Given: w ∥ x and y is a transversal. Prove: ∠3 and ∠5 are supplementary. Parallel and diagonal lines w and x are cut by horizontal transversal y. On line w where it intersects with line y, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 3, 4, 2. On line x where it intersects with line y, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 7, 8, 6. Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are supplementary by the . By the , m∠3 + m ∠1 = 180. Now we can substitute m∠5 for m∠1 to get m∠3 + m∠5 = 180. Therefore, by the definition of supplementary angles, ∠3 and ∠5 are supplementary.
Answers
Answer:
1.Corresponding angles theorem
2.Linear postulate
3.By the definition of supplementary angles
Step-by-step explanation:
We are given that
[tex]w\parallel x \ and \ y[/tex] is a transversal.
We have to prove [tex]\angle 3[/tex] and [tex]\angle 5[/tex] are supplementary
Proof:
1.Given that [tex]w\parallel x \ and \ y[/tex] is a transversal.
We know that [tex]\angle 1\cong \angle 5[/tex]
Reason:Corresponding angles theorem
Therefore, [tex]m\angle 1=m\angle 5[/tex]
by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.
Therefore, they are supplementary by linear pair postulate
By the definition of supplementary angles
[tex]m\angle 3+m\angle 1=180^{\circ}[/tex]
Now, we can substitute [tex]m\angle 5=m\angle 1[/tex]
Then, we get
[tex]\m\angle 3+m\angle 5=180^{\circ}[/tex]
Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary
Answer:
1. Corresponding angles theorem
2. Linear pair postulate
3. Definition of supplementary angles
Related Questions
Choose all that give the correct explicit and recursive formula for the sequence.
Answers
Answer: not clear
Step-by-step explanation:
A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he cover? Think, What area ISN'T Micky covering and subtract out that area...
Answers
Answer:
1400ft²
Step-by-step explanation:
Given
Room Dimension: 20 ft by 25 ft by 10 ft
Where Length = 20 ft
Width = 25 ft
Height = 10 ft
Required
Surface area of painted walls and ceiling
We'll assume that the room is rectangular in shape and all 4 sides are covered.
This means that Mickey will paint 4 walls and 1 ceiling.
The dimension of the 2 of the 4 walls is as follows;
20ft by 10ft, 25ft by 10ft,
Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft
Calculating the area of the 4 walls;
[tex]Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft[/tex]
[tex]Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2[/tex]
[tex]Area = 900ft^2[/tex]
The dimension of the ceiling is as follows:
20ft by 25ft
Calculating the area of the ceiling
[tex]Area = 20ft * 25ft[/tex]
[tex]Area = 500ft^2[/tex]
So, the area Micky will cover = Area of 4 walls + Area of ceiling
Total Surface Area [tex]= 900ft^2 +500ft^2[/tex]
Total Surface Area = [tex]1400ft^2[/tex]
Hence, Micky will cover 1400ft²
PLEASE HELP MEEE ITS VERY URGENT
Answers
Answer:
[tex]C=31.42[/tex]
[tex]A=78.55[/tex]
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]C=2 \times 3.142 \times 5[/tex]
[tex]C=31.42[/tex]
[tex]A=\pi r^{2}[/tex]
[tex]A=3.142 \times 5^{2}[/tex]
[tex]A=3.142 \times 25[/tex]
[tex]A=78.55[/tex]
Find the
15x^2 and 18
Answers
Answer:
I couldn't understand your question, please send once more
Answer: GCF = 3
~~~~~~~~~~~~
Hope this helps!
Factor 8d^2 - 18 ? HELP PLEASE!!!!
Answers
Answer:
2 ( 2d -3)(2d+3)
Step-by-step explanation:
8d^2 - 18
Factor out the greatest common factor 2
2(4d^2 -9)
Rewriting the terms in parentheses
2 (( 2d)^2 - 3^2)
We recognize that this is the difference of squares ( a^2 - b^2) = (a-b)(a+b)
2 ( 2d -3)(2d+3)
Answer:
[tex]2(2d-3)(2d+3)[/tex]
Step-by-step explanation:
[tex]8 {d}^{2} - 18 \\ 2(4 {d}^{2} - 9)
=2(2d-3)(2d+3) [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which percent is equivalent to One-half? edgeunity
Answers
Answer:50%
Step-by-step explanation:
Answer:
The answer is 50%
Step-by-step explanation:
Which of the following exponential functions represents the graph below?
O A Rx) = 1 • 3*
O B. f(x) = 10
O c.
C. 12-23
OD. f(x) = 3.1
Answers
The exponential function represented on the graph is f(x) = (1/3)[tex].^x[/tex]. The correct option is B.
