Answer:
[tex]\bf{50 \degree }[/tex]
Step-by-step explanation:
Given:
[tex]\begin{aligned}&\sf \triangle \ ABC \\&\sf \angle B \ \cong \angle C \end{aligned} [/tex]
Solve for x
[tex]\begin{aligned}&\sf 5x-10=4x+5 \\&\sf 5x-4x=5+10 \\&\sf x=15 \end{aligned} [/tex]
Solve for ∠B
[tex]\begin{aligned}&\sf (5x-10)\degree \\=&\sf \ (5(15)-10)\degree \\=&\sf \ (75-10)\degree \\=&\sf \ 65 \degree \end{aligned} [/tex]
Solve for m
[tex]\begin{aligned}&\sf m=180 \degree -(\angle B + \angle C) \\&\sf m=180 \degree -(65 \degree + 65 \degree ) \\&\sf m=180 \degree - 130 \degree \\&\boxed{\bf{m=50 \degree }} \end{aligned} [/tex]
1. Obtén la pendiente de las siguientes rectas, grafícalas y determina si las rectas L1 y L2, cuyas ecuaciones son 3x+4y-2=0 y 3x+4y+6=0, son paralelas o no.
Queremos obtener la pendiente de dos lineas dadas, y en base a eso, determinar si son paralelas o no.
Las pendientes son para ambas lineas igual a -3/4, como ambas lineas tienen la misma pendiente y diferente ordenada al origen, podemos concluir que son paralelas.
-----------------------------
Una línea en general se escribe como:
y = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
En este problema se nos dan las líneas:
3*x + 4*y - 2 = 0
3*x + 4*y + 6 = 0
Comencemos por reescribir esas líneas en la forma más general, para hacer esto, debemos aislar y en ambas ecuaciones:
y = (-3/4)*x + 2/4
y = (-3/4) - (6/4)
Aqui podemos ver que ambas pendientes son iguales a -3/4
Al final de la respuesta puedes ver el gráfico de ambas líneas.
Como ambas líneas tienen la misma pendiente, pero distintas ordenadas al origen, podemos concluir que son paralelas.
Esto mismo se puede observar en el gráfico de abajo.
Sí quieres aprender más, puedes leer:
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eighty four million nine hundred and six thousand five hundred and seventy one in numbers
Answer:
84 ,906, 571
<3
Write an expression that represents the perimeter.
Simplify your perimeter expression as much as possible.
a.
X
у
X
a
b
8x + 4y + 4
2x + y +2
4x + 2y + 6
с
Miguel runs 5 miles in 38 minutes. At the same rate, how many miles would he run in 57 minutes?
7,5 miles
Step-by-step explanation:
5/x = 38/57
38x = 5 × 57
38x = 285
x = 285/38
x = 7,5 miles
You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 5 minutes and you record the data point of (10,y), what is the value of y? Use slope to justify your answer.
Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.
A line can be drawn by joining the plot of the two given points
Please find attached the graph of the line created with MS ExcelThe equation of the line is y = -x - 2Reason:
Given points on the line are (-5, 3) and (-1, -1)
From the given points, the graph of the line can be plotted with MS ExcelThe slope, m, of the line is given as follows
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we have;
[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]
The equation of the line in point and slope form is therefore;
y - 3 = -1·(x - (-5) = -x - 5
In slope and intercept form, we have;
y = -x - 5 + 3 = -x - 2
The equation of the line in slope and intercept form is y = -x - 2Learn more here:
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If I could get help
Answer:
4m, 6m, 7m, 5m
Step-by-step explanation:
To find perimeter you just add the side lengths togeather.
Which of the following is equivalent to 8 1/2 ?
Answer:
1 5/8 is equal to 13/8
Step-by-step explanation:
I need help with this, please.
Red oak trees grow at a rate of about 2 feet per year. You buy and plant two red oak trees, one that is 6 feet tall and one that is 8 feet tall. The height h (in feet) of the shorter tree can be modeled by h=2t+6 where t is the time (in years) since you planted the tree. The height of the taller tree can be modeled by h=2t+8.
A. Graph both equations in the same coordinate plane.
B. Use the graphs to find the difference of the heights of the trees 5 years after you plant them. What is the difference after 10 years? What do you notice about the difference if the heights of the two trees?
Answer:
A: I think it's A because you need to graph both equations
Answer:
These are the screenshots of the work I did and more of the actual answer for graphing but basically,
The difference in heights of the trees after 5 years is 2 feet, after 10 years is 2 feet, and after any number of years is 2 feet since the lines are parallel.
I will brainlist who can answer this 3 Questions!
Answer: 20. A 21. C 22. B
Step-by-step explanation: image attached below for explanation
Evaluate using the order of operations. Enter the answer in simplest form. 15 × 3/8 + 5/8
Answer:
6.25
Step-by-step explanation:
i looked it up
Answer:
13 1/8
#I'mSoSmart
#LOL
*SSQ*
Which factors would historical criticism most likely take into account? Check all that apply.
beliefs that were common during the period the text was written
the suspenseful tone of the text
whether the text is popular with today’s readers
major political events that occurred when the text was written
the original audience for the text
Historical criticism tries to dig into the background of a context or event, Hence, it will most likely take cognizance of the following :
Major political events that occurred when the text was written Beliefs that were common when the text was written Original audience of the text.In other to have a good grasp of the underlying facts and theories about a certain topic or context, it is important to have a good knowledge of the background into other not to misconceive the details and hence, give a constructive criticism.
The original text ensures that one isn't taken information from a pirated or biased source. Cultural belief, values, political inclination and religion are some of the key factors which should be understood in other to grasp the principle or idea of a particular group or setting.Therefore, political events, Belief and original text are key in performing historical criticism.
