El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Check the picture below.
d. In this situation, what does the solution to the equation C(t) = 2 tell us? Find
that solution.
e. Write an equation that would allow us to find the age of the car when we know
C(t).
ora 1 Unit 4
n 17
CC BY 2019 by Illustrative Mathematics®
The equation C(t) = 2 tells us that at a moment of t, the numeric value of the variable C is of 2 units.
How to define the ordered pair and how it relates to the numeric value?The general format of an ordered pair is given as follows:
(x,y).
The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.
The ordered pair for this problem is given as follows:
(t, C(t)) = (t,2).
Meaning that at a moment of t, the numeric value of the variable C is of 2 units.
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a health food store sells seasoning blends in bulk. one blend contains 20% basil. sheila wants to add pure basil to some 20% blend to make 16 ounces of her own 30% blend. how much does she add to the 20% blend?
Answer:
69%
Step-by-step explanation:
Help me please this is due tn
y=4x+3 table of ordered pairs
Answer:
X:1 2 3 4 5 Y:7 11 15 19 23.
Step-by-step explanation:
We just need to put in the values of x into the equation: y = 4x + 3.
x = 1:
y = 4(1) + 3
= 4 + 3
y = 7
x = 2:
y = 4(2) + 3
= 8 + 3
y = 11
x = 3:
y = 4(3) + 3
= 12 + 3
y = 15
x = 4:
y = 4(4) + 3
= 16 + 3
y = 19
x = 5:
y = 4(5) + 3
= 20 + 3
y = 23
The diagram below shows the start and finish diagrams of a construction using a compass and straightedge. Which of the following statements are true about this construction? Select all that apply.
Answer: 1st and 4th
Step-by-step explanation:
Answer: The answers are the first and fourth one.
Step-by-step explanation: Because of the rules of linear measures
Label the spinner below with the letters A though J. What is the probability of landing on a vowel on the spinner and rolling a number greater that 4 on the fair number cube?
Answer:
3 for vowles and two for number
Step-by-step explanation:
I also need help on this one just need points
z > 34. Which of the following statements is the best way to describe the value of z? (3 points) The value of z is less than 34. The value of z is more than 34. The value of z has a maximum of 34. The value of z has a minimum of 34.
Answer:
ans: value of z is greater than 34
Step-by-step explanation:
draw the number line as shown in picture
Lee la siguiente situación y completa:
Para lanzar una nueva revista en una ciudad se va a preguntar a sus habitantes acerca de sus temas de interés. Para ello, se realiza una encuesta telefónica en forma aleatoria a 40.000 personas.
De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.
¿Cómo identificar la información faltante?Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.
En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.
Nota: Esta pregunta está incompleta. Aquí está la información completa:
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on a blueprint, the bedroom wall is 6 in long. the scale factor is 1 to 24. what is the length of the actual wall?
A. 144 inches
B. 4 inches
C. 24 inches
D. 6 inches
Answer:
A
Hope This Helps! :)
Answer:
B. 4 inches
Step-by-step explanation:
(24)(1) / 6 = 4
What happens when you have "minus a
negative"?
PLEASE HELP What is the volume?
0.3 ft
0.3 ft
0.3 ft
cubic feet
\(0.3\cdot0.3\cdot0.3=0.0027\)
Hope this helps.
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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–9(w + 585) = –360 w = ______
Answer:
w = 15
Step-by-step explanation:
-9(w + 585) = -360w
-9w -5265 = -360w
351w = 5265
w=15
Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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What is 6.493 rounded to the nearest hundredth?
Answer:
6.49
Step-by-step explanation:
Hope this helps!
The diameter of a circle is 34 kilometers. What is the circle's circumference?
The area of a rectangular wall of a barn is 48 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
l = 16 feet
w = 3 feet
Step-by-step explanation:A = l×w
l = 10+2w
48 = (10 + 2w)w
48 = 10w + 2w² | : 2
24 = 5w + w²
w² + 5w - 24 = 0
w² + 8w - 3w - 24 = 0
w(w + 8) - 3(w + 8) = 0
(w - 3)(w + 8) = 0
w - 3 = 0 => w = 3 feet
w + 8 = 0 => w = - 8 ∉ N
l = 10 + 2w
l = 10 + 6
l = 16 feet
A = l×w = 16ft×3ft = 48ft²
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
Answer:
20 I guess
Step-by-step explanation:
because maybe 1 is 9
8. The side length of a square measures
Assume y is nonzero.
3x4/y5meters. What is the area of the square? Assume y is nonzero.
Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
On Monday, Melodie ate 14 snickers
candy bars at lunch. When she got home
she ate another 1 snickers how many snickers did she eat on Monday?
Answer:
3
Step-by-step explanation:
1 1/4 + 1 3/4 = 3. Hope this helps!
Please help when Kevin bought a new office phone, he borrowed $1,200 at a rate of 18% for 9 years
Answer:
where is the rest of the questions
A food and nutrition organization reported that 58 out of every 100 people want to lose weight. If 499 students were surveyed at random in the student union,
how many would want to lose weight? Round to the nearest whole number.
About
of the students would want to lose weight.
Answer:
500
Step-by-step explanation:
there are 877 students taking College Algebra or Calculus. There are 478 students taking College Algebra, 428 students taking Calculus, and 29 students taking both College Algebra and Calculus. How many students are taking College Algebra, but not Calculus?
how did the greeks defend themselves from dorian rules?
Answer: the Dorians were far less advanced then the Mycenaean Greeks; economy collasped and trade stopped
Heres my Question help please
The point on the parabola closest to (8, 1 + √2) is P(2(3 + 2√2), 11 + 8√2).
What is parabola?In mathematics, the point where a plane and a cone intersect is known as a parabola.
A parabola's shape makes it symmetrical about a single axis known as the axis of symmetry.
To find the point on parabola closest to the point (8, 1 + √2), we need to minimize the distance between the point and the parabola.
A point on the parabola y = x2 + 1 is designated as P(x, y).
The distance between P and (8, 1 + √2) is given by the distance formula:
d = √[(x - 8)² + (y - 1 - √2)²]
We want to minimize this distance by finding the values of x and y that minimize d.
Let f(x, y) = (x - 8)² + (y - 1 - √2)² and g(x, y) = y - x² - 1.
Our objective is to find the x and y values that minimise f(x, y) while observing the constraint g(x, y) = 0.
The Lagrange function is given by:
L(x, y, λ) = f(x, y) - λg(x, y)
By taking partial derivatives of L w.r.t x, y, and λ, we get:
∂L/∂x = 2(x - 8) - 2λx = 0
∂L/∂y = 2(y - 1 - √2) - λ = 0
∂L/∂λ = y - x² - 1 = 0
Solving these equations simultaneously, we get:
x = 4/(1 + λ)
y = x^2 + 1 = 16/(1 + λ)² + 1
λ = (2√2 - 1)/(1 + √2)
On substituting λ into the expressions -
x = 2(3 + 2√2)
y = 11 + 8√2
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an object Travels hundred meters in 10 seconds and then another 200 meters in 5 seconds what is the average speed of the object
Answer:
I think ur and is 50 m/ s.
answer is 5m/s that is the answer
Step-by-step explanation:
200 ÷ 5 = 20
100 ÷ 10 = 10
PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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