unpaired electrons are:
Ag+ = No unpaired electronMn3+ = 4 unpaired electronCr3+ = 3 unpaired electronKnow more about unpaired electrons here:
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Find the mixed number halfway between 6.4 and 6½. Give
your answer in its simplest form.
Answers
Answer:
6.45
Step-by-step explanation:
I am not staring at zero. I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.
6.4 + 1/2(6.5-6.4) Combine in the parentheses
6.4 + 1/2(.5) Take half of .5
6.4 + .05 add
6.45
If there are 24 blue blocks and six of them are red what percentage of the blocks are red
Answers
Answer:
20 % are red
Step-by-step explanation:
I THINK this is what you mean:
24 blue + 6 red = 30 blocks total
6 red / 30 total = 6/30 = .2 = 20 %
Solve the following for x, x∈W
a) 76 x 75 x 74 x ... x 6 = P(76, x)
Answers
The required value is 70. Using the permutations formula the required value is calculated. I.e., P(76, x) = P(76, 70).
How to calculate permutations?The formula for permutations is
nPr = P(n, r) = n!/(n - r)!
Where P -number of permutations,
n - number of objects in the given set
r - number of choosing objects
Calculation:The given series is
76 × 75 × 74 × ... × 6 = P(76, x)
We know that,
76! = 76 × 75 × 74 × ... × 1 ...(i)
But to get the required series,
Divide the equation (i) by 6! = (76 - 70)!
Then,
76!/(76 - 70)! = 76 × 75 × 74 × 73 ... × 6
So, x = 70.
That is,
n!/(n - r)! = P(n, r)
⇒ 76!/(76 - 70)! = P(76, 70) = 2.618743E+108
Hence the required x value is 70.
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solve for the balloon volume using the equation below
Answers
The volume of the balloon is 1441.64cm³.
How to calculate the volume?The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²
The circumference c will be:
= 2πr = 2 × 22/7 × 7
= 44
The volume will be:
= c³/6π²
= 44³/(6 × 3.14²)
= 85284/(59.1576)
= 1441.64
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[please answer quickly] it takes 8 hours to paint a room. how long will it take to paint 2/3 of the room?
Answers
Answer:
5 hours 20 minutes.
Step-by-step explanation:
8 * 2/3
= 16/3
= 5 1/3
= 5 hours 20 minutes.
A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of nerds. suppose a game is played in which a candy is randomly taken from the bag, replaced, and then a second candy is drawn from the bag. if you are allowed to keep the second candy only if it was the same type a the one that was drawn the first time, calculate the probability of each of the following: a) you will keep a pack of fuzzy peaches b) you will be able to keep any of the candy c) you will not be able to keep any of the candy
Answers
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
How to calculate the probability?a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:
= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)
= 10/20 × 10/20
= 1/4
= 0.25
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
b. The probability to be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)
= 100/400 + 49/400 + 9/400
= 158/400
= 0.395
The probability to be able to keep any of the candy will be 0.395.
c. The probability that you will not be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)
= 100/400 + 91/400 + 51/400
= 242/400
= 0.605
The probability that you will not be able to keep any of the candy will be 0.605.
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16. If x= y² + 12, what is the value of y in terms of (A)x+12 (B) x-12 (C) √√x+12 (D) √√x-12
Answers
Answer:
D. y = √(x - 12)
Step-by-step explanation:
x = y² + 12
y² = x - 12
y = √(x - 12)
i’ll give brainliest
Answers
Answer:
5
Step-by-step explanation:
-2x - y = -3
y = -3x + 2
-2x - (-3x + 2) = -3
-2x + 3x - 2 = -3
x = -1
y = -3*-1 + 2 = 5
Select the correct answer from each drop-down menu.
Graph of 2 polygons. Polygon 1 at A (minus 6, 6), B (minus 4, 6), C (minus 4, 4), D (minus 6, 2) in quadrant 2. Polygon 2, A prime (minus 6, minus 6), B prime (minus 6, minus 4), C prime (minus 4, minus 4), D prime (minus 2, minus 6) in quadrant 4.
Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the
, followed by a reflection across the line
.
Answers
The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.
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Examine the inequality and its graph. Which values are part of the solution set? Check all that apply. x = 3 x = –5 x = negative one-half x = –4.5 x = –4
Answers
The value "x = 3" and "x = -1/2" are part of the solution set.