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Answer:
The second one
Step-by-step explanation:
What is the remainder R?
What is remainder R when the polynomial p(x) is divided by (2x - 1)? is (2x - 1) factor of p(x)?
p(x) = 2x² + 3x + 1
Answer :
R = 3
and (2x - 1) not factor of p(x) because, if (2x - 1) factor of p(x) remainder R when the polynomial p(x) divided by (2x - 1) is R = 0
∴ so the answer is option A
Step by step explanation :« Attached »
4 raise to power 1over6 x 4 raised to power 1 over3
Answer:
32
Step-by-step explanation:Reduce the expression, if possible, by cancelling the common factors.
Simplify the expression.
9m−7m+2m
Answer:
4m
Step-by-step explanation:
First subtract:
9m-7m=2m
Then add:
2m+2m= 4m
Hope this helps!
Pls mark brainliest if correct:)
Andre Drew a plan of a courtyard at a scale of 1 to 60 on his drawing one side of the car Courtyard Is 75 inches. If I Andre Made another courtyard scale drawing is a scale of 1 to 12 what destroying be smaller or larger than the first the drawing
Answer: hey girl hal is north west west of north west west north west of north north
Step-by-step explanation:
What is the value of u + 4v – w, if u = 10, v = 4, and w = 6?
Answer: 20
Step-by-step explanation:
u + 4v - w
10 + 4(4) - 6
10 + 16 - 6
26 - 6
20
One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32° angle with the floor, what must mâ 1 be so the step will be parallel to the floor? The sides of the angled support are parallel. *
PLSSS CN SOMEONE HELP PLSSSS
Answer:
36 percent
Step-by-step explanation:
help me again and agiain
Answer:
7261.92
Step-by-step explanation:
Product means you mutilpy them together
Answer:
7261.92
Step-by-step explanation:
Hope this helps!
Please, please help!!
Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
Using decimal multipliers, it is found that the expression that can be used to determine the final cost of the game is given by:
[tex]C = 0.8856y[/tex]Decimal multipliers:The equivalent multiplier for an increase of a% is given by: [tex]\frac{100 + a}{100}[/tex]The equivalent multiplier for an decrease of a% is given by: [tex]\frac{100 - a}{100}[/tex]In this problem:
Purchase for 18% off, hence decrease of 18%, that is, [tex]\frac{100 - 18}{100} = 0.82[/tex].Sales tax of 8%, hence, an increase of 8%, that is, [tex]\frac{100 + 8}{100} = 1.08[/tex].Applying both multipliers, the expression is:
[tex]C = y(0.82)(1.08) = 0.8856y[/tex]
To learn more about decimal multipliers, you can take a look at https://brainly.com/question/19808269
what number will get you 21.51
Answer:
10.755
Step-by-step explanation:
10.755+10.755=21.51
Answer:
Step-by-step explanation:
a few examples
21 + 0.51
22 - 0.49
10.75 × 2
4.637^2
43.02 ÷ 2
etc....
5. Rewrite the quadratic funtion from standard form to vertex form.
Ax) = 2x2 + 8x + 70
Answer:
[tex]y = 2 {(x + 2)}^{2} + 62[/tex]
Step-by-step explanation:
vertex form is
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
our original equation
[tex]2 {x}^{2} + 8x + 70[/tex]
first we will find the x value using the formula
[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]
plug the value of x back into the original equation to solve for y
[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]
substitute this back into our vertex form and not forgetting the coefficient a = 2
[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]
work out the value of x. 3x? x?
Answer:
x = 67.5
Step-by-step explanation:
Exterior angles always add up to 360 degrees. We have a defined right angle which takes 90 off of our 360, giving us 270 degrees. If we have x as an individual angle and also as x 3 times, then x is appearing 4 times. To find x, we divide our 270 degrees by 4 to get 67.5 . We can check this using a reversive property by multiplying 67.5 by 4 and then adding 90.
360 - 90 = 270
270 / 4 = 67.5
67.5 = x
Cat food costs $2.85 for five cans. Ben only wants to buy one can. How much will it cost?
Answer:
$0.57 for each can of cat food
Step-by-step explanation:
2.85/5 = 0.57 giving you the answer
Answer:
it would cost 0.57 cents!
Explanation:
you'd have to divide 2.85 by 5, because if it is that much for 5 cans, and he only wants to buy 1, you'd divide it by 5, to get 0.57 :)
f(x) =2x+1 g(x)= x^2 -7 find (f+g)(x)
need help like asap
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find (f + g)(x) :
[tex]2x + 1 + {x}^{2} - 7[/tex][tex] {x}^{2} + 2x - 6[/tex]Answer:
[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]
(f+g)(x) = x²+2x-6 is the right answer.The diagonal of a rectangle is 25in. The width is 15 in. What is the area of the rectangle
Answer:
10
Step-by-step explanation:
You have $190 to buy 8 model trains for
your train collection. Write and solve an
inequality that represents the prices you
can pay per train.
Answer:
8x; x ≤ $23.75
Step-by-step explanation:
You have to buy 8 trains with 190 dollars. You can't use more money or have more trains.
8x ≤ 190
Divide by 8 on both sides.
x ≤ $23.75 per train
Your welcome!
Kayden Kohl
8th Grade Student
What is the interquartile range (IQR) of the data set represented by this box
plot?
38
45
50
68
75
Answer: The answer is 23
Step-by-step explanation: The answer i got correct on site
Let the measures in degrees of the three angles of a triangle be x y and z. If y equals 2z and z equals 0.5x-30 then what is the measure in degrees of the largest angle in the triangle
Answer:
108 degrees
Step-by-step explanation:
Remember that the sum of the internal angles of a triangle = 180 degrees