What is an exponential function?The mathematical expression f(x)=exp or e^x denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given graph is representing the exponential function f(x) = (1/3)[tex].^x[/tex] The graph is attached with the answer below. The graph is showing the inverse fraction of ( 1/3).
Therefore, the exponential function represented on the graph is f(x) = (1/3)[tex].^x[/tex]. The correct option is B.
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Calvin was told he should drink 2 liters of water
everyday. If he did this, how much water would
he drink in I week (7 days) ?
Answers
Answer:
14
Step-by-step explanation:
Its pretty simple. You just have to multiply 7 and 2 to get the product of 14. Hopw this helps
Answer:
14 liters every week.
Step-by-step explanation:
There are 7 days in a week.
If he drank 2 liter every day, you could solve this the following ways...
2+2+2+2+2+2+2=14 because 2 liter every day for 7 days
7 x 2 because there are 7 days in a week, and he drank 2 liters a day, so 7 x 2 would work.
7 + 7 would also work.
Your welcome.
I really hope I helped.
Can I plz have brainliest please?
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!
Answers
Answer:
[tex]2x^2-x+3[/tex]
Step-by-step explanation:
So just divide the areas by the length:
[tex]2x^2-x+3[/tex]
And that is your width.
Answer:
iddk
Step-by-step explanation:
Which choice is equivalent to the product below when x>0?
Answers
Answer: 1/3
Step-by-step explanation: Using Radical Properties, Whenever we have two or more radical terms which are multiplied with same index, then we can put only one radical and multiply the terms inside the radical.
[tex]\sqrt{ \frac{5}{x^2} }\times \sqrt{ \frac{x^2}{45} }=\sqrt{ \frac{5x^2}{45x^2} }=\sqrt{ \frac{1}{9} }=\frac{1}{3}[/tex]
The expression √(5/x²).√(x²/45) is equivalent to 1/3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is √(5/x²).√(x²/45)
Square root of five by x square times square root of x square by forty five
√(5/x²).√(x²/45)
√(5x²/45x²)
Cancel out the x² in the numerator and denominator
√(5/45)
Divide numerator and denominator by 5
√(1/9)
1/3
Hence, the expression √(5/x²).√(x²/45) is equivalent to 1/3.
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What is the maximum number of possible extreme values for the function,
f(x) = x4+-7x2-x+6?
A. 3
B. 4
C. 2
D. 5
Answers
Answer:3
Step-by-step explanation:
1) En el siguiente enunciado, identifica la variable estadística y su tipo: Se quiere lanzar al mercado un nuevo producto y la empresa que lo crea estudia el tiempo de publicidad, en segundos, que otras empresas han utilizado para promocionar un producto de similar calidad. ) Calidad del producto - Cualitativa ordinal b) Tiempo de publicidad - Cuantitativa continua c) Calidad de productos - Cualitativa nominal d) Tiempo de publicidad - Cuantitativa discreta
Answers
Answer:
Step-by-step explanation:
Hola!
Las variables aleatorias pueden Cualitativas o cuantitativas.
Las variables aleatorias cualitativas son aquellas que se refieren a atributos o características de los individuos o unidades de interés que no son cuantificables. Dentro de estas variables se pueden identificar dos tipos:
Ordinales: estas variables representan cierto tipo de cualidad que tiene un orden natural, por ejemplo: Opinión de una persona sobre una película de estreno, calificada en "muy buena", "buena", "regular", "mala", "muy mala"
Estas calificaciones son claramente cualidades, pero tienen un orden, todo el mundo sabe que una calificación "regular" es mejor que una "muy mala" y a su vez peor que una calificación "buena"
Nominales: Son aquellas que indican atributos no cuantificables que no tienen un orden natural. Por ejemplo, color de cabello, raza, sexo.
Las variables aleatorias cuantitativas son aquellas que registran valores numéricos, dicho de manera coloquial: "cuentan cosas". Estas variables siempre toman valores dentro de un rango o intervalo de definición, teniendo esto en cuenta podemos definir dos tipos de variables aleatorias cuantitativas:
Continuas: pueden tomar cualquier valor dentro del intervalo de definición de la variable, por ejemplo, la estatura, el peso, la temperatura, entre un valor y otro existen infinita cantidad de valores que la variable puede tomar. En muchos casos, esto está restringido a la precisión de los métodos utilizados para tomar las mediciones.
Por ejemplo, una balanza puede tomar pesos de kilogramo a kilogramo, ej: 20kg, 21kg, 22kg mientras que una más precisa puede tomar pesos intermedios de los mismos objetos, ej: 20.1kg, 21.5kg, 22.9kg y otra más precisa puede indicar mediciones más exactas, ej: 20.142kg, 21.538kg, 22.973kg es decir que, cuanto más precisa la balanza que usemos para obtener las mediciones, mayor será la gama de valores que puede tomar la variable.
