6. If ON = x^2 - 10, LM = -2x + 5, NM = 3x + 21 and OL = 4y + 18, find the values of x and y
given that LMNO is a parallelogram.
(show work)
Answers
Given that ON = [tex]x^{2}[/tex] - 10; LM = -2x + 5; NM = 3x + 21; and OL = 4y + 18; with x and y values of [tex]\sqrt{10}[/tex] and -4.5, respectively.
What is the values of x and y ?ON = [tex]x^{2}[/tex] - 10 ⇒ [tex]x^2[/tex] = 10 ⇒ x =[tex]\sqrt{10}[/tex]
OL = 4y + 18 ⇒ 4y =-18 ⇒ y = -18/4 ⇒ -4.5 .
The issue at hand is here A parallelogram of O N M L is nm. Suppose ON = [tex]x^{2}[/tex] - 10 or LM = -2x + 5. Here, we must determine what X's value is. then look up N M N O L. Due to the parallelogram shape of ONA male, there are four.
Since N M is equal to the opposing sides of a parallelogram and an e parallelogram, we can express that as follows. due to the parallelogram's equal opposite sides. We can therefore write [tex]x^{2}[/tex] - 10 where N M = O L. that is four, -2x + 5, and. Change the two sides of the equation, then write four. Nine times X is equivalent to [tex]x^{2}[/tex] - 10.
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Related Questions
An art store manager buys easels for 10.20 each. He marks up the cost by 75% to get the selling price. What is the selling price of each easel
Answers
Answer:
17.85
Step-by-step explanation:
175% * 10.20 = 17.85
Cara randomly chose a date in the month of
June then a letter in the word MATHLETE.
What is the probability she got a date that is
a multiple of 5, followed by a vowel?
A. 13/48
B. 3/10
C. 5/24
D. 3/40
Answers
Answer: D. 3/40
Step-by-step explanation:
There is a 6/30 chance that Cara got a date that was a multiple of 5 since there are 6 multiples of 5 in a matter of the 30 days of June (5, 10, 15, 20, 25, 30). There is also a 3/8 chance that she will chose a vowel in the word MATHLETE since there are 3 vowels within these 8 letters (A, E, E). With this information, you must multiply the fractions of 6/30 and 3/8 together in order to find the probability of chosing both a multile of 5 as well as a vowel. This can be done by multiplying the numerators together and the denonimators together and then simplifying the fraction to receive an answer of 3/40.
Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed
Answers
Answer:
72 square unitsStep-by-step explanation:
Consider the figure as the difference of a trapezoid and a rectangle.
Area of the trapezoid:
a = 3 - (-2) = 5 unitsb = 9 - (-6) = 15 unitsh = 5 - (-5) = 10 unitsA = (a + b)h/2 = (5 + 15)(10)/2 = 100 square unitsArea of the rectangle:
l = 5 - (-2) = 7 unitsw = -1 - (-5) = 4 unitsA = lw = 4*7 = 28 square unitsArea of the figure:
100 - 28 = 72 square unitshow many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed
Answers
Answer:
To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:
Step-by-step explanation:
Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)
In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:
Number of permutations = 6 x 6 x 6 = 216
Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.
However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.
Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.
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What is the length of the line?
Choose 1 answer:
pls i suck when it comes to this
Answers
Step-by-step explanation:
You only Sent Options... Can't see no question there
sry not problem you sent options
Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost of each item.
Answers
Answer:
granola bar: $1.50yogurt: $0.50Step-by-step explanation:
You want the cost of each item when person A buys 10 granola bars and 6 cups of yogurt for $18, and person B buys 5 granola bars and 4 cups of yogurt for $9.50.
EquationsThe equations describing the relations can be written ...
10g +6y = 18 . . . . . . . person A's purchase
5g +4y = 9.50 . . . . . . person B's purchase
SolutionSubtracting half of the first equation from the second, we find ...
(5g +4y) -1/2(10g +6y) = (9.50) -1/2(18)
y = 0.50 . . . . . . . . . . simplify
Substituting this into the first equation gives ...
10g +6(0.50) = 18
10g = 15 . . . . . . . . . . subtract 3
g = 1.50 . . . . . . . . . divide by 10
Each granola bar costs $1.50; each cup of yogurt costs $0.50.
__
Additional comment
The attachment shows the solution found using a calculator to find the reduced row-echelon form of the augmented coefficient matrix. The variable values are in the right column of the reduced matrix. This tells us granola bars are $1.50, and yogurt cups are $0.50, as we found above.
Es una division el cociente es 14, el divisor 19, calcule el dividiendo si se sabe que el residuo resutó ser el maximo.
Answers
Answer:
266
Step-by-step explanation:
En Matemáticas, al realizar la operación de División, la regla es la siguiente:
Dividendo ÷ Divisor = Cociente
En la pregunta anterior, se nos da:
Divisor = 19
Cociente = 14
Dividendo =?
Para encontrar el dividendo,
Dividendo = Divisor × Cociente
Por eso,
Dividendo = 19 × 14
= 266
Por lo tanto, el Dividendo = 266
What is the perimeter of a 30 60 90 triangle whose shorter leg is 5 inches long?
Answers
The perimeter of the triangle is 23.66 inches
According to the 30-60-90 triangle theorem, the hypotenuse is twice as long as the shorter leg. Additionally, the sides of this particular triangle have a ratio of 1:2: [tex]\sqrt{3}[/tex].
Now in the question
As shown in the diagram, if the shorter leg of the triangle at 30°, 60°, and 90° is extended in the direction of the right angle by an amount equal to itself and connected to the third point, we obtain a triangle that is congruent with the original triangle. It is clear that the combined triangle is an equilateral triangle with equal sides and angles.
The greatest leg, AB, in the picture is therefore twice as long as the shortest leg of the original triangle and equal to base BC.
Therefore according to the question
given that the shorter leg is 5 inches,
hypotenuse = 5*2 = 10 inches.
the longest leg = 5[tex]\sqrt{3}[/tex], and
The perimeter is thus 5 + 10 + 5[tex]\sqrt{3}[/tex] = 15 + 5[tex]\sqrt{3}[/tex] = 23.66 inches
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4. Which of these is NOT involved in proving the converse of the Pythagorean theorem?
Ocollecting like terms and applying the distributive property
substitution and construction
congruent triangles
substitution and contradiction
Answers
The option that is not involved in proving the converse of the Pythagorean theorem is D. substitution and contradiction
What is a Pythagoras theoremA right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.
The converse of Pythagoras' Theorem states that a triangle must have a right angle if the square of one side equals the sum of the squares of the other two sides.
In this case, contradiction isn't involved. The correct option is D.
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Easton mixed 3/2kg of flour with 1/6 kg of sugar. Determine a reasonable estimate for the amount of flour and sugar combined
Answers
Answer:
10/6kg
Step-by-step explanation:
Given data
Amount of flour= 3/2kg
Amount of sugar= 1/6kg
The combined mixture is
=3/2+1/6
=9+1/6
=10/6kg
Hence the combined amount is 10/6kg
homework i need to do pls help
Answers
Answer:
1.
(a) 4y
(b) 5w
(c) 6a
(d) 3s
(e) 2n
(f) 3g
(g) 2y
(h) 0
2.
(a) -2u
(b) -w
(c) -3a
(d) -7y
3.
(a) 7a+3b
(b) 12y+4h
(c) 2g+10a
(d) 15m+10p
(e) 10e+4
(f) 12+5a
Step-by-step explanation:
Don't be intimidated by the "letter" variables. It is really just simple addition and subtraction. Examples:
For Q1=
y + y + y + y = 4y because there are 4 y's, and since we don't know the values of the y, this is the farthest we can simplify it.
For Q2=
4u - 6u = -2u. Since these two numbers have the same variable, this is just a simple subtraction problem. 4 - 6 = -2.
For Q3=
3a + 2b + 4a + b = 7a + 3b.
