In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?

In The Diagram, Angle OLM Is Twice As Large As Angle PON. What Is The Size Of Angle OLM?

Answers

Answer 1

Answer:

112°

Step-by-step explanation:

∠OLM= 2x, ∠PON= x

∠LOK= x

∠OKL= 180-124= 56

∠OLM= ∠OKL+∠LOK

x+56°= 2x

x= 56°

2x= 112°


Related Questions

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.


Answers

Answer:

[tex]x\geq 29,000[/tex] and [tex]x\leq 41,000[/tex]

Step-by-step explanation:

Let x be the altitude of a commercial aircraft

=>The expression " A minimum altitude of 29,000 feet" is equal to

[tex]x\geq 29,000[/tex]

All real numbers greater than or equal to 29,000 ft

=>The expression " A maximum altitude of 41,000 feet" is equal to [tex]x\leq 41,000[/tex]

All real numbers less than or equal to 41,000 ft

therefore, The compound inequality is equal to

[tex]x\geq 29,000[/tex] and [tex]x\leq 41,000[/tex]

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval [29,000,41,000]

If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, it passes through point ___?___.
A. (-4, 6)
B. (4, 6)
C. (2, 6)
D. (2, -6)

Answers

Answer:

The answer is B. (4,6)

(4 - 2)2 + (6 - 6)2 = 4

2(2) + 0(2) = 4

4 + 0 = 4

What is the following product? square root of 10 times square root of 10

Answers

Answer: 10

Step-by-step explanation:

√10 x √10

When a square root of an expression is multiplied by itself, the result is that expression...

10

Please help :( I don’t know this one:/

Answers

Answer:

i think is D

Step-by-step explanation:

because 2×7=21

3×21=63

and the parent still going

Answer:

its d

Step-by-step explanation:

its d cuz if you multiply 2 × 7 it will equal to 21

and then when you multily  them both youll

get 63   3×21=63

Reduce la siguiente expresión algebraica: -3x +4 -x +1=
3a -3b +a +b=
-6 +3a -5b +1 +2a -b=
-6 +3a -5b +1 +2a -b=
3a -b -7a -3 -b +1=

Necesito que me reduzcan las expresiones algebraicas

Answers

-3x +4 -x +1 =  5 - 4x

3a -3b +a +b =  4a - 2b

-6 +3a -5b +1 +2a -b =  5a -6b -5

3a -b -7a -3 -b +1= -2b -4a -2

Hope this helps ^-^

"Simplify: i) -2 + ( 3 / 8 ) + ( - 1 / 5 ) ii) (2/3) + ( -7/11) + (-1/4 ) pls say fast

Answers

Answer:

[tex]\frac{-73}{40}[/tex]

[tex]\frac{-29}{132}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{1}+\frac{3}{8}-\frac{1}{5}[/tex]

[tex]-\frac{80}{40}+\frac{15}{40}-\frac{8}{40}[/tex]

[tex]\frac{-80+15-8}{40}[/tex]

[tex]\frac{-73}{40}[/tex]

[tex]\frac{2}{3}-\frac{7}{11}-\frac{1}{4}[/tex]

[tex]\frac{88}{132}-\frac{84}{132}-\frac{33}{132}[/tex]

[tex]\frac{88-84-33}{132}[/tex]

[tex]\frac{-29}{132}[/tex]

Answer:

-1 33/40

- 29/132

Step-by-step explanation:

i) -2 + ( 3 / 8 ) + ( - 1 / 5 ) = -2 + 3/8 - 1/5=

- 2 + 15/40- 8/40=  -2 + 7/40= -1 33/40

ii) (2/3) + ( -7/11) + (-1/4 ) = 2/3 - 7/11 - 1/4=

2/3 - (28+11)/44=  2/3 - 39/44=  (2*44- 3*39) /3*44= - 29/132

The Math Club is ordering food to be delivered to their meeting. They have a coupon for $10 off their order, and each member contributes an additional $5 for the food. The expression 5n + 10 represents the total amount they can spend on their order. Why would it not make sense to substitute 12.125 for n in this expression? A n represents the number of members, so it must be a whole number. B 5n represents the number of members, so n must be a whole number. C n represents an amount of money, so it cannot have more than two decimal places. D 5n represents an amount of money, so n cannot have more than two decimal places.

Answers

Answer:

A. n represents the number of members, so it must be a whole number.

Step-by-step explanation:

Since 12.125 is a decimal, it would not make sense to substitute 12.125 for n in the expression. You cannot have 1/8 of a person. Since each member is contributing an additional $5, the expression will show n as the variable representing the number of members in the Math Club. Each member is giving 5, so 5n + 10, the 10 being the coupon they have for $10 off. This expression shows how much money the entire group has.

Answer:

A

Step-by-step explanation:

Describe the graph of y > mx, where m > 0. Plz wright it in your own words I do not want a "Sample Response" if it is I will not thank you and I will report you

Answers

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW?