What can be represented on linear inequality?We can represent any linear inequality using any of the following forms:
x > bx < bx ≥ bx ≤ bNow, if the sign is pointing towards x, it means that x is greater than b., so, the line under the greater sign means that x can also equal b.
The options given are:
3: is greater than -4-5: is not greater than -4-1/2: is greater than -4-4.5: is not greater than -4-4: is not greater than -4.Hence, the value "x = 3" and "x = -1/2" are part of the solution set.
Therefore, the Option A and C is correct.
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Which is the graph of the equation ?
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
Answers
The equation of the line is y = 3/2x - 3
How to determine the line equation?The points are given as:
(0, -3), (2, 0), and (4, 3).
Start by calculating the slope (m) using:
m = (y2-y1)/(x2 -x1)
This gives
m = (3 + 3)(4 - 0)
Evaluate
m = 3/2
The equation is the calculated as:
y = m(x - x1) + y1
This gives
y = 3/2(x - 0) - 3
y = 3/2x - 3
Hence, the equation of the line is y = 3/2x - 3
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Find the unknown angle
x
4
z
y
Answers
Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.
please help me make a sequence :)
PLEASE DONT DELETE MY QUESTION :(
Answers
Rule 1: Multiply by 2 then add 1 starting
( n x 2 +1) => 2n + 1
n is the position of our terms, so I substitute 1 because you're told to start from 1 which becomes our first term
2n + 1
2 x 1 + 1 =3
2 x 2 + 1 = 5
2 x 3 + 1 = 7
2 x 4 + 1 = 9
3,5,7,9....
(you can clearly see the sequence increasing by 2 each time, not following Multiply by 2 then add 1)
However, if we were to do add one each time, you'll add one to your pervious answer. So, this time I'll substitute the pervious answer
2 x 1 + 1 =3
2 x 3 + 1 = 7
2 x 7 + 1 = 15
2 x 15 + 1 = 31
3,7,15,31....
(from 3 to 7, you clearly see its multiplied by 2, then +1 & that's our sequence, this method apply to the second rule too of using previous)
Rule 2: Divide by 2 then add 4
(n ÷ 2 + 4) => n/2 + 4
n/2 + 4
(starting from 40.)
40/2 + 4 = 24
24/2 + 4 = 16
16/2 + 4 = 12
12/2 + 4 = 10
24,16,12,10.....
Answer: (started off with the number it asked of)
R 1 -
1,3,7,15,31....
(1 x 2 +1 does give 3)
R 2 -
40, 24,16,12,10.....
(40÷2 = 20, then + 4, gives 24)
Hope this helps!
W
Mark this and return
X
What is the value of a?
O 5 units
05
units
O 6 units
O 7 units
Save and Exit
Submit
Answers
Answer:jio
Step-by-step explanation:
what is the range of the function of graph?
a.) all real numbers
b.) all real numbers greater than or equal to 0
c.) all real numbers greater than or equal to 1
d.) all real numbers greater than or equal to 2
Answers
The correct answer is "all real numbers greater than or equal to 2".
Q.2. If the line y=x is reflected over the x - axis and made flatter(less steep) by a factor of ½ then write the equation of the new line
Answers
Using translation concepts, the equation of the new line is:
[tex]y = -\frac{1}{2}x[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
The function is reflected over the x-axis, hence it is multiplied by -1.It is made flatter by a factor of 0.5, that is, it is multiplied by 1/2.Hence the equation of the new line is:
[tex]y = -1 \times \frac{1}{2} \times x = -\frac{1}{2}x[/tex]
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70 men constructed 150 meter long wall in 12 days so as hoy many person construct 600 meters long wall in 30 days
Answers
112 men construct 600 meters long wall in 30 days.
What is Time and Work formula?
[tex]\frac{M_1\times D_1}{W_1}=\frac{M_2\times D_2}{W_2}[/tex]
We can find the number of persons who can construct 600 meters wall as shown below:
Here, [tex]M_1=70[/tex]
[tex]D_1=12[/tex]
[tex]W_1=150[/tex]
[tex]W_2=600[/tex]
[tex]D_2=30[/tex]
We have to find [tex]M_2[/tex]
Putting in formula
[tex]\frac{70 \times 12}{150}=\frac{M_2\times 30}{600}[/tex]
[tex]M_2=\frac{70\times 12\times 600}{150\times 30}[/tex]
[tex]M_2=112[/tex]
Hence, 112 men can construct 600 meters wall in 30 days.
