Given AXYZ = ARST.mZR=(6n+1). m _Y=108°, and m _Z=(91-4)', what is the value of n?
Answers
Answer:
A
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, thus
∠ S = ∠ Y = 108°
∠ T = ∠ Z = 9n - 4
Given ∠ R = 6n + 1
The sum of the 3 angles in Δ RST = 180°
Sum the 3 angles and equate to 180, that is
6n + 1 + 108 + 9n - 4 = 180 , simplify
15n + 105 = 180 ( subtract 105 from both sides )
15n = 75 ( divide both sides by 15 )
n = 5 → A
Related Questions
What's the slope of this line
Answers
Answer:
slope= 1/2x-3
Step-by-step explanation:
Rise / run + the y intercept
A study found that 8% of dog owners brush their dog's teeth. Of 25 dog owners, about how many would be expected to brush their dog's teeth? *
10 points
(1) 8
(2) 25
(3) 2
(4) 17
Answers
Yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
Answers
To do this, we divide 36 by 2 which gives us 18.
So if Yousef can type 18 words in 1/3 of a minute, we multiply 18 by 3 to work out how many words he types per minute.
18 x 3 = 54
Therefore Yousef types 54 words per minute.
Another method:
Another method to do this would be to take the 36 and divide it by 2/3 which would give us 54.
Nana plants 3 red roses bushes for every 4 yellow rose bushes in her garden. If she plants 12 red rose bushes, how many yellow will she plant? Number only
Answers
Answer:
16
Step-by-step explanation:
Given that:
For every 3 red roses bushes for every 4 yellow bushes are planted by Nana in her garden.
Let us first have a look at the ratio of red roses bushes and yellow bushes.
Number of red roses bushes : Number of yellow bushes = 3 : 4
Now, we are given that there are 12 red rose bushes planted.
To find: How many yellow rose bushes Nana will plant?
Solution:
Let us use unitary method for finding the required answer.
Number of yellow rose bushes for every 3 red roses = 4
Number of yellow rose bushes for every 1 red rose = [tex]\frac{4}{3}[/tex]
Number of yellow rose bushes for every 12 red rose = [tex]\frac{4}{3}\times 12 = 4\times 4 = \bold{16}[/tex]
Therefore, the answer is 16.
If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4
Answers
Answer:
B. [tex]s=\dfrac{1}{4}\times420[/tex]
Step-by-step explanation:
Total number of students surveyed = 420
Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]
The number of students that prefer rap is 105
So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].
The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?
Answers
Answer:
B)
:))))))))))
Answer:
B
Step-by-step explanation:
If you cut 10 ounces of butter into 2/5 ounce pieces, how many 2/5 ounces of butter will you have?
Answers
Answer:
what are the answer choices
Step-by-step explanation:
someone help me with this please
Answers
Answer:
7.5+8
Step-by-step explanation:
Simplify: (2a)(-5b)
?
Answers
Answer:
-10ab
Step-by-step explanation:
(2a)(-5b)
Multiply the constants
2* -5 = -10
Multiply the variables
a*b = ab
Combine
-10ab
The expression -10ab represents the product of 2a and -5b
To simplify the expression (2a)(-5b), we can multiply the coefficients and combine the variables.
Multiplying the coefficients, 2 and -5, gives us -10.
For the variables, we multiply the like terms, which in this case are 'a' and 'b'. When we multiply 'a' and 'b', we simply write them side by side: ab.
Therefore, simplifying (2a)(-5b) results in -10ab.
The expression -10ab represents the product of 2a and -5b, combining the coefficients and variables into a single term. It is important to note that the order of the variables, 'a' and 'b', is maintained in the simplified form.
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FOR A TEST!! HELP! Complete the similarity ratio for the similar triangles.
Answers
Answer:
add them up
Step-by-step explanation:
add 8 10 10 and 80 25 20
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
Answers
40%, of the people surveyed, were satisfied with the car.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The information that is provided is
The total number of people who are present is 2200
The number of people who are ready to buy that certain type of car is 880
The percentage of people who will be happy to buy that type or model of car is
= (880 / 2200) * 100
= 0.4 * 100
= 40%
Therfore the answer will be 40%.
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Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?
Answers
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]
De las funciones trigonométricas sabemos que
[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]
La longitud de la antena es 5.196 m.
b: 6 Point: (-4, 2)
Solve for y=mx+b
Please help
Answers
Answer:
y=-4x+2
Step-by-step explanation:
B is the y-intercept and M is the sope, or x, knowing this now we slove:
(-4, 2)
m b
y=mx+b
y=-4x+2
Have a beautiful day! v(⌒o⌒)v♪
For more help take a look at the picture below.
( 6 x − 10 ) + 1 3 ( 6 + 9 x )
Answers
Answer:
123x + 68
Step-by-step explanation:
Pull out like factors :
6 + 9x = 3 • (3x + 2)
(6x - 10) + 39 • (3x + 2)
Final result : 123x + 68
Answer:
123x + 68
Step-by-step explanation:
(6x - 10) + 78 + 117x
6x - 10 + 78 + 117x
123x + 68
Norman purchased 3.5 lb. Of his favorite mixture of dried fruits to use in a trail mix. The total cost was $16.87. How much does the fruit cost per pound?
Answers
Answer:
$4.82
Step-by-step explanation:
Given that:
The total cost of the fruit is $16.87
And Norman purchased 3.5 lb of his favorite mixture of dried fruits.
The cost of the fruit per pound can be calculated by dividing the total cost of fruit by the total amount of pounds of fruit purchased.
i.e.
The cost of the fruit per pound = $16.87/3.5
The cost of the fruit per pound = $4.82
Seventeen out of 20 teens said they eat breakfast every morning. What is the reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?
A.
340
B.
940
C.
1088
D.
1260
Answers
Answer:
The correct answer is C. 1088
What is the slope of y=-3x - 2?*
Answers
Answer:
-3!
Step-by-step explanation:
The slope is always listed right before the x in any slope-intercept form. It can be negative or positive, or even a fraction. In this case, it's -3!
I really hope this helps!
Answer:
-3 is the slope
Step-by-step explanation:
y = mx + b.
The variable m represents the slope. So, what ever number replaces the variable m(-3) is the slope.
what is the answer?
Answers
Answer: 60
Step-by-step explanation:
It’s an equilateral triangle based on the congruent sides.
Choose the best correct name for the set of numbers (...,-3-2-10,1,2,3,...) Integer real numbers natural number whole numbesr rational numbers irrational numbers
Answers
Answer:
the answer should be real numbers, rational numbers, and integers
Step-by-step explanation:
Rational numbers are numbers that can be written in the form of a/b where a and b are integers. The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.
What is a rational number?Rational numbers are numbers that can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers. Since integers are in the category of rational numbers, while rational numbers are in the category of real numbers.
Therefore, The correct name for the set of numbers (...,-3-2-10,1,2,3,...) can be either integer, rational numbers, or real numbers. But since rational numbers and real numbers are too wide, thus, the best answer choice will be integers.
Hence, The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.
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Conocido popularmente como el Lanzón, es una escultura elaborada por la cultura Chavín de Perú. Este gran monolito data, aproximadamente, del año 1000 a. C. y está situado en el Viejo Templo del centro religioso y ceremonial de Huantar.
Cierto día en una visita cultural, Pedro decide representar el Lanzón Monolítico con una escala de 1:103 cuya medida es de 4,41 cm.
Teniendo en cuenta los datos de la situación. ¿Cuánto mide la altura real exacta del Lanzón en metros?
Answers
Answer:
La altura real del Lanzón Monolítico es de 453.23 centímetros, o 4.53 metros.
Step-by-step explanation:
Dado que la representación a escala del Lanzón Monolítico mide 4,41 centímetros, y que dicha escala tiene un valor de 1:103 respecto de la medida real de la escultura, para representar la altura real de la misma se requiere realizar el siguiente cálculo:
1 = 4,41
103 = X
(103 x 4,41) / 1 = X
454.23 = X
Por lo tanto, la altura real del Lanzón Monolítico es de 453.23 centímetros, o 4.53 metros.
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answers
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
Will give 25 points! Please Explain! Im so confused! Big test on friday!
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation
(5,2), y=x-5
a. y=-x+7
b. y=3x+1
c. y=x+7
d. y=x+ 12/5
Please Dont forget to Also Explain! Thank You!
Answers
Answer:
a. y = -x + 7
Step-by-step explanation:
The line with equation y = x - 5 has slope = 1.
A perpendicular to a line has the opposite reciprocal slope of the line, so a perpendicular to the given line has slope -1.
y = -x + b
To find the value of b, we plug in the given point for x and y and solve for b.
y = -x + b
2 = -5 + b
b = 7
y = -x + 7
Answer: a. y = -x + 7
Write the equation of the line fully simplified slope-intercept form.
Answers
Answer:
y = -x/6 + 2
Step-by-step explanation:
Answer:
y=2-1/6x
Step-by-step explanation:
andre is writing a paper for science class he can type 30 words per minute what is the ratio of words to minutes
Answers
Answer:
30words
60
30/ 60 = 1/2
The ratio is 1:2
Thank you and please rate me as brainliest as it will help me to level up
Answer both question carefully. All help needed on this. Thank you!
Answers
Answer:
9) It will be congruent to the original image. Or stay the same.
10) It gets enlarged
Step-by-step explanation:
Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.
Answers
Sarah pained her birdhouse this weekend. She painted 1/5 of her birdhouse with 2/3 cans of paint. How many cans of paint will she need to complete her birdhouse
Answers
Answer:
8/3 or 2.666666..........
Step-by-step explanation:
20% = 2/3
100 / 20 = 5
so it will take 5 * 2/3 or (10/3) to paint the whole house
but use had used 2/5
so the Answer is (10/3) - (2/5) = 8/3
I need that big brain help pls
Answers
Answer:
The answer to question is the second one (RSW)
Hope this helps! (if you need an explanation, just ask!) :)
Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the floor of the concert hall. Tickets for floor seats are $83 each. Tickets for the balcony are 60% of the price of the floor tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats, and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560?
Answers
Answer:
[tex]83f+49.8b \leq 560[/tex]
Step-by-step explanation:
Given that the cost of 1 floor ticket = $ 83.
Cost for f floor tickets = $ 83f
Ticket for 1 balcony ticket = 60% of floor ticket.
= 0.60 x 83 = $49.8
Cost for b balcony tickets = $ 49.8b.
Total cost for f floor tickets and b balcony tickets, C= 83f+49.8b.
As the person can spend a maximum of $560,
So, [tex]C\leq 560[/tex]
[tex]\Rightarrow 83f+49.8b \leq 560[/tex].
Hence, the required inequality is [tex]83f+49.8b \leq 560[/tex].
You tape two pieces of paper together that each measure
41.36 cm. You then cut off 21.99 cm.
How long is the paper?
Answers
Answer:
The paper is 60.73 cm long.
Step-by-step explanation:
The two pieces of paper each measure 41.36 cm, so those together would be 82.72 cm. Subtracting the 21.99 that is cut off, you're left with 60.73 cm. Hope this helped!