Answers

Answer:

∠VRU = 80°

∠URW = 15°

Step-by-step explanation:

Given that,

∠TRV = ∠SRW ( vertical opposite angle)

2x + 15 = 85

2x = 70

x = 35

So,

∠VRU = 2x + 10

∠VRU = (2×35) + 10

∠VRU = 70 + 10

∠VRU = 80°

∠URW = 180 - ∠VRU - ∠SRW

∠URW = 180 - 85 - 80

∠URW = 15°

Answer:

80 and 15

Step-by-step explanation:

2x + 5y = 12
-2x + 3y = 4
In elimination method​

Answers

So just add equation 1 and equation 2
You will get
2x-2x + 5y + 3y = 12 + 4
8y = 16
y = 16/8
y = 2
Substituting y in equation 1
2x + 5*2 = 12
2x + 10 = 12
2x = 12 - 10
x = 2/2
x = 1
=

Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1

Answers

Answer:

y = e^x

Step-by-step explanation:

The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.

The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.

The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

1) 2a + a + 3b
2) 2a + 2b + a + 2b
3) 3a + 2c + 2a + c
4) a + 2b + 2a + b
5) 4a + b + 3a + b
6) 3a + 2c + 2c + a
7) 3d + 2c + d + 5c
8) a + 2b + a + 3b + b

Answers

Answer:

1) 3a + 3b

2) 3a + 4b

3) 5a +3c

4) 3a + 3b

5) 7a + 2b

6) 4a + 4c

7) 7c +4d

8) 2a + 6b

Step-by-step explanation:

1) 2a + a + 3b  = 3a + 3b

2) 2a + 2b + a + 2b  = 3a + 4b

3) 3a + 2c + 2a + c  = 5a +3c

4) a + 2b + 2a + b  = 3a + 3b

5) 4a + b + 3a + b  = 7a + 2b

6) 3a + 2c + 2c + a  = 4a + 4c

7) 3d + 2c + d + 5c  = 7c +4d

8) a + 2b + a + 3b + b = 2a + 6b

Dos tiendas diferentes ofrecen alquiler de motos mediante los siguientes avisos: MOTOCICLEANDO Paga S/. 35 por la moto que quieras y S/. 2 adicionales por cada kilómetro recorrido. MOTOMOTORS Paga S/.7 por la moto que quieras y S/.16 adicionales por cada kilómetro recorrido. Escribe la expresión que indique el costo del alquiler diario de una moto para una distancia de "x" km recorridos en: la tienda MOTOCICLEANDO:………………………….. la tienda MOTOMOTORS:……………………………… Ahora responde, ¿para qué distancias recorridas conviene alquilar en la tienda? Usa este espacio para escribir tu procedimiento.

Answers

Answer:

Las expresiones son:

Ya = 0,35 + 0,2*x

Yb = 0,7 + 0,16*x

Hasta 8,75 Km es preferible alquilar en MOTOCICLEANDO

De 8,75 (sin incluir) en adelante es preferible alquilar en MOTOMOTOR

Step-by-step explanation:

Llamáremos Ya  y Yb  los costos asociados al alquiler de motos en las tiendas MOTOCICLEANDO y MOTOMOTOR, respectivamente. Entonces, para un recorrido de "x" Km, las expresiones serán:

Ya = 0,35 + 0,2*x      y  Yb = 0,7 + 0,16*x

Puede observarse que estas expresiones se corresponden con la ecuación de una linea recta, en la cual los términos independientes           ( 0,35  y 0,7 ) son los inteceptos de las rectas con el eje y, en los términos que contienen x  (0,2*x   y  0,16*x ) los coeficientes de esos téminos son las pendientes de las respectivas rectas.

Dada la descripción anterior podemos concluir:

1.-Que las dos rectas se cruzan, antes del cruce los costos que se asocian a la recta de MOTOCICLEANDO son menores que los de la tienda MOTOMOTOR, y a partir de allí se invierte la relación.

Resolviendo tenemos:

0,35 + 0,2*x  =  0,7 + 0,16*x

0,2*x - 0,16*x = 0,7 - 0,35

0,04*x = 0,35

x = 0,35/0,04

x = 8,75 Km

Para el intervalo que finaliza a los 8,75 Km es mas económico alquilar en

MOTOCICLEANDO, para la distancia de 8,75 Km es igual y de allí en adelante es mejor alquilar en MOTOMOTOR

On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4. Write a mathematical statement that represents the situation and determine the price at the end of the week.

Answers

Answer:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

              = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

              = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

              = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

              = $37 - $4 = $33

Hence, the price at the end of the week is $33.

If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.

Answers

Answer:

It depends

Step-by-step explanation:

If you are given a right triangle, you use Pythagorean Theorem: a² + b² = c²

If you are given an angle but its not a right triangle, you can use either Law of Sines: [tex]\frac{A}{sin(a)} = \frac{B}{sin(B)} = \frac{C}{sin(C)}[/tex] or Law of Cosines: [tex]c^2 = a^2 + b^2 -2abcosC[/tex].