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Jack's cow is tied to a
beanstalk with a piece
of rope that is 15 ft long.
What is the area of the
circle in which the cow can graze
Answers
Answer:
706.86ft² or 225π ft²
Step-by-Step Explanation:
r = 15ft
Now solve the area of the circle! :)
A=πr²
A=π15²
A=225π ft²
or to simplify further!
A=706.86ft²
Which of the following is a proper way to enter an answer of 1.666 on the SAT SPR answer grid?
A
1/66
B
1.67
C
1.66
D
1.666
Answers
The correct answer is Option B) 1.67 after rounding off.
What is rounding off a decimal number?Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.
Given here, the number with decimal 1.666 , thus rounding off we get the answer a 1.67
Hence, the correct answer is Option B)
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Draw a graph of Lin’s distance as a function of time for this situation:
Lin walked a half-mile to school at a constant rate. Five minutes after arriving at school, Lin realized that she had left her permission slip at home. Lin began sprinting home, but when she was halfway there she got tired and walked the rest of the way.
Answers
The graph of Lin's distance as a function of time cannot be a straight line graph because of decrease in speed.
Given that Lin walks half a mile at a constant rate i.e. Lin velocity is constant.
If the speed is low then the time will be high. If speed is high then the time will be low because of the following rule:
Speed=Distance/ time.
For the first five minutes the graph will be upward sloping because he was sprinting and his speed was high so he will cover much more distance.
But after five minutes the graph will be downward sloping as the speed becomes low and he willcover less distance.
Hence the graph of Line's distance will not look like linear curve.
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Read each question carefully and show work. Put your answer in the provided space.
Answers
Which of the following is 25 9/16 equal to?
Answers
Answer:
Step-by-step explanation:
25.5625
Answer:
25.5625
Step-by-step explanation:
The solution is in the image
Select the correct answer.
If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v - u?
Answers
The graph that aligns with the information is graph D.
How to illustrate the graph?We know that vector addition is scalar addition.
Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>
2v = < -2.5, 4.5>
2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >
2v-u = < 1 , 6 >
This vector is basically i + 6j which is drawn in option D
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You are playing the new Simpsons board game and it comes with a six sided dice with one of the following colors on each side, red, blue, green, purple, indigo and orange. If you roll orange you win a donut, if you roll green you get eaten by Maggie. What is the probability that you will roll anything but orange
Answers
The probability that person will be eaten by Maggie is 16.67%.
Given there are 6 sided coloured dice. Colours are red, blue,green,purple, indigo and orange.
We have to find the probability that the person will be eaten by Maggie.
Probability is the likeliness of happening an event among all the possible events. It lies between 0 and 1. The probability is the numberof items divided by the total number of items.
Number of green coloured sides=1
Total number of sides=6
Probability of getting green when the dice is rolled 1 time=1/6=0.1667
We have been told that if green comes then person will be eaten by Maggie so the probability that the person will be eaten by Maggie is 0.1667 which is 16.67%.
Hence the probability that the person will be eaten by Maggie is 16.67%.
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Question is incomplete as the complete question is :
What is the probability that the person will eaten by Maggie?
Gavin collects a certain type of seashell. He has 160 seashells. The seashells' weights are distributed normally with a mean of 120 grams and a
standard deviation of 26 grams.
How many of the seashells weigh at least 68 grams?
A 109
B. 156
C. 134
D. 152
Answers
Answer:
Answer: B.156
Step-by-step explanation:
Given: Total seashells = 160
mean = 120
population standard deviation = 26 grams
The probability that the seashells weigh at least 68 grams :-'
Total seashells weigh at least 68 grams = 0.9772 x 160 = 156.352≈ 156
Hence, the correct option is B.156
please mark brainiestJonh is paid $26 for 8 hours work how much should he be paid for working 37 hours at the same wage
Answers
Answer:
$120.25
Step-by-step explanation:
Divide 37 by 8. You get 4.625. Multiply 4.625 by 26. You get 120.25.
I hope this helps!