What is the Range of the data set? 85, 90, 100, 90, 25, 90
Answer:
75
Step-by-step explanation:
100-25=75
Answer:
75
Step-by-step explanation:
Subtract the smallest value from the largest value so 100 - 25 = 75
Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)
By satisfying all the four criteria, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.
How to determine if a quadrilateral is an isosceles trapezoidBased on vectorial expressions, an isosceles trapezoid satisfies the following properties:
(i) [tex]\overrightarrow{CD} = k \cdot \overrightarrow{AB}[/tex], for k ∈ [tex]\mathbb{R}[/tex]
(ii) AB ≠ CD
(iii) [tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]
(iv) AC = BD
Now we proceed to prove each property:
Requisite I
(3 - (-3), 4 - 4) = (6, 0)
(5 - (-5), 0 - 0) = (10, 0)
(6, 0) = (5/3) · (10, 0)
Requisite II
AB = 6, CD = 10
AB ≠ CD
Requisite III
[tex]\overrightarrow{AC} = (2, 4)[/tex]
[tex]\overrightarrow{BD} = (-2, 4)[/tex]
[tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]
Requisite IV
[tex]AC = \sqrt{[-3-(-5)]^{2}+(4-0)^{2}}[/tex]
[tex]AC = \sqrt{2^{2}+4^{2}}[/tex]
[tex]AC = 2\sqrt{5}[/tex]
[tex]BD = \sqrt{(3-5)^{2}+(4-0)^{2}}[/tex]
[tex]BD = \sqrt{(-2)^{2}+4^{2}}[/tex]
[tex]BD = 2\sqrt{5}[/tex]
AC = BD
The figure with the entire quadrilateral is shown below. Therefore, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.
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i need help pls and thxs
Answer:
Step-by-step explanation:
132 degrees
Pythagorean theorem Digital Escape Puzzle 4,Need Answer Immediately!!!
Answer:
AGIB
Step-by-step explanation:
I solved it eh.
Pretty simple honestly.
But school ends!
Each side and each area were calculated using the Pythagoras theorem.
What is the Pythagoras theorem?The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.
So, using the Pythagoras theorem
[tex]TU^2=175^2-79^2[/tex]
[tex]TU^2=24384[/tex]
[tex]TU=156.15[/tex]
So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.
Similarly, [tex]GH = \sqrt{207^{2}-98^2 }[/tex]
[tex]GH=182.33[/tex]
So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.
Thus, each side and each area were calculated using the Pythagoras theorem.
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Which is equivalent to 1/2? Select all that apply
Answer:
options man?
Step-by-step explanation:
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24
1/2 = 25/50 = 50/100 = 100/200 = 150/300 = 200/400 = 250/500
Answer:
a sin 30
Step-by-step explanation:
i just need more points
yeah i really need help i have been at it for hours o btw u get brainly if u get it right
Answer:
(-5,-5)
Step-by-step explanation:
Connect The points H and F so it forms a right angle
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
G = (-5,-5)
Step-by-step explanation:
d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2
Let's use the coordinate pairs: (6,4) and (6,-5).
Input.
d = sqrt (6 - 6)^2 + (-5 - 4)^2
Solve.
d = sqrt 0 + (-9)^2
d = sqrt 0 + 81
d = sqrt 81
d = 9
Count 9 places back from (6, -5) , then you will arrive at (-5,-5).
Thus, the fourth vertex of the rectangle "EFGH" is (-5,-5) for G.
Which of the following relations is a function?
A.
(5, 10), (-8, 2), (-1, 8), (-5, 10)
B.
(10, 5), (2, -8), (8, -1), (10, -5)
C.
(5, 10), (-8, 2), (-1, 8), (-1, -5)
D.
(-1, 10), (-8, 2), (-1, 8), (-8, -5)
Answer:
A. (5, 10), (-8, 2), (-1, 8), (-5, 10)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Point F is on line CD. Find the measure of angle CFE. Show your work.
Answer:
CFD = 180
EFD= 152
180-152= 28
CFE= 28
Step-by-step explanation:
Please help!
Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!
Answer:
roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]
Step-by-step explanation:
[-b ± √b² - (4ac)] ÷2a
2x² - 5x - 6 = 0
a = 2
b = -5
c = -6
[5 ± √5² - 4(2)(-6)] ÷ 2(2)
[5 ± √25 - (-48)] ÷ 4
[5 ± √73] ÷ 4
Expand and simplify
2(2a - b) + 5(3a - 2b) pls quick
Answer:
19a - 12b
Step-by-step explanation:
2(2a - b) + 5(3a - 2b)
4a - 2b + 15a - 10b
19a - 2b - 10b
19a - 12b
plssssssssss helpppppppppppppp will give brainliest
Answer:
The median of the data is 3.5
Diego predicts that his basketball team has two third probability of winning each of their next seven games select two ways Diego could accurately simulate the number of games his team will win
A , put the number 0 through 7 in a bag pick a number from the back
B, will a standard number cube 7 times count the number of twos
C, roll a standard number cube 7 times count how many of ones to threes and fours
D, Marcus spinner with 12 equally sized sections right when on four of the sections spin the spinner seven times and count the number of times it ends on the win
E, put 10 white chips and fiber chips in a bag draw a chip from the bag record its results and put it back in the bag do the seven times and count the total number of white chips drawn
Answer:
C and D
Step-by-step explanation:
Both have a 2/3 chance of success, and are completed 7 times :)
let me know if you need more explanation
Options (C) and (D) are same as Diego predictions.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Diego predicts that his basketball team has two third probability of winning each of their next seven games.