Look for the numbers with the same variable. 3a and 4a both have a's, so we add the two and get 7a. 2b and b (b is the same thing as 1b) both have b's, so we add them and would get 3b.
Therefore, the answer is 7a + 3b.
I hope this helped! Good luck with future endeavors!!
Step-by-step explanation:
attached the answers below, hope that helps...
If a rectangle with dimensions 14cm X 20cm is reduced by a scale factor of 2.5, what would be the measure of the new perimeter?
Answers
Answer:
27.2 cm
Step-by-step explanation:
14 cm / 2.5 = 5.6 cm, and
20 cm / 2.5 = 8 cm.
Then the new perimeter would be P = 2L + 2W, or, in this case:
P = 2(8 cm) + 2(5.6 cm) = 27.2 cm
please help quickly
If UY=13p-1 and VX=20p-95 than what is UY
Answers
Viewing the given triangle, the information given helped to determine side UY to be 90
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
WX and WY, XV and YU
The solution is worked out using sides WX and XV, WY and YU
WX / WY = XV / YU
WX / WY = 1/2 since it is a mid segment
1 / 2 = (20p - 95) / (13p - 1)
13p - 1 = 2 * (20p - 95)
13p - 1 = 40p - 190
190 - 1 = 40p - 13p
189 = 27p
p = 7
solving for UY
= 13p - 1
= 13 * 7 - 1
= 90
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solve for x when c-b=1
Answers
Answer:
you need to give the question
Step-by-step explanation:
there is no question
in a trivia game, you lose point for wrong answers. You answer the first 5 questions incorrectly. Your score after the 5 questions is -90. How many points is each incorrect answer worth?
Answers
what 9/2-11/4 plz help i only have 10 mins till due
Answers
Answer:
7/4
Step-by-step explanation:
9/2 - 11/4
Get a common denominator of 4
9/2 *2/2 - 11/4
18/4 - 11/4
7/4
Answer:
The answer is 7/4
Step-by-step explanation:
9/2 - 11/4
Here, we will Cross Multiply
9/2 - 11/4
9 × 4 - 11 × 2 ÷ 4 × 2
36 - 22 ÷ 8
14 ÷ 8 = 7/4
Thus, The answer is 7/4
-TheUnknownScientist
x-3y less than or equal to 18
Answers
We're given too less information with this problem. we would need to know what the variables X and Y represent. The value of the equation is unknown.
HELP ME PLEASE!!
PLEASE
Answers
Pls help and round to the nearest 0.01
Answers
Answer:
Step-by-step explanation:
SA for a sphere = 4pi(radius)^2
V for a sphere = 4/3pi(radius)^3
A golf ball is a sphere and its radiusm is 1.68/2 = 0.84 in.
So SA = 4pi(0.84)^2 = 8.87 in^2
V = 4/3pi(0.84)^3 = 2.48 in^3
Find the length of side x in simplest radical form with a rational denominator.
45°
X
V6
Answers
Answer:
x = 6
Step-by-step explanation:
What is included in an individual's personal assets 3 options?
Answers
Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.
Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.
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1. Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).
2. Find the reflection of the point A(3, -2) through the mirror line of y = 1/2x − 1.
Answers
slope = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points into the formula gives:
slope = (-1 - 4) / (-1 - 5) = -5 / -6 = 5/6
To find the equation of the mirror line, you can use the slope of the line segment and the midpoint of the line segment. The midpoint is calculated using the formula:
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of the two points into the formula gives:
midpoint = ((5 + -1) / 2, (4 + -1) / 2) = (2, 1.5)
The equation of the mirror line is perpendicular to the line segment, so its slope is the negative reciprocal of the slope of the line segment. The negative reciprocal of 5/6 is -6/5. To find the equation of the mirror line, you can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. Substituting the slope and midpoint into the equation gives:
y = (-6/5)x + b
Substituting the y-coordinate of the midpoint (1.5) for y gives:
1.5 = (-6/5) * 2 + b
3 = -6 + 5b
9 = 5b
b = 1.8
Therefore, the equation of the mirror line is y = (-6/5)x +
Write the expression. Then, check all that apply.
six times the sum of nine and a number
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries six, times, the sum of, nine, a number. Column 2 is labeled Replace with entries 6, times, (+), 9, n.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The constants are 6 and 9.
The expression is written as 6n + 9.
The expression is written as 6(9 + n).
Answers
Answer:
A , B , D , F
Step-by-step explanation:
Answer:
a. Replace "a number" with the variable, n.
b. The two operations are multiplication and addition.
d. The constants are 6 and 9.
f. The expression is written as 6(9 + n).
Step-by-step explanation:
The diagram shows a circle inside a square.
16 cm
Work out the area of the circle.
Answers
Answer:
200.96cm^2
Step-by-step explanation:
the circle's diameter is 16cm --> the radius is 8cm
the area of the circle is 8^2 x 3.14 = 200.96 cm^2
(m² - 7m - 11) ÷ (m-8)
By diving polynomials
Answers
Explanation: First, we need to rewrite the division problem in the form dividend ÷ divisor, We want to divide a polynomial by a binomial, so we should first identify the value of the coefficient in the binomial. As we can see, equals . Let’s write it to the left of a vertical bar.
A line is drawn through (-4, 3) and (4,3). Which describes whether or not the line represents a direct variation?
The line represents a direct variation because - -
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because 4(3) = 4(3).
Answers
Answer:
The line does not represent a direct variation because it does not go through the origin.
[tex](4x-3)=(6x+13)[/tex]
Answers
Answer:
x = -8
Step-by-step explanation:
4x - 3 = 6x + 13
+ 3 + 3
4x = 6x + 16
-6x -6x
-2x = 16
-2 / -2x = 16 / -2
x = -8
Ask if you wanted a different answer
Can a right triangle with sides 6 and 8 cm and 10 cm be formed give reason?
Answers
A right triangle is formed by the provided sides 6 cm, 10 cm, and 8 cm
Given that a triangle has sides measuring 6 cm, 10 cm, and 8 cm.
The question is whether a right triangle is formed by the specified sides.
The Pythagorean theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse.
Hypothesis 2 Equals Base 2 plus (Altitude)2
Make the hypotenuse 10 cm long.
Specify 6 cm for the base and 8 cm for the perpendicular.
(Hypotenuse)2 LHS (Hypotenuse)
RHS: (Base)2 + (Altitude)2 (Base)2 + (Altitude)2 = (6)2 + 2 = (10)2 = 100 (8)
LHS = RHS: 2 = 36 + 64 = 100
The sides provided meet the requirements for a right triangle.
As a result, a right triangle is formed by the provided sides.
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Melanie bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 29 dollars. How much did each candy bar cost? What is the equation for the problem?
Answers
Answer: Each candy bar cost's $5
Step-by-step explanation:
Equation is 4+ 5x=29
-4 -4 which makes it
5x= 25 then you divide by 5
which makes it x=5 so it costs 5 $ per candy bar
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jessica took out a loan from the bank at a simple interest rate of 4%. After making payments for three years, she paid a total of $840 in interest. What was the principal, or original amount of money, of Jessica’s loan?
$___
Answers
Answer:
$7000
Step-by-step explanation:
1. Approach
To solve this problem, one must first find the amount of interest paid in (1) year, then set up a proportion to find out the amount of money that was taken out in the loan. It is given that the interest rate is (4%), and the interest paid after (3) years is ($840).
2.Find the amount paid in 1 year
First, one must find the interest paid in (1) year, this can be done by dividing the interest paid in (3) years by (3).
840 ÷ 3 = 280
3.Find the original amount in the loan
Now set up the proportion, remember, the general format for a proportion is the following,
[tex]\frac{part}{whole}=\frac{percent}{100}[/tex]
Substitute in the given parameters,
[tex]\frac{intereset}{loan}=\frac{rate}{100}[/tex]
Substitute in the values of the parameters,
[tex]\frac{280}{loan}=\frac{4}{100}[/tex]
Cross products,
[tex]28000=4(loan)[/tex]
Inverse operations,
[tex]7000=loan[/tex]