Discretas: solo pueden tomar ciertos valores dentro del intervalo de definición de la variable aleatoria, a diferencia de las variables continuas, entre los valores posibles que pueden tomar estas variables, no se encuentra nada, es decir que "saltan" de valor en valor. Por esto también se las llama variables discontinuas.
Uno de los ejemplos más comunes de variable discreta es hacer rodar un dado de 6 caras, la variable puede tomar valores 1, 2, 3, 4, 5, 6 pero no puede tomar valores entre esos valores, es decir, el dado nunca va a mostrar valores intermedios como "2.5" o "3.3".
Dicho esto pasemos a identificar el tipo de cada ejemplo:
a) y c) Calidad del producto
Esta es algo engañosa, porque todo depende de la escala determinada para medir la calidad.
Es decir, si la escala de medición de la calidad de un objeto es de 0 a 10, siendo cero lo peor y 10 lo mejor, entonces la variable es cuantitativa discreta.
Sin embargo, si la escala es nominal, por ejemplo: Alto, medio, bajo, entonces la variable es cualitativa y como las categorías tienen un orden natural, no solo es cualitativa, sino que también es ordinal.
b) y d) Tiempo de publicidad
Esta variable aleatoria "cuenta el tiempo", toma valores numéricos con lo cual es cuantitativa y, además, puede tomar cualquier valor dentro del intervalo de definición, todo depende de la precisión del reloj utilizado lo que la califica como variable continua.
Espero que tengas un buen días!
Triangle ABC is represented by the drawing below.
What are the measures of the interior angles of ABC?
Answers
Step-by-step explanation:
Therefore,
(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)
Or, x+x+2x+20-10-30 = 180°
Or, 4x-20 = 180°
Or, 4x= 180+20
Or, 4x= 200°
Or, x= 200°/4
Therefore, x= 50°
So,
(x+20)
= 50+20
=70°
(x-10)
= 50-10
40°
(2x-30)
= 2×50-30
=100-30
=70°
Hope it helped, If it did, please mark it as the brainliest answer :)
(PLEASE HURRY I NEED IT TODAY)
The triangle ABC goes through a series of transformations, resulting in the triangle A’B’C’. The three transformations are listed below. Reflection in the x- axis. Followed by a rotation of 1800 clockwise about the origin Followed by a translation 3 units down and 4 units to the right For triangle ABC, the vertex A is originally located at (-2, 3). Show the new coordinates of A after each of the three transformations above.
Answers
Answer:
1) Reflection in the x-axis
A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
A''' = (6, 0)
Step-by-step explanation:
The transformations are as follows;
1) Reflection in the x-axis
Here the x-coordinate is the same and the y-coordinate changes sign.
Therefore, we have;
A (-2, 3)
After reflection in the x-axis becomes A' = (-2, -3)
2) Rotation of 180° clockwise about the origin
When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)
Therefore, we have;
A' = (-2, -3) becomes A'' = (2, 3)
3) Translation of 3 units down and 4 units to the right
Translation of 3 units down and 4 units to the right = [tex]T_{(4, -3)[/tex]
Which gives
A''' = (2 + 4, 3 - 3) = (6, 0).
Add
(2x^2 - 2x) + (6x - 4)
Answers
Answer:
2x^2 +4x -4
Step-by-step explanation:
(2x^2 - 2x) + (6x - 4)
Combine like terms
2x^2 +6x-2x -4
2x^2 +4x -4
A certain television is advertised as a 17-inch TV (the diagonal length). If the width of
the TV is 8 inches, how many inches tall is the TV?
Answers
Answer:
15 inches
Step-by-step explanation:
We can solve this problem using the Pythagorean theorem. The formula is:
[tex]a^{2} + b^{2} = c^{2}[/tex]
where 'c' is the hypotenuse (the longest side) and 'a' and 'b' are the legs (the other sides).
First, draw a diagram for the problem. (See the photo attached below)
We know the other leg is 8 and the hypotenuse is 17. 'a' is the missing side.
a = ?
b = 8
c = 17
Substitute the values into the equation.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 8^{2} = 17^{2}[/tex]
Rearrange to isolate 'a'
[tex]a^{2} = 17^{2} - 8^{2}\\[/tex] Square root both sides
[tex]a = \sqrt{17^{2} - 8^{2}}[/tex] Square each number
[tex]a = \sqrt{289-64}[/tex] Subtract under the root
[tex]a = \sqrt{225}[/tex] Find the square root
[tex]a =15[/tex] Final answer
Therefore, the TV is 15 inches tall.
SOMEBODY PLEASE HELP:)
Answers
Answer:
A =12.92 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 7.6) ( 3.4)
A =12.92 cm^2
Answer:
[tex] = 12.92 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]area = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 7.6 \times 3.4 \\ = \frac{25.84}{2} \\ = 12.92 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The answer for this should be 50 but I don’t know how could someone tell me why it’s $50?
Answers
Answer:
50
Step-by-step explanation:
So say the bill is x.
18% of x = 0.18x
0.18x = 9
x = 50
Answer:
it is 50
Step-by-step explanation:
you have to do 9 x 10/18
Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)?
Answers
Answer:
x > - 1.1
All values that are more than - 1.1.
Step-by-step explanation:
4(2 – x) > –2x – 3(4x + 1)
8 - 4x > - 2x - 12x - 3
8 - 4x > - 14x - 3
8 - 4x + 14x > - 14x+ 14x - 3
8- 8 + 10x > - 3 - 8
10x > - 11
x > - 1.1
All values that are more than - 1.1.
Answer:
1.1
Step-by-step explanation:
Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone.
Answers
Your question doesn’t really make sense though.
Arrange the trigonometric functions in increasing order of their values
cos π/6 sin π/6 cos π/2 sin π/2 cos π/4
Answers
Answer: pretty sure it's this
Step-by-step explanation:
Rafael ha comprado 185,8 kg. de manzanas y 300,2 kg. de naranjas. ¿Cuánto más pesan las naranjas que las manzanas? ¿Cuánto pesa su compra?
Answers
Answer:
a.114.4kg
b. 486kg
Step-by-step explanation:
Firstly , we want to know the value with which the apples weigh more than the oranges
To calculate this, we simply subtract the weight of the oranges from that of the apple
Mathematically, that would be ;
300.2-185.8 = 114.4kg
The total weight of the things bought is calculated by adding both weights together
That would be 185.8 + 300.2 = 486 kg
(y+3)(x^2–3y+9) What is the product?
Answers
Answer:
yx
2
−3y
2
+3x
2
+27
Step-by-step explanation:
PLEASE SEE PIC BELOW
Answers
Answer:
They have the same domain and range
Step-by-step explanation:
Although they are different equations, they both have a domain of
[0,∞)
and a range of
[0,∞)
Teena and Adil have a total of 560 counters. Adil has 2/5 of the number of counters that Teena has. How many more counters does Teena have then Adil?
A) 240
B) 336
C) 400
D) 224
Answers
ANSWER:
:2/5 * 560 = D) 224
En el videojuego "City Sweet" hay una ciudad sitiada en la que hay víveres para 2000 personas durante 15 días, un grupo de 500 habitantes decide rendirse. ¿Cuántos días podrán resistir los demás, si los que se rinden no se llevan víveres?
Answers
Answer:
20 days.
Step-by-step explanation:
In this case we must make an inverse proportionality rule, it is inverse because the fewer people there are, the more days must survive. In other words, we know that 2000 people can resist for 15 days, now, if there are no longer 2000 people, but 500 less, that is, 1500 (2000 - 500) how many days can they resist.
people days
2000 15
1500 x
x = 2000 * 15/1500
x = 20
That is, they could last 20 days.
Kent is cutting a long tree into pieces. He cut the trunk into 3 pieces. Then he cut each of those pieces into 3 smaller pieces. Finally he cut each of those smaller pieces into 3 still smaller pieces. How many pieces did they have then?
Answers
Answer:
27
Step-by-step explanation:
he started by cutting one log into 3
1×3=3
then cutting each of those into 3
3×3=9
then again
9×3=27
You can work a maximum of 40 hours a week. You need to make $440 in order to cover your expenses. Your office job pays $12 an hour and your babysitting job pays $10 an hour. What is the least possible number of hours you can work at your office job and still meet the requirements?
Answers
Answer:
The least possible number of hours you can work at your office job is 20.
Step-by-step explanation:
$12/h ----> office
$10/h ----> babysitting
"o" -----> hours office job
"b" -----> hours babysitting job
[tex]12x + 10y = 440\\x + y \leq 40\\12x + 10y = 440 -----> 6x + 5y = 220 ----> y = \frac{220-6x}{5} \\\\x + y \leq 40\\x + \frac{220-6x}{5} \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20[/tex]
A toy store marks down every toy by 15% in June .how much does a toy cost during June
Answers
Answer:
15% less than its regular price
Step-by-step explanation:
If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)
Find the value of x in the given right triangle.
Answers
Answer:
cosine = adjacent / hypotenuse
cosine (62) = x / 12
x = 12 * 0.46947
x = 5.6
Step-by-step explanation: