Answer: WX = 4
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
VX = 18
VW = 14
Given expression deducted from the segment addition postulate
WX = VX - VW
Substitute values into the expression
WX = 18 - 14
Simplify by subtraction
WX = 4
Hope this helps!! :)
Please let me know if you have any questions
What does heredity mean?
DNA make RNA, and RNA makes proteins
a human genetic disorder
traits passed down from parent and grandparents to offspring
the process of DNA replicating into two strands
calculate the gradient of the straight line which joins A(2,-3) and B(6,9)
Answer:
Gradient: m = 3
Step-by-step explanation:
m = change in y/change in x
m = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
m = [tex]\frac{9-(-3)}{6-(2)}[/tex]
m = 12/4
m = 3
Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC
Answer:
AC = 22
Step-by-step explanation:
AB + BC = AC , substitute values
4x - 6 + 4 = 2x + 10 , that is
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22
Factorize 2x^2-5/3xy-2y^2
I hope it helps you
Answer:
[tex]y = 0 \: .x = \frac{2}{3} y[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]
[tex]3xy - 2 {y}^{2} = 0[/tex]
[tex]y \times (3x - 2y) = 0[/tex]
[tex]y = 0 = 3x - 2y = 0[/tex]
[tex]y = 0 = 3x = 2y[/tex]
[tex]y = 0[/tex]
[tex]x = \frac{2}{3} y[/tex]
[tex]y = 0. \: x = \frac{2}{3} y[/tex]
Describe the differences that exist between the informal geometric reasoning and formal thinking used to prove conjectures
Answer:
hey
Step-by-step explanation:
Formal geometric reasoning gives better information than informal geometric reasoning.
What is informal geometry?Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.
What is formal geometric?Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.
An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.
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The interior angle of a polygon is 108⁰ greater than the exterior angle. How many sides has the polygon
=========================================================
Explanation:
x = exterior angle
x+108 = interior angle, as its 108 degrees larger than the exterior
The two angle pairs add up to 180, since they form a straight line
exterior+interior = 180
x+(x+108) = 180
2x+108 = 180
2x = 180-108
2x = 72
x = 72/2
x = 36
The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.
Answer:
10 sidesStep-by-step explanation:
Let the number of sides is n.
We know the sum of interior angles is:
180(n - 2)So each interior angle is:
180(n - 2)/nWe also know the sum of exterior angles is 360, so each exterior angle is:
360/nWe are given the difference of the interior and exterior angles:
180(n - 2)/n - 360/n = 108Solve the equation for n:
180(n - 2) - 360 = 108n180n - 360 - 360 - 108n = 072n = 720n = 10The polygon has 10 sides
pls tell correct ans as fast as possible
Step-by-step explanation:
the answer is in picture
the cost price is 50
Answer:
Rs 50Step-by-step explanation:
Number of books bought = 2000Number of books sold = 2000 - 200 = 1800Cost of each book = cTotal cost = 2000cProfit = 8% of 2000cSolve for c:
2000c*0.08 = 1800(c + 10) - 2000c160c = 18000 - 200c360c = 18000c = 18000/50c = 50Someone please help find the answer. I already know it’s not C.
Answer:
I can't see the question
Step-by-step explanation:
Take a proper picture
The box plots show the amount of time It took members of cross-country teams from two different schools to finish a two-mile run.
A. There is a weak evidence that team members from School J run slower than team members from School K.
B. There is no evidence that team members from School J run slower than team members from School K.
C. It is certain that team members from School J run slower than team members from School K.
D. There is strong evidence that team members from School J run slower than team members from School K.
Answer:
D
Step-by-step explanation:
Factorize: a^3-1+ a-1
Answer:
[tex](a-1)(a^2+a+2)\\[/tex]
Hi,
Step-by-step explanation:
[tex]Remember:\ x^3-y^3=(x-y)(x^2+xy+y^2)\\a^3-1+a-1\\\\=(a-1)(a^2+a+1)+1(a-1)\\\\=(a-1)(a^2+a+2)\\[/tex]
Answer:
have a great day
god bless you
X^2+4x+3
--------------
x^2-1
Reduce the above expression to its lowest terms
Answer:
your answer is 4x+4
Step-by-step explanation:
x^2-1) x^2+4x+3 (1
x^2 -1
(-) (+)
4x+4
quotiend is 1
remainder is 4x+4
Answer:
your answer is 7x/-1
Step-by-step explanation:
x^2 cancels out x^2
4+3=7
therefore your answer is 7x/-1
The slope of a line equals the “run over the rise.”
True or false
Answer:
False
Step-by-step explanation:
The slope of a line is
Change in y over change in x
This is also known as rise over run
Please help ASAP!!!!! Also show details
Answer:
1)
AB = 23-18.9
AB= 4.1
~~~~~~~~~~~~~~~~~
2) 5x+15 = 50
5x=35
x=7
Step-by-step explanation:
(5a -2b +7c) + (3a + b -c) (Write answer in alphabetical order.) *
Answer:
8a - b + 6c
Step-by-step explanation:
Just combine like terms.
5a + 3a = 8a
-2b + b = -b
7c - c = 6c
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
A
(8. – 33 )
B
(-1,1)
C
(-4,3)
D
(5,2)
E
I don't know yet
Answer:
None of the first 4 do. so I guess the answers E.
Step-by-step explanation:
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $76.49 how many KWH of energy were used in house this month?
- 50 = 6α + 28
Help pls
Answer:
A=13
hope this helped!!!
Answer:
-13
Step-by-step explanation:
-50=6a+28
collect like terms
-50-28=6a
-78=6a
divide both sides by the coefficient of a
-78/6=6a/6
a=-13
“Angle 7 and angle 8 are complementary. Angle 5 ≅ angle 8 and the measure of angle 6 = 29. Show your work to find the measure of angle 7 and 5.”
Based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
What are Complementary Angles?Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.
Angle 7 and angle 8 are complementary [given]
Angle 5 and angle 6 will also be complementary
Angle 5 ≅ angle 8 [given]
Angle 7 will also be congruent to angle 6
Measure of angle 6 = 29° [given]
Measure of angle 7 = 29°
Measure of angle 5 + measure of angle 6 = 90 degrees
Substitute
Measure of angle 5 + 29° = 90°
Measure of angle 5 = 90° - 29°
Measure of angle 5 = 61°
Therefore, based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
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Write a function C(t) to represent the cost of
renting a canoe for t hours. The rental charge
is $25 plus $2 for every 20 minutes of rental.
Find C(1.5) and describe its meaning.
Answer:
C(t)=25+2t
C(1.5)=25+2(1.5)=28
$28 for 1.5 minutes rent
A function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t and the cost for 1.5 minutes will be $28.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given that the rental charge is $25 plus $2 for every 20 minutes of rental.
The function formed for the given data will be:-
C(t)=25+2t
At 1.5 minutes the rent will be calculated as below:-
C(1.5)=25+2(1.5)=28
Therefore, the function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t, and the cost for 1.5 minutes will be $28.
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Anyone... l will give BRAINLIEST!!
Answer:
T (6, 5 )
Step-by-step explanation:
Using the section formula
If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point
Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2
T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )
= [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )
= [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )
= (6, 5 )
In the figure, AOB is a straight line. Find the value of x.
Answer:
x =36
Step-by-step explanation:
The three angles form a straight line which means they add to 180
2x+2x+x = 180
Combine like terms
5x = 180
5x/5 = 180/5
x =36
Answer:
X=36
Step-by-step explanation:
A straight line like the one shown in the image has 180° by one side.
Following that, we should assume that:
2x+2x+x=180°
5x=180°
x=36°
I hope I have helped you.
Jen has 2 quarters, 5 dimes, 3 nickels, and 2 pennies in her pocket.
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add
Answer:
2 cups of yogurt
Step-by-step explanation:
1=1/2
4=4×(1/2)
=2
Answer question worth 25 points plz help!
Answer:
B
Step-by-step explanation:
Depart London at 12:30. A 7 hour and 30 minutes videos and arrives in New York at 15:00. What is the time difference between London and New York
Answer:
Step-by-step explanation:
Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!
I'm not smart like 60% but help
Answer:
SEE THE IMAGE FOR SOLUTION.
HOPE IT HELPS
plz solve this for me as soon as possible
Answer:
Hello,
Step-by-step explanation:
[tex]f(n)=4n-5\\\\g(n)=an+b\\\\(gof)(n)=5n+1\\\\f(g(n))=f(an+b)=4*a*n+4b-5=5n+1\\\\4an=5n ==> a=5/4\\4b-5=1 ==> 4b=6 ==> b=3/2\\\\\\\boxed{g(n)=\dfrac{5n}{4} +\dfrac{3}{2} }\\\\[/tex]
2/7-3/8+2/5 Simplify
Answer:
0.31
Step-by-step explanation:
(2/7)-(3/8)+(2/5)
Answer:
LCM: 7,8,5 = 280
80/280 - 105/280 + 112/280
87/280
Step-by-step explanation:
b) Convert 101, into denary number
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
..A number divided by 5 is 15 how do you right it as a equation
Answer:
75
Step-by-step explanation:
Let's say the unknown number is x
x/5 = 15
x = 15*5
x = 75