Answer:
KL = 12
Step-by-step explanation:
Given that L is the midpoint of KM , then
KL = KM , substitute values
2x = x + 6 ( subtract x from both sides )
x = 6
Thus
KL = 2x = 2 × 6 = 12
The measure of the segment KL is 12 units if the L is the midpoint of KM. If KL = 2x and LM = x + 6
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
L is the midpoint of KM. If KL = 2x and LM = x + 6.
Given that L is the midpoint of KM, then
From the question:
KL = KM
2x = x + 6
After simplification:
x = 6
KL = 2x
Plug x = 6 in the above equation:
KL =2(6)
KL = 12
The measure of the segment KL is 12 units.
Thus, the measure of the segment KL is 12 units if the L is the midpoint of KM. If KL = 2x and LM = x + 6.
Learn more about the linear equation here:
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14. Joe has 3 more than half the number of pets his
friend does. Joe has 4 pets. He represented this
situation with the following equation: 4 = 3 + x.
1
2
To figure out how many pets his friend has, Joe wants
to subtract a number from four. He will then multiply the
result by a number to determine how many pets his
friend has.
What number should Joe subtract?
What number should Joe multiply by?
Hey I
Answer:
3 and 1 respectively.
Step-by-step explanation:
Subtract 3 from 4.
4 = 3 + x
4 - 3 = x
1 = x
Multiply 1 by 1.
The no. of pets friend has = 1
Answer the following question: Melissa was collecting
stickers in her sticker album. She decided to organize
them with an equal amount on each page. If her album
had 40 pages, and she had 32 stickers on each page,
how many stickers will Melissa have if her album is
completely full?
Answer:
1,280
Step-by-step explanation:
Katarina is buying types of bird seed by the pound. For 11.00, she can buy 2 pounds of thistle seed and 1.5 pounds of sunflower seed. For 23.50 she can buy 3 pounds of thistly seed and 4 pounds of sunflower seed. How much does a pound of sunflower cost
Answer:
Step-by-step explanation:
2t + 1.5s = 11
3t + 4s = 23.50
6t + 4.5s = 33
-6t - 8s = -47
-3.5s = -14
s = $4 a pound for sunflower seeds
2.
Find the distance between A and B.
O A. 355 units
B. 7 units
O C. 3 units
OD. 153 units
Answer:
D
Step-by-step explanation:
Delta x is 7 and delta y is 2, according to Pythagoras a^2+b^2=c^2 so 49+4=53 and sqrt(53) is your answer.
i need help guysss please
Answer:
∠MON = 99
Step-by-step explanation:
∠LON = 180°
∠MON + ∠LOM = 180 -------equation
where:
∠MON = 8x - 13
∠LOM = 7x - 17
plugin values into the equation
8x - 13 + 7x - 17 = 180
8x + 7x - 13 - 17 = 180
15x - 30 = 180
15x = 180 + 30
x = 210 / 15
x = 14
plugin values to ∠MON = 8x - 13
∠MON = 8x - 13
∠MON = 8(14) - 13
∠MON = 99
Answer:
Angle MON = 99
Step-by-step explanation:
...........
..................
4 over 25 as a decimal
Answer:
0.16
Step-by-step explanation:
Simply divide 4 by 25
4/25=0.16
Hope this helps : )
Triangles U V W and X Y Z are shown. Angles V U W and Z X Y are congruent, angles U W V and X Z P are congruent, and angles U V W and Z Y X are congruent. The length of side U V is 50, the length of V W is 60, and the length of U W is 40. The length of side Z Y is 48, the length of Y X is 40, and the length of Z X is 32.
Which statement best describes triangles UVW and XYZ?
They are similar and congruent.
They are similar, but not congruent.
They are congruent, but not similar.
They are neither congruent nor similar.
The triangles UVW and XYZ are concurrent and similar, so option A is correct.
What is triangle?Triangle is one of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices, known as triangle.
Given:
Angles VUW and ZXY are congruent, angles UWV and XZP are congruent, and angles UVW and ZYX are congruent. The length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.
