Answers
A diagram is shown below.
====================================================
Explanation:
First we make a copy of AB. Then we tack on a copy of CD onto AB. Check out the diagram below to see what I mean. The segments AB and CD glue together to form the larger segment AD. We can say AB+CD = AD. Dividing that larger segment in half will locate the midpoint and it will help us average the lengths of AB and CD. It's the visual or geometric meaning of what "average" means.
To find the midpoint of any segment, we involve the process of finding the perpendicular bisector. Recall that "bisect" means to "cut in half". The perpendicular bisector of XM is point Y, and XY is exactly half that of segment AD.
------------
Check out the diagram below.
Figure 1 is the two segments separated, and figure 2 has us glue them together to form segment AD. Segment AD is renamed to XZ. Finding the perpendicular bisector of XZ leads to point Y at the midpoint and [tex]\text{XY} = \frac{\text{AB+CD}}{2}[/tex], which is shown in figure 3.
Related Questions
3. Mr. Tipplat can grade 4 papers in 3 minutes. How long wil it take him to grade 22 papere?
Answers
Answer: Find the formula and there you go
Step-by-step explanation: Each 4 papers = 3 minutes keep adding it until I get near twenty one and don't go over
Harley downloads 8 games the total amount of available memory used for the games 57.2 gigabytes
Answers
Answer:
each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.
Step-by-step explanation:
57.2 divided by 8 is 7.15
help me please I don't wanna fail his
Answers
explanation;
if 3 | 3 = 3.3, then the line must mean that the | is a decimal point.
so for 1 | 88 , the line is the decimal point so it should be 1.88.
same explanation for the rest, 2 | 025 = 2.025, 3 | 0115 = 3.0115
Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $334 million in ticket sales. If Singer B took in $26 million less than Singer A, how much did each tour generate?
Answers
The angle measurements in the diagram are represented by the following expressions
Answers
Answer:
∠ B = 126°
Step-by-step explanation:
∠ A and ∠ B are alternate angles and are congruent , then
8x + 78 = 2x + 114 ( subtract 2x from both sides )
6x + 78 = 114 ( subtract 78 from both sides )
6x = 36 ( divide both sides by 6 )
x = 6
Then
∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°
A man Buy television set at a price exclusive of sales tax for $2124 if sales tax of 12% is changed how much money does the man pay
Answers
Answer:
2378.88
Step-by-step explanation:
12/100 x 2124
=254.88
2124+254.88=answer
Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Answers
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52
Answers
Answer:Let's assume x be the smaller number.
Given that, The greater number is 4 more than the smaller number.
So, greater number= x+4.
It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,
x + (x + 4) = 52
Step-by-step explanation:
Please help me fast I am in the middle of a test and I will give a brainleist.
Answers
Answer:
okay I believe it's A sorry If I'm wrong
Step-by-step explanation:
Answer:
St^{23}\sec \left(o\right)ndsago+5pts^6c-5b+18.2-2b+c+3
ep-by-step explanation:
simplify -9 with an exponent of -3
Answers
step by step
neg exponent mean u flip so it would be 1/-9^3
then u solve -9^3 which is -729
1/-728
The Intelligence Test Scale in a school is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65th percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90th percentile? c) What is the probability of getting a raw score between 28 and 38? d) What is the probability of getting a raw score between 41 and 44?.
Answers
Using the normal distribution, it is found that:
a) The 65th percentile is of 37.31.
b) The 90th percentile is of 42.68.
c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 35, hence [tex]\mu = 35[/tex]The standard deviation is of 6, hence [tex]\sigma = 6[/tex]Question a:
The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.385 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 0.385(6)[/tex]
[tex]X = 37.31[/tex]
The 65th percentile is of 37.31.
Question b:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 1.28(6)[/tex]
[tex]X = 42.68[/tex]
The 90th percentile is of 42.68.
Question c:
The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:
X = 38:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{38 - 35}{6}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 35}{6}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a p-value of 0.121.
0.6915 - 0.121 = 0.5705.
There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
Question d:
The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:
X = 44:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44 - 35}{6}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 35}{6}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
0.9332 - 0.8413 = 0.0919
There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
A similar problem is given at https://brainly.com/question/24663213
what is the solution set of the equation set 3|5-x|+2=29 ?
Answers
Answer:
Answer: x = - 4 or x = 14.
Step-by-step explanation:
Rearrange unknown terms to the left side of the equation:3 |5 - x| = 29 - 2Calculate the sum or diff.
Ava bought 2 sandwiches for a total of $5.25 , a bowl of soup for $3.00, and a bag of chips for 1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
she would get 11 dollars back
Step-by-step explanation:
look....first count all the money together 5 + 3 + 1 = 9............Then subtract 9 from 20 and there u go
Ava spent $9.50 total.
$20.00 - $9.50 = $10.50
After paying with a 20 dollar bill, she would receive $10.50 in change.
PLEASE HELP ! what is f(5)
A) 0
B) 5
C) -7
D) -5
Answers
- BRAINLIEST answerer
f(5) = -7
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answers
Answer:never touch
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
Using these points, we can determine that the equation is as follows:
Line B: y = -2/3x + 7/3
And since Line A has the same slope, it would make Line A's equations like this:
Line A: y = -2/3x - 11/3
This makes these equations Parallel to each other because they have the same slope with different y-intercepts.
Write the explicit formula for
-1,-3,-9,-27,-81...
Answers
Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]
Find the equation of the line
Answers
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
if 10 litres of petrol can cost 650 calculate the cost of 15 Litres and 25 litres
Answers
Answer:
15 liters = 975
25 liters = 1625
Step-by-step explanation:
10 liters = 650
1 liter = 650/10 = 65
15 liters = 65 x 15 = 975
25 liters = 15 liters + 10 liters = 975 + 650 = 1625
-Chetan K
Please help me ASAP I don’t understand sigh
Answers
Answer:
x = -2, y = -6
Step-by-step explanation:
(8x - 3y) + (-8x - 5y) = 2 + 46
-8y = 48
y = -6
8x - 3y = 2
8x - 3(6) = 2
8x + 18 = 2
8x = -16
x = -2
Answer:
[tex]\boxed { \sf (-2, -6) }}[/tex]
Step-by-step explanation:
We are asked to find the solution of the system of equations.
[tex]8x-3y=2\\-8x-5y=46[/tex]
When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.
The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.
[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]
8x and -8x cancel, then add.
[tex](-3y=2)\\+ (-5y=46)[/tex]
___________
[tex]-8y= 48[/tex]
We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.
[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]
Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.
I chose the first equation.
[tex]8x-3y=2[/tex]
[tex]8x-3(-6)=2[/tex]
[tex]8x+18=2[/tex]
Subtract 18 from both sides to isolate 8x.
[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]
Divide both sides by 8.
[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]
Coordinate points are written as (x,y) so our solution is (-2, -6)
How to find left and right inverse of a 3x2 matrix.
Answers
Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.
To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.
For the left inverse, we have
[tex]LA=I[/tex]
[tex](LA)A^\top = IA^\top[/tex]
[tex]L\left(AA^\top\right) = A^\top[/tex]
[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]
[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]
We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.
[tex]AR=I[/tex]
[tex]A^\top(AR)=A^\top I[/tex]
[tex]\left(A^\top A\right)R = A^\top[/tex]
[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]
[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer:
slope= 1/4
Step-by-step explanation:
8-5 over 8-(-4)= 3/12=0.25 = 1/4
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Answers
Answer:
The slope of the line is [tex]\frac{9}{2}[/tex] (nine over two)
Step-by-step explanation
Have a nice day
-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
Answers
Answer:
One Solution
x = -9/2
Step-by-step explanation:
help me brain pt Part 2
Answers
the equation of a function is y=25- 3x find the value of x when y=34
Answers
34=25-3x
3x=25-24
3x=1
X=1/3
-3
What is the total annual dividend received from owning 50 shares of stock A, if Company A issues a $0.10 quarterly dividend to its shareholders?
total annual dividend = [?]
Round to the nearest hundredth.
Answers
Answer:
20 dollars
Step-by-step explanation:
.10 x 4 (each quareter) = .40
.40 x 50 = 20.00
= $20.00
pleaseeeee helpppppppppppppp
Answers
A math class has 3 girls and 7 boys in the seventh grade and 3 girls and 3 boys in the eight grade. The teacher randomly selects a seventh grader and an eight grader from her class for a competition. What is the probability that the students she selects are both boys?
Answer: 3/5
find the length of segment AB
Answers
11x= 6x+20
5x=20
x=4
So plug in 4 to AB 11(4)-9
If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?
Answers
Answer:
55 degrees
Step-by-step explanation:
Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.
So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answers
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
Done
Step-by-step explanation:
Missing reasons:
2. Reflexive3. Given4. Given5. Definition of bisect6. Third angle theorem7. ASA