Answer:

Sample Response: Create and label a diagram. Then, using the Pythagorean theorem, substitute the values for corresponding variables into the theorem and solve by applying inverse operations.

Step-by-step explanation:

Edge 2021

find the value of x and z
please give correct answers
it's urgent​

Answers

Step-by-step explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

Can somebody help me with this ?? :)

Answers

Answer:

m∡BCA +m∡BCD = 180°

Step-by-step explanation:

Supplementary angles are 2 angles that give sum = 180°.

m∡BCA +m∡BCD = 180°


10. The diagram on the right shows the growth of a type of cell. nx4
It is given that on the first day, there are four cells. On the
second day, each cell produces three cells. On the following n
day, each new cell produces another three new cells. The
process of producing new cells repeats at the same rate.
(b)calculate the total number of cells on the fifth day​

Answers

i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(

At the beach, 20% of people are on the boardwalk and 23% are on the sand. If
the rest are in the water, what percentage of people are in the water?

Answers

Answer:

57%

Step-by-step explanation:

You need to find the percentage of people that are either on the boardwalk or the sand.  Do this by adding the two given percentages.

20% + 23% = 43%

Since the rest of the people are in the water, you can subtract the percentage found above (43%) by 100% to find the answer.

100% - 43% = 57%

The percentage of people in the water are 57%

Need help ASAP, thanks

Answers

Answer:

1364

Step-by-step explanation:

use the calculator

45/30 in its simplest form

Answers

Answer:

3/2

Step-by-step explanation:

45/30 can be simplified.

The highest common factor of 45 and 30 is 15.

45÷15/30÷15

Divide.

3/2

How many solutions exist for the given equation?

1/2(x + 12) = 4x - 1

Answers

Answer:

1 solution.

Step-by-step explanation:

1/2(x + 12) = 4x - 1

Expand the brackets.

1/2x + 6 = 4x - 1

Subtract 6 and 4x and both sides.

1/2x - 4x = -1 - 6

-7/2x = -7

Multiply -7/2 on both sides.

x = -7 × -2/7

x = 14/7

x = 2

when 200 apples are sold at Rs 1.50 each there will be rupees hundred loss how many apples should be sold for rupees 150 to gain rupees 100.​

Answers

Answer:

Step-by-step explanation:

Sales price of 200 apples = 300

At this price, there was loss of Rs. 100

Means the cost of the apples was

300 + 100 = Rs. 400

To earn Rs. 100, they should have been sold for Rs. 500

In the triangle below what is the length of AC?

A. 60
B. 14
C.90
D.28

Answers

Answer:

B 14

Step-by-step explanation:

All the angles of the triangle ABC are 60°.

Therefore it is an equilateral triangle.

All sides of an equilateral triangle are equal.

Hence, [tex] \overline{AC} = 14[/tex]

Without using your calculator, decide which of these is larger: log8 62 or log7 50. How confident are you of your answer? Explain your thinking.

Answers

Answer:

Step-by-step explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2  and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50

can someone help me with this please

Answers

Answer:

This triangle has two sides that are equal in length

Step-by-step explanation:

In an isosceles triangle, there are two base angles and one other angle. The two base angles are equal to each other. So say you have an isosceles triangle, where only two sides of that triangle are equal to each other. And then you have 36 degrees as one of your base angles.

The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the wall to be painted. PLEASE FAST

Answers

Answer:

Area of the wall to be painted = (11x² + 12x) square units

Step-by-step explanation:

The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.

From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).

Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression

(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]

Area of a rectangular figure = Length × Breadth

Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units

Area of window space = (2x) × (x) = (2x²) square units

Area of door space = (x) × (3x) = (3x²) square units

Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)

= 16x² + 12x - 5x²

= (11x² + 12x) square units

Hope this Helps!!!

A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.

Answers

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.

A line contains the points (8,9) and (-12, -7). Using point-slope form, write the equation of the line that is parallel to the given line
and that passes through (-5, -15).
A
4
B
3-15= ( 9
» +15= 3(+9
3+5= 3(+15)
»+15= 3(x+5)
C
D

Answers

Answer:

(y+15) = 4/5(x+5)

Step-by-step explanation:

slope = (-7 - 9)/(-12 - 8) = -16/-20 = 4/5

(y+15) = 4/5(x+5)

Which point gives the vertex of f(x) = x2 – 4x + 21? Question 1 options: (–2,–17) (2,17) (–2,17) (2,–17)

Answers

Answer:

[tex](2, 17)[/tex]

Step-by-step explanation:

A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]

In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]

where

[tex]a=1[/tex]

[tex]b=-4[/tex]

[tex]c=21[/tex]

the vertex of a parabola is in the coordinates:

[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]

substituting all of the known values, we get the following:

[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]

the vertex of  [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.

Answer:

2,17

Step-by-step explanation:

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