Here the triangles are congruent by the AAA congruence and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 and the side of the second triangle is also in the ratio 32:40:48 = 4:5:6 therefore they are also similar.
Therefore, the triangles UVW and XYZ are concurrent and similar.
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Answer: B: They are similar, but not congruent
Step-by-step explanation: edge2022
One leg of a right triangle is 1 cm less than the hypotenuse, and the other leg is 8 cm less than the hypotenuse. What is the length of the hypotenuse?
Answer:
the hypothesis is 5or 13
Step-by-step explanation:
let the hypotenuse be y so the first side will be y-1 and the other side will be y-8 repectively and using the pythagoras theorem you solved for the hypotenenuse
Error Analysis your friend evaluate (10-5)/5 and gets 9 for an answer. Explain your friend's error
Answer:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEeeeeEEEEEEEEEEEEeeeeeee make sure you thank it.
Step-by-step explanation:
is 2/3 a rational number?
Answer:
Yes
Step-by-step explanation:
A number that can be written as a ratio of two integers, of which denominator is non-zero, is called a rational number.
Therefore 2/3 is a rational number.
help me i need help i am in desperate need bork bork squeal
Area of a square = side^2
In this problem,
Side = 4in
Therefore,
Area = 4^2 = 16in^2
Area of a rectangle = length * width
In this problem,
Length = 6in
Width = 12.5in
Area = 75in^2
Area of a parallelogram = base * height
In this problem
Base = 10in
Height = 3.5in
Area = 3.5 * 10 = 35in^2
Now we add up the area from each shape
35 + 75 + 16 = 126in^2
Can you help me find x/5+7=16 Because I don’t know what it is.
Answer: x=45
STEPS:
1
Add the same term to both sides of the equation
2
Simplify
3
Multiply all terms by the same value to eliminate fraction denominators
4
Simplify
Answer:
x = 45
Step-by-step explanation:
x/5 + 7 = 16
- 7 = - 7
x/5 = 9
x times 5 = 9 times 5 = 45
therefore x = 45
(10 pts) (a) (2 pts) What is the difference between an ordinary differential equation and an initial value problem? (b) (2 pts) What is the difference between a particular solution and a general solution? (c) (3 pts) Given an example of a second-order linear ODE and a second-order nonlinear ODE that is not in the text, Chapter 1. (d) (3 pts) Give an example of a nonlinear 4th-order ordinary differential equation.
Answer:
Step-by-step explanation:
(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.
(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.
(C) Example of a second order linear ODE:
M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)
The equation will be homogeneous if K(t)=0 and heterogeneous if [tex]K(t)\neq 0[/tex]
Example of a second order nonlinear ODE:
[tex]Y=-3K(Y){2}[/tex]
(D) Example of a nonlinear fourth order ODE:
[tex]K^4(x) - \beta f [x, k(x)] = 0[/tex]
-32>-5+9x soLve for x
Answer:
-3>x
Step-by-step explanation:
Rearrange the equation
1. Move - 5 onto the other side with - 32.
2. - 32 + 5 > 9x now because 5 was moved to the other side so the sign has changed.
3. - 27>9x, move 9 to the other side
4. - 27/9>X DIVIDE 27 by 9
5. - 3>X
Answer:
-4 ≥ x or 3>x
Step-by-step explanation:
Find the average rate of change from 1 to 6
Let f(x)=8x-3
Answer:
8
Step-by-step explanation:
To find the average rate of change we use the function
[tex]f(x) = \frac{f(b) - f(a)}{b - a} \\ f(x) = \frac{f(6) - f(1)}{6 - 1} \\ \frac{(8(6) - 3) - (8(1) - 3)}{5} \\ \frac{48 - 3 - (8 - 3)}{5} \\ \frac{45 - 5}{5} \\ \frac{40}{5} \\ 8
[/tex]
Cassidy is researching the impacts of eating breakfast on college students who have classes prior to 9 am. To do this, she issued a Likert scale questionnaire to the students, with a scale of 1 through 10 to answer a series of 20 questions. What is the type of measurement scale
Answer:
Interval scale
Step-by-step explanation:
In statistics, there are 4 types of measurement scales namely;
Nominal scales, interval scales, Ordinal scales and Ratio scales.