The probability of winning = [tex]\frac{2}{3}[/tex]
We need to choose from the option, which has the same probability as above.
Option A:
Put the number 0 through 7 in a bag pick a number from the back.
Here, the probability = [tex]\frac{1}{8}[/tex] and the process is done for one time only.
So, this option is not same as above.
Option B:
Will a standard number cube 7 times count the number of twos.
Here, the probability = [tex]\frac{1}{6}[/tex]
So, the option is not same as above.
Option C:
Roll a standard number cube 7 times count how many of ones to threes and fours.
Here, the probability = [tex]\frac{4}{6}[/tex]
⇒ [tex]\frac{2}{3}[/tex]
So the option is same as above.
Option D:
Marcus spinner with 12 equally sized sections right when on four of the sections spin the spinner seven times and count the number of times it ends on the win.
Here, the probability = [tex]\frac{8}{12}[/tex]
⇒ [tex]\frac{2}{3}[/tex]
So the option is same as above.
Option E:
Put 10 white chips and fiber chips in a bag draw a chip from the bag record its results and put it back in the bag do the seven times and count the total number of white chips drawn.
Here, number of fiber chips is not given.
So, we could not predict the probability for this option.
Hence we can conclude that options (C) and (D) are same as Diego predictions.
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Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same design is shown in the table below. y 10 $105 20 $185 30 $265 4:0 $345 Which equation represents the relationship between x and yo! A y = 10x - 55 By = 80x + 105 C y = 8x + 25 D y = 25x + 8 a А B od
Answer:
y = 8x + 25
Step-by-step explanation:
Using the coordinates (10, 105) and (20, 185)
The standard linear equation is expressed as y = mx+c
m is the slope
c is the intercept
m = 185 - 105/20-10
m = 80/10
m = 8
Get the y-intercept
Since y = mx+c
105 = 8(10) + c
105 = 80 + c
c = 105 - 80
c = 25
Get the required equation
Recall that y = mx+c
y = 8x + 25
Hence the required equation is y = 8x + 25
help me pls and thank you
Answer: it’s 24
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
Answer:
24
Step-by-step explanation:
Solve each system of linear equations by using substitution method.
x - y = -2
2x + y =5
100 POINTS PLS ANSWER
Answer:
x = 1, y = 3
Step-by-step explanation:
Given:
x - y = -2
2x + y = 5
First, add y on both sides for the first equation.
x = y - 2
Then, plug in x into the second equation.
2(y -2) + y = 5
2y - 4 + y = 5
3y = 9
y = 3.
Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.
2x + 3 = 5
2x = 2
x = 1.
Ans: x = 1, y = 3
can someone help me with this???
Answer:
it's 47 degree answer of your question
Find the fare with 15% tip: 4 passengers, 12 miles.
O $21.45
O $22.36
o $23.75
O $24.67
Answer: 24.67 or D
Step-by-step explanation:
i just took the quiz, goodluck <33
can someone help me plzz?? No linkss
Answer:
c. 4
Step-by-step explanation:
f ( -2) means x = -2
so just replace x with -2
Please help!!! 20 points
Answer:
4) 2xy(x^2-2x-8) 2xy(x-4) (x+2)
5) 3(x^2-9x-10 3(x+1) (x-10)
Step-by-step explanation:
PLEASE HELP WITH GEOMETRY!!!
Answer:
Solutions given:
opposite side [0pp]=x
hypotenuse [Hypo]=7
angle A=36°
Now
relationship between opposite side and hypotenuse is given by Sin angle
Sin A=[tex] \frac{oppo}{hypo} [/tex]
Sin 36=[tex] \frac{x}{7} [/tex]
x=Sin36*7
x=4.11
So second one x=4.1 is your answer
What two integers have a sum of -19 and a product of 84?
-7 x -12
7x12=84
7+12=19
which number sentence is true? plz help
3 boxes on top
8 boxes on the bottom
2/3 < 6/8
2/3 < 2/8
1/8 > 1/3
3/3 < 3/8
Answer:
True: 2/3 < 6/8Step-by-step explanation:
The rest are incorrect.
PLS HURRRRRRRYYYYY TYYY
Answer:
It's 15.70796. Won't go in-depth since time seems to be of the essence
Step-by-step explanation:
Won't go in-depth since time seems to be of the essence
A triangle has an area of 300 square inches. The height of the triangle is 12.5 inches. What is the
base of the triangle?
A:24 inches
B:48 inches
C:12 inches
D:30 inches
Answer:
C Base x Height ÷ 2. 300 ÷ 2 = 150. 150 ÷ 12 .5 is 12.
PLEASE HELP MEEEE I NEED THE ANSWER AHH
answer:
0
step by step explanation:
help me and please tell me how did you get the answer
Answer:
The sum is 10
Step-by-step explanation:
Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2
Rewrite: 4(2 1/2)
Make fraction improper: 4(5/2)
Distribute: 20/2
Simplify: 10
Suppose that AB and EF are corresponding sides of similar triangles. If AB=2 and the scale factor is 5, what is EF?
Answer:
EF=10
Step-by-step explanation:
If they are corresponding,
AB = 2 x Scale factor of 5 = 10
What is the area surface of a cylinder 11x8
Answer:
400.7 cm^3
Step-by-step explanation:
When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.
Answer:
63.5, 66.5
Step-by-step explanation:
Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.
What is the empirical rule?The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.
Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.
The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:
[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds
This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.
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how many vertices does this shape have? (Multiple choice)
Answer:
10
Step-by-step explanation: