if ON=7x-5, LM= 6x+3, NM =x-4, and OL =2y+5, find the value of x and y given that LMNO is a parallelogram

Answers

Answer 1

Answer:

x=8, y=-1/2

Step-by-step explanation:

parallelogram's opposite sides are equal.

LM=ON, NM=OL

6x+3=7x-5, solve for x, x=8

x-4=2y+5

y=-1/2


Related Questions

In triunghiul ABC ,A este de 75 grade si B este de 45 grade. Daca AD perpendicular BC, D apartine BC si BE perpendicular AC, E apartine AC iar AB=12 Radical din 6 cm calculati lungimile AD si BE si Perimetrul ABC

Answers

Answer:

just start scamming

Step-by-step explanation:

Solve. |7x-20|=|2x+20|

Answers

To solve the equation |7x - 20| = |2x + 20|, we need to consider two cases based on the absolute values.

Case 1: (7x - 20) = (2x + 20)

Simplifying this equation, we get:

7x - 20 = 2x + 20

Subtracting 2x from both sides:

5x - 20 = 20

Adding 20 to both sides:

5x = 40

Dividing both sides by 5:

x = 8

Case 2: (7x - 20) = -(2x + 20)

Simplifying this equation, we get:

7x - 20 = -2x - 20

Adding 2x to both sides:

9x - 20 = -20

Adding 20 to both sides:

9x = 0

Dividing both sides by 9:

x = 0

Therefore, the solutions to the equation |7x - 20| = |2x + 20| are x = 8 and x = 0.

Determine which set of sides measurements could be used of form a right triangle 14,5,15 3,4,5 9,14,16 5,2,7

Answers

Answer: 14,5,15 is correct

Step-by-step explanation:

Assessment
What is a brokerage account?
A. An online account used to pay expenses.
B. A deposit account at a financial institution that allows
withdrawals and deposits.
C. An interest-paying deposit account at a financial
institution that provides a modest interest rate.
D. An account used to buy investments like stocks, bonds,
and mutual funds.
5/10

Answers

Answer:

Step-by-step explanation:

A brokerage account is an investment account that allows you to buy and sell a variety of investments, such as stocks, bonds, mutual funds, and ETFs.

Therefore the answer is D

Tres engranajes tangentes entre sí, cuyos radios miden 15, 16 y 17 cm, deben ser sostenidos por
una base triangular que tiene por vértices los centros de cada engranaje. Hallar los ángulos
interiores del triángulo y expresarlos según el sistema de medición radial.

Answers

Para resolver este problema, podemos utilizar el Teorema de los Cosenos para calcular los ángulos interiores del triángulo.

Sea A, B y C los vértices del triángulo correspondientes a los centros de los engranajes. Sea a, b y c las longitudes de los lados opuestos a los ángulos A, B y C respectivamente.

Dado que los radios de los engranajes miden 15 cm, 16 cm y 17 cm, podemos considerar que los lados del triángulo son a = 15 cm, b = 16 cm y c = 17 cm.

El Teorema de los Cosenos establece que en un triángulo con lados a, b y c, y ángulos opuestos A, B y C respectivamente, se cumple la siguiente fórmula:

c^2 = a^2 + b^2 - 2ab * cos(C)

Podemos aplicar esta fórmula para cada uno de los ángulos del triángulo.

Para el ángulo A, tenemos:

c^2 = b^2 + a^2 - 2ab * cos(A)

17^2 = 16^2 + 15^2 - 2 * 16 * 15 * cos(A)

Resolviendo la ecuación, encontramos que cos(A) = -1/8. Tomando el coseno inverso (arcocoseno), encontramos que el ángulo A es aproximadamente 135.2 grados en el sistema de medición radial.

Para el ángulo B, tenemos:

a^2 = c^2 + b^2 - 2cb * cos(B)

15^2 = 17^2 + 16^2 - 2 * 17 * 16 * cos(B)

Resolviendo la ecuación, encontramos que cos(B) = -7/17. Tomando el coseno inverso, encontramos que el ángulo B es aproximadamente 120.6 grados en el sistema de medición radial.

Para el ángulo C, tenemos:

b^2 = a^2 + c^2 - 2ac * cos(C)

16^2 = 15^2 + 17^2 - 2 * 15 * 17 * cos(C)

Resolviendo la ecuación, encontramos que cos(C) = -1/2. Tomando el coseno inverso, encontramos que el ángulo C es aproximadamente 120 grados en el sistema de medición radial.

Entonces, los ángulos interiores del triángulo son:

A ≈ 135.2 grados

B ≈ 120.6 grados

C ≈ 120 grados

Estos valores están expresados en el sistema de medición radial.

Instructions: Find the missing probability.

P(B)=1/2P(A|B)=11/25P(AandB)=

Answers

We can use the formula:

P(A and B) = P(B) x P(A|B)

We are given:

P(B) = 1/2

P(A|B) = 11/25

Substituting these values into the formula, we get:

P(A and B) = (1/2) x (11/25) = 11/50

Therefore, P(A and B) = 11/50.

A triangle has sides with lengths of 13 meters, 18 meters, and 8 meters. Is it a right triangle?

Answers

Answer:

The Pythagorean Theorem describes the relationship among the three sides of a right triangle

[tex]a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18[/tex]--> not a right triangle

Byron worked fewer than 20 days last month. Write an inequality for d, the number of days Byron worked last month.

Answers

Answer:

[tex]d < 20[/tex]

Step-by-step explanation:

The key words in this question are fewer than, which signifies the less than sign. So, the number of days that Byron worked is less than 20.

Can you guys help me with this please

Answers

Step-by-step explanation:

Using rules of logs :

9 loga x =  loga x^9

Then using another rule:

loga x^9 + loga y =   loga (x^9 * y )

13. Lindsay was going to visit her grandmother, shop at the mall, and then return home. The route she took was in the shape of a triangle. The distance between each place she visited was 10 miles. What type of triangle is formed by the route she traveled? Explain. answer please answer that question ​

Answers

The answer is equilateral triangle as the distance between all three places is same

Which best describes the solution set for the compound inequality below?

2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7

no solution
x = 1
all real numbers except x = 1
all real numbers

Answers

The statement that best describes the solution to the inequality in this problem is given as follows:

all real numbers except x = 1.

How to solve the inequality?

The inequality in the context of this problem is defined as follows:

2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7

The solution to the first inequality is given as follows:

2(x + 7) – 1 > 15

2x + 14 > 16

2x > 2

x > 1.

The solution to the second inequality is given as follows:

3(x + 2) < 2x + 7

3x + 6 < 2x + 7

x < 1.

The or operation includes the elements that belong to the solution set of at least one of the inequalities, hence the solution is given as follows:

all real numbers except x = 1.

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(x+3)(x+7)=0

Problem answered, solution and why!

Answers

Answer:

the solution set is { - 7, - 3 }

Step-by-step explanation:

(x + 3)(x + 7) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ( subtract 3 from both sides )

x = - 3

x + 7 = 0 ( subtract 7 from both sides )

x = - 7

solution set is { - 7, - 3 }

find the perimeter of a triangle where one side is 2 inches, one side is 6 inches and another side is 10 inches.
(a) 2in.
(b) 9in.
(c) 36in.
(d) 18in.​

Answers

Answer:

(d) 18 in.

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P is the perimeter,and s1, s2, and s3 are the three sides:

P = 2 + 6 + 10

P = 8 + 10

P = 18

Thus, the perimeter of the triangle is 18 in.

If ΔABC is dilated from point A by a scale factor of one half, which of the following equations is true about segment D prime E prime?

segment D prime E prime = one half segment DE
segment D prime E prime = two segment DE
segment D prime E prime = segment DE
segment D prime E prime = three segment DE

Answers

An equation that is true about segment D prime E prime include the following: A. segment D prime E prime = one half segment DE

What is a dilation?

In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.

In this scenario and exercise, we would dilate the coordinates of the vertices of triangle ABC (ΔABC) by applying a scale factor of 1/2 that is centered at point A as follows:

D'E' = 1/2 × DE

In conclusion, line segment D'E' is equal to one half line segment DE.

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Please help find the x.

Answers

Answer:

The answer is 64°

Step-by-step explanation:

opposite angles are equal

x=64°

Answer:

X is 64 degrees.

Step-by-step explanation:

X is directly across from 64 degrees. These angles are equal. So are angle y and 18, and angle z and the blank angle at the bottom.

Here is a map of an island with cities A, B and C Jeremy drives

Answers

1) The three figure bearing of B from A when B is due East of A is 090°

2) Note that Kenzi drives 60km further than Jafar.

What is bearing?

A) A bearing is the angle in degrees measured clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.

Hence in the above case of option A,  The three figure bearing of B from A when B is due East of A is 090°

B) To find or compute how much further Kenzi drives than Jafar, we need to convert the distances on the map to their real-world distances using the given scale of 1cm to 200km.

So  A to B for Jafar -

Distance from A to B = 2.4cm x 200km/ cm = 480km

Then for  B to C for Kenzi  -

Distance from B to C = (1.2cm + 1.5cm) x 200km/cm

= 2.7cm x 200km/cm

= 540km

So to  determine how much further Kenzi drives compared to Jafar

Kenzi drives 540km - Distance from A to B

= 540km - 480 km = 60km

Therefore, Kenzi drives 60km further than Jafar.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Suppose that a safety deposit box at your bank costs $45/month to rent. How much would
it cost for you to rent the box for 15 years?

Answers

Answer: 8100

Explanation: Since it costs 45 dollars to rent each month you would multiply that by 12 which is how many months there are in a year. After calculating that you would get 540 dollars. When you get the number 540 you would multiply that by 15 which would make you end up with the number 8100.

Be sure to round the mileage to nearest whole mile

Answers

The miles you drive must be greater than or equal to 183 miles in order for Plan B to save you money.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the intercept.

For the mileages, we have that:

The slope is the cost per mile.The intercept is the daily cost.

Hence the functions are given as follows:

Plan A: A(x) = 30 + 0.14x.Plan B: B(x) = 50.

Cost B is the better plan when:

A(x) > B(x)

Hence:

30 + 0.14x > 50

0.14x > 20

x > 20/0.14

x > 142.9 miles -> rounded to 143.

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Please help me understand this problem!

Answers

The requried solution of the given derivative has been given below.

If F(t) is an antiderivative of t⁵, then we have:

F'(t) = d/dt(F(t)) = t⁵

According to the Second Fundamental Theorem of Calculus, we have:

[tex]\int_1^x t^5 dt = F(x) - F(1)[/tex]

Using this formula, we can find [tex]d/dx(\int_1^x t^5 dt)[/tex] as follows:

[tex]d/dx(\int_1^x t^5 dt) = d/dx(F(x) - F(1)) = F'(x) - 0 = t^5[/tex]

Therefore, [tex]d/dx(\int_1^x t^5 dt) = t^5.[/tex]

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There are 1000 students at a college. In January, æ of these students had passed
their driving test.
Between January and April, the number of students who had passed their driving
test increased by 20%, and the number of students who had not passed
decreased by 5%. No one left or joined the college during this time.
a) Explain why the number of students who had not passed their driving test yet
was 0.95(1000 - x) in April.
b) Hence explain why 1.2x +0.95(1000-x) = 1000.
c) How many students had passed their driving test in January?

Answers

a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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what is the probability of spinning a blue, then green

Answers

The probability of getting Blue then Green while spinning the wheel is

3 / 32

Probability is a branch of mathematics that helps us to understand the likelihood of an event occurring. It is represented by a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probability can be used to make predictions and informed decisions in real-world situations.

From the given figure we can find out the following information

The probability of getting Blue While spinning the wheel = 3/8

The probability of getting Green While spinning the Wheel = 2 / 8

The probability of getting Blue then Green while spinning the wheel

= 3/8 * 2/8

= 6/64

= 3/32

Therefore, probability of getting Blue then Green while spinning the wheel is 3 / 32

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If the equation is an identity

Answers

The equation is an identity is discussed below.

An identity is a mathematical equation that holds true for all values of the variables involved.

In other words, it is true regardless of the specific values of the variables. When an equation is an identity, it means that both sides of the equation are equivalent and represent the same mathematical relationship.

For example, the equation 2x + 3 = 2(x + 1) is an identity because it holds true for all values of x.

When an equation is an identity, it provides a general statement or rule that is universally applicable and does not depend on specific values or conditions. Identifying an equation as an identity is important because it allows us to make general conclusions and deductions that apply in all cases.

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If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?

Answers

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

What is the probability of getting two heads?

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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There is a multiple choice quiz with six questions and five possible answers and only one choice is correct what is the probability you get your first and only incorrect answer on the fourth question?n

Answers

Answer:1/1875

Step-by-step explanation:

the probability of getting any one question correct is 1/5, and the probability of getting any one question incorrect is 4/5.

The probability of getting the first three questions correct and the fourth question incorrect can be calculated as follows:

(1/5) * (1/5) * (1/5) * (4/5) = 4/3125

Since there are six possible positions for the incorrect answer to occur (first, second, third, fourth, fifth, or sixth), the probability of getting the first and only incorrect answer on the fourth question is 4/3125 * 1/6 = 1/1875.

work out length x in the triangle below
if your answer is a decimal, give it to 1 d.p.

Answers

The length x in the triangle below is 16 m.

What is length?

Length is the distance between two points.

To calculate the length of the triangle, we use the formula below

Formula:

A = absin∅/2...................... Equation 1

Where:

A = Area of the triangle∅ = Included angle of the triangle

From the question,

Given:

a = 15 mb = x∅ = 30°A = 60 m²

Substitute these values into equation 1 and solve for x

60 = (15×x)sin30°/2120 = 15x(1/2)15x = 240x = 240/15x = 16 m

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A circle with circumference 72π is divided into 10 congruent sectors. Find the area of two sectors. Round to the nearest tenth

Answers



Answer

62.8cm squared……………

Help me please! I’m really struggling on how to do this

Answers

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

PLS HELP! In the figure below, m angle SUT=123 and m arc PR= 124 . Find m arc ST.

Answers

The measure of the arc of the circle is mST = 122°

Given data ,

Let the circle be represented as C

where the two chords of the circle are RT and PS

And the chords RT and PS intersect at the point U

Now , when two chords intersect inside a circle, four angles are formed. At the point of intersection, two sets of congruent vertical angles are formed in the corners of the X that appears.

On simplifying , we get

m∠SUT = ( 1/2 ) ( mPR + mST )

123° = ( 1/2 ) ( 124° + mST )

On solving for mST , we get

( 124° + mST ) = 246°

Subtracting 124° on both sides , we get

mST = 122°

Hence , the measure of arc mST = 122°

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Pablo mixed 2 1/2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?
A. 20
B. 26
C. 32
D. 36

Answers

The answer is b. For the question

Eight fourths is proportional to what value?

Answers

Eight fourths is proportional to the value of 2/1

What is proportionality of values?

Proportionality of values means the relationship that exists between two variables where their ratios are equivalent to each other.

A ratio that is made up of two variables is said to be proportional to another ratio when after being simplified one arrives at the same ratio.

Using the 8:4 or 8/4. This is equivalent to 2/1 and also equivalent to 16/8 as the simplification leads to 2/1

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