Now, in this question Cassidy is trying to research the impacts of eating breakfast on college students who have classes prior to 9 am.
This has to do with order as it deals with people who have breakfast before 9 a.m. It also deals with the exact differences in the various answers on the scale of 1 - 10 for each student student in the research for the 20 questions.
This is exactly what the interval measurement scale is all about interval scale deals with order and exact differences in values.
Thus, the scale used is an interval scale.
6x+14y=28 in slope incerpt form?
Answer:
y = -2/7x + 2
Step-by-step explanation:
If we rewrite 6x+14y=28 into slope intercept form, it becomes 14y = -6x +28. When we divide the whole thing by 14 to get a singular y, -6x becomes -2/7x since 6/14 = 2/7, and 28 becomes 2.
Peter bought 8 lemons for $6dollar sign, Each lemon was the same price.
Answer: Each lemon costs 75 cents
Step-by-step explanation:
If you divide 8 from 6 then the answer is .75 and that is your answer.
[4 marks
c) log2X, log2 (X + 9), and log2 (x + 45) are three consecutive terms of an arithmetic
progression
i)
ii)
Find X
Find the 5th term as a single logarithm.
lanice
Answer:
1. x = 3
2. The 5th term = Log₂768.
Step-by-step explanation:
From the question given above, the following data were obtained:
Log₂x, Log₂(x + 9, Log₂(x + 45)
x =?
5th term (T₅) =.?
1. Determination of the value of x.
We shall determine the value of x as follow:
First term = Log₂x
2nd term = Log₂(x + 9)
3rd term = Log₂(x + 45)
Common difference = 2nd term – first term = 3rd term – 2nd term
Log₂(x + 9) – Log₂x = Log₂(x + 45) – Log₂(x + 9)
Recall
Log M – Log N = Log (M/N)
Therefore,
Log₂(x + 9) – Log₂x = Log₂(x + 9)/x
Log₂(x + 45) – Log₂(x + 9) = Log₂(x + 45) /(x + 9)
Thus:
Log₂(x + 9) – Log₂x = Log₂(x + 45) – Log₂(x + 9)
Log₂(x + 9)/x = Log₂(x + 45)/(x + 9)
Cancel Log₂ from both side
(x + 9)/x = (x + 45)/(x + 9)
Cross multiply
(x + 9)(x + 9) = x(x + 45)
x² + 9x + 9x + 81 = x² + 45x
x² + 18x + 81 = x² + 45x
Rearrange
x² – x² + 81 = 45x – 18x
81 = 27x
Divide both side by 27
x = 81/27
x = 3
Therefore, the value of x is 3.
2. Determination of the 5th term.
We'll begin by calculating the common difference (d)
x = 3
First term = Log₂x
First term = Log₂3
2nd term = Log₂(x + 9)
2nd term = Log₂(3 + 9)
2nd term = Log₂12
Common difference (d) = 2nd term – first term
Common difference (d) = Log₂12 – Log₂3
= Log₂(12/3)
Common difference (d) = Log₂4
Finally, we shall determine the 5th term as follow:
First term (a) = Log₂3
Common difference (d) = Log₂4
5th term (T₅) =.?
T₅ = a + 4d
T₅ = Log₂3 + 4Log₂4
Recall:
nLogM = LogMⁿ
Therefore,
4Log₂4 = Log₂4⁴ = Log₂256
T₅ = Log₂3 + 4Log₂4
T₅ = Log₂3 + Log₂256
Recall:
Log M + Log N = Log (M×N)
Thus,
T₅ = Log₂3 + Log₂256
T₅ = Log₂(3 × 256)
T₅ = Log₂768
Therefore, the 5th term is Log₂768
Integer expression
-20-55-2-5-1-27
-20-55=-75-5=-80
-80-2=-82-1=-83
-83-27=-110
hope it helps!
What is x( -3 -x) equal to?
Answer:
-3x-x^2
Step-by-step explanation:
an oil company fills 1/12 of a tank in 1/4 hour with gasoline at this rate which expression can be used to determine how long it will take for the tank to fill completely
Answer:
1/4 * 12
Step-by-step explanation:
It takes 1/4 hour to fill 1/12
It has to do this 12 times to be full
so 1/4 hour times 12
Answer:
An oil company fills of a tank in hour with gasoline. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)
Question 10 options:
1)
⋅
2)
⋅ 4
3)
⋅ 12
4)
12 ⋅ 4
Step-by-step explanation:
Which table represents the same relation as the set StartSet (negative 6, 4), (negative 4, 0), (negative 3, 2), (negative 1, 2) EndSet?
Answer:
Graph b
Step-by-step explanation:
ED2020
Zoe buys a new car for $26,750. If that price includes a 7% sales tax, what is the price of
the car before taxes?
Answer:
24877.5
Step-by-step explanation:
%7 of 26,750 is 1,872.5
Subtract: 26,750 - 1,872.5
Then the answer is 24877.5
How to check if a number is a power of another number?
Answer:
If x^n = y, then y is a power of x
Step-by-step explanation:
Take two numbers, x & y
To check whether, y is a a power of x
By hit & trial method, calculate x^n (approximately considered to near y). Try for many such no.s
If at any value x^n = y, then y is a power of x
Ex : Let x = 5, y = 625
By hit & trial, n = 3 or 4,
5^3 = 125 , 5^4 = 625
So, 625 is a power of x
How does the precision of linear measurements affect calculated measurement?
Answer:
Find the difference (subtract) between the accepted value and the experimental value, then divide by the accepted value. To determine if a value is precise find the average of your data, then subtract each measurement from it.
Step-by-step explanation:
Please help me thanks!
Answer:
1278.8 ft^3
Step-by-step explanation:
radius of cylinder = r = 5.8 ft
height of cylinder = h = 8.9 ft
radius of cone = r = 5.8 ft
height of cone = H - h = 18.5 ft - 8.9 ft = 9.6 ft
volume = volume of cylinder + volume of cone
V = (pi)(r^2)h + (1/3)(pi)(r^2)(H - h)
V = (3.14159)(5.8^2 ft^2)(8.9 ft) + (1/3)(3.14159)(5.8^2 ft^2)(9.6 ft)
V = 1278.8 ft^3
Answer:
If you use 3.14 for pi
1278.1 ft^2
Using the pi button on the calculator
1278.8 ft^2
Step-by-step explanation:
First find the volume of the cylinder
V = pi r^2 h where r is the radius and h is the height of the cylinder
V = pi ( 5.8) ^2 ( 8.9)
V = pi *33.64 * 8.9
V = 299.396 pi
The find the volume of the cone
V= 1/3 pi r^2h
The height of the cone is 18.5- 8.9 =9.6
V= 1/3 ( pi ) ( 5.8)^2 ( 9.6)
V= 1/3 ( pi ) 33.64 ( 9.6)
V = 107.648 pi
Add the two volumes together
299.396 pi + 107.648 pi
407.044 pi
If you use 3.14 for pi
1278.11816 ft^2
Rounding to the nearest tenth
1278.1 ft^2
Using the pi button on the calculator
1278.76644
Rounding to the nearest tenth
1278.8 ft^2
6 divided by 2 (1+2) = ?
Answer:
6/2 (1+2) = 9
Step-by-step explanation:
6/2 (1+2)
Order of operations PEMDAS
Parentheses first 6/2(3)
Multiplication and division go left to right
3(3)=9
Answer:6÷2(1+2)×3
Step-by-step explanation:
There are 34 people in a restaurant. Four groups of 3 people leave, and then
5 groups of 2 people arrive. Evaluate the expression 34 4 3 5 2 −•+• to
determine how many people are in the restaurant.
Answer:
22 people
Step-by-step explanation:
If 4 groups of 3 people leave, multiply:
4 x 3 = 12
5 groups of 2 people leave, multiply:
5 x 2 = 10
Now add:
12 + 10 = 22 people that left the restaurant.
Good luck, hope this helped!
Simplify. (32+1)×2 Enter your answer in the box.