Answers
========================================================
Explanation:
Let's start with the exterior angle 116 degrees.
The interior angle adjacent to this will add to 116 and we'll get 180
(interior angle) + (exterior angle) = 180
(angle VWX) + (angle VWY) = 180
(angle VWX) + (116) = 180
angle VWX = 180 - 116
angle VWX = 64
-----------------
Let's focus solely on the interior angles of triangle VWX
We found angle W to be 64. Angle X is given to be 44. Angle V is unknown, but we can solve for it like such
V+W+X = 180
V+64+44 = 180
V+108 = 180
V = 180-108
V = 72
--------------
The three interior angles of triangle VWX are:
V = 72
W = 64
X = 44
This will determine the order of the side lengths from smallest to largest. Recall that the smallest side of a triangle is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle.
Based on those V,W,X angle values, we know that
WX = longest side (since the angle opposite V = 72 is largest)
VW = shortest side (since X = 44 is the smallest angle and it is opposite VW)
The order of the sides is therefore:
VW < VX < WX
We don't involve point Y because it's not part of the triangle.
Check out the diagram below for a visual summary.
Related Questions
What is the image of the point (-8,0)(−8,0) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
Answers
Answer:
(0,8)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise, the formula for 90 clockwise is (y, -x) so plug in the variables and you get (0,8)
PLEASE ANSWER I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
Answers
Answer
x to 0
10 to 350
hope that helps you:)
please mark me brainiest
tryna get 3 brainiest
I
Tori had a $300 unpaid balance after last month's payment on her account. Her annual percentage rate is 21%. The minimum payment due is $25. How much of that is interest for one
month on the unpaid balance?
Answers
Answer:
After the passage of a month, the interest that Tori must pay will be $ 4.81.
Step-by-step explanation:
Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:
12 = 21
1 = X
21/12 = X
1.75 = X
((300 - 25) x 1.75 / 100) + 300 = X
4.81 + 300 = X
304.81 = X
Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.
The price of a television was increased from $200 to $250. By what percentage was the price of the television increased
Answers
Answer:
20%
Step-by-step explanation:
cuz quick meths
What is the solution to this equation 2x + 10 equals 28
Answers
Answer:
X=9
Step-by-step explanation:
2X+10=28
-10 -10
2X=28
DIVIDE BOTH SIDES BY 2
In the image...i showed the work
Find the area of a circle with diameter 12 m.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answers
Answer:
113.04m²
Step-by-step explanation:
Area of circle: [tex]\pi[/tex] × r²
Radius = [tex]\frac{diameter}{2}[/tex]
We can just apply the formula to the question:
Area of circle = 3.14 × ([tex]\frac{12}{2}[/tex])²
= 3.14 × 36
= 113.04m²
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.
Answers
Answer:
a
[tex]\= x = 40.85[/tex]
b
[tex]E = 5.85[/tex]
Ca
[tex]t_c = 2.08 [/tex]
Cb
[tex] t_c = 1.282 [/tex]
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{a + b }{2}[/tex]
=> [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]
=> [tex]\= x = 40.85[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{b- a }{ 2}[/tex]
=> [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]
=> [tex]E = 5.85[/tex]
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
The sample size is n = 22
Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22 - 1[/tex]
=> [tex]df = 21[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of 21 is
[tex]t_c =t_{\frac{\alpha }{2} , 21 } = 2.08 [/tex]
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex] t_c =Z_{\frac{\alpha }{2} } = 1.282 [/tex]
A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and the width of the path?
A. A= (x-15)(x-3)
B. A = (x-10)(x-8)
C. A= (x-16)(x-5)
D. A = (x-20)(x-4)
Answers
Answer:
B
Step-by-step explanation:
The equivalent expression shows the length and the width of the path is (x-10)(x-8).
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.
Given:
A = x² - 18x +80.
Now, factorizing
x² - 10x - 8x + 80
=x(x-10) - 8(x-10)
=(x-8)(x-10)
Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ6
You want to know about the dining habits of college students in the US. Since you do not have resources to survey all college students in the nation, you take a random sample of 1501. You learn that, on average, they eat out 4 times per week. Also, these sample data are generally distributed about the average of 4 times, by 1.5 times per week. 1. What is the average times per week that college students across the nation eat out
Answers
Answer:
the average times per week that college students across the nation eat out lies within these 95% confidence interval
[tex] 3.938 < \mu < 4.062 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1501
The sample mean is [tex]\= x = 4[/tex]
The standard deviation is [tex]\sigma = 1.5[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{1.5 }{\sqrt{1501} }[/tex]
=> [tex]E = 0.06196 [/tex]
Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]4 -0.06196 < \mu < 4 + 0.06196[/tex]
=> [tex] 3.938 < \mu < 4.062 [/tex]
Hence the true average times per week that college students across the nation eat out lies within this interval
HELPP WITHH MATHHH PLEASE SMART PEOPLE
Answers
Answer:
is not; 4t
Step-by-step explanation:
Because when you switch the signs for substraction like 2-3 you will get -1, but if you do 3-2, then youll get 1. The Same goes for this question. If you plug in 2 for t, like 13(2)-4(2), it will be 26-8, which is 18. But if you do the same for the other equation, 4(2)-13(2), you will get 8-26, which equals -18. So -18 does not equal 18 because one postive and the other is negative.
Answer:
is not; -4t
Step-by-step explanation:
It's not the same because the negative sign always belongs to the number in front of it.
Which model shows two equal expressions when the value of X is 4
Answers
Answer:
A
Step-by-step explanation:
A has 4 boxes with XS and the end result is 4 1s which add up to 4 Xs
Answer:
A
Step-by-step explanation:
HELP ASAP "Steve's mom gives him 50$ to spend at the mall. He must but two new pairs of pants which each cost 19$ each. He can spend the rest at an arcade where each game cost 0.75
Which inequality can be used to determine the number (n) of arcade games Steve can play?
19 + 0.75n <50
19 + 0.75, n , <50
38 + 0.75n <50
38 + 0.75, n , <50
19 + 0.75n ≤50
19 + 0.75, n is less than or equal to, 50
38 + 0.75n ≤50
Answers
Answer:
bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')
Step-by-step explanation:
What is the length of each leg
the triangle below?
A. 5.6
B. v32
C. 16
D. 4v2
E. 16v2
F. 1
Answers
The length of each leg of the given triangle is 16√2.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The length of the leg is calculated by using the angle property. Use sin angle to calculate each leg.
First leg,
Sin45 = P / H
1 / √2 = P / 32
P = 32 / √2
P = 16√2
Second leg,
Sin45 = P / H
1 / √2 = P / 32
P = 32 / √2
P = 16√2
Therefore, the length of each leg of the given triangle is 16√2.
To know more about triangles follow
https://brainly.com/question/17335144
#SPJ2
Each cube is 1.5 cm long. Calculate the surface area.
Answers
Answer:
13.5cm square
Step-by-step explanation:
A=l×w = 1.5×1.5=2.25cm square
SA=2.25×6=13.5cm square
The surface area of the cube is 49.5 cm². Thus, option C is correct.
What is cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. It is a hexagon when viewed from a corner, and its net is commonly portrayed as a cross. The cube is one of the five Platonic solids and the only regular hexahedron.
The surface area of a solid item is a measurement of the entire area occupied by the object's surface.
The surface area formula is six times the square of the length of the cube's sides. It is represented as 6a2, where is the cube's side length. It is, in essence, the whole surface area.
Area of Cube = side*side
= 1.5x1.5
=2.25cm²
A total of 22 surfaces are exposed. So, the surface area of the cube is,
=22* 2.25
= 49.5 cm²
Therefore, option C is correct.
Learn more about surface area here:
https://brainly.com/question/29298005
#SPJ2
Complete question is mentioned in the image below.
Combine like terms in the expression 7a-4b+5b-a
Answers
Answer:
6a+b
Step-by-step explanation:
pls mark me brainliest
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answers
Answer:
Step-by-step explanation:
Vertex
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answers
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
HELP ASAP WILL GIVE 25 POINTS
Answers
WILL MARK BRAINLIEST!!
Answers
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
What is 0.2 , ( - 1.78)?
Answers
Answer:
-1.48
Step-by-step explanation:
I do 0.20+0.40=70+8+0.78+1=1.78
what is 30 percent of 64?
Answers
Answer:
19.2
Step-by-step explanation:
I did the math by dividing the percentage and total
8(0.25n-2)+n=-0.5(8-4n)
Answers
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answers
Answer:
D
Step-by-step explanation:
I NEED HELP PLZ ITS FOR MY FINAL
Answers
PLSSSS HELP WILL MARK BRAINLIESTTT
QUESTION 15
Answers
simplify the following expression 3 [(x^3-7x+1)-(x+4)]
Answers
Answer: 3x^3−24x−9
Step-by-step explanation: 3(x^3−7x+1−(x+4))
=(3)(x^3+−7x+1+−x+−4)
=(3)(x^3)+(3)(−7x)+(3)(1)+(3)(−x)+(3)(−4)
=3x^3−21x+3−3x−12
=3x^3−24x−9
What is the value of t in this situation 2t+5=2t+5
Answers
Answer:
t = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2t + 5 = 2t + 5
Step 2: Solve for t
Subtract 5 on both sides: 2t = 2tDivide 2 on both sides: t = tHere we see that t does indeed equal t.
∴ t = infinite amount of solutions
image to help also needed asap :/
Answers
Answer:
Its c/2
Step-by-step explanation:
⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⠀⠀⠀⢰⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⡆⠀⠀⣿⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⢰⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⢸⠀⢸⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⢸⡄⠸⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢸⡅⠀⣿⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣥⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⡿⣿⣿⡿⡅⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠉⡙⢔⠛⣟⢋⠦⢵⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣄⠀⠀⠁⣿⣯⡥⠃⠀⢳⠀⠀⠀Big Chungus⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡇⠀⠀⠀⠐⠠⠊⢀⠀⢸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠁⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀
⠀⠀⠀⡜⣭⠤⢍⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢛⢭⣗⠀
⠀⠀⠀⠁⠈⠀⠀⣀⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠀⠰⡅
⠀⠀⠀⢀⠀⠀⡀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⠠⡕⠀
⠀⠀⠀⠀⣿⣷⣶⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠉⢆⠀⠀⠀⠀
⠀⢀⠤⠀⠀⢤⣤⣽⣿⣿⣦⣀⢀⡠⢤⡤⠄⠀⠒⠀⠁⠀⠀⠀⢘⠔⠀⠀⠀⠀
⠀⠀⠀⡐⠈⠁⠈⠛⣛⠿⠟⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠑⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
A painter uses 1.5 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of paint does it take to paint the entire wall?
Answers
Answer:
[tex]6[/tex]
Step-by-step explanation:
if
[tex] \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6[/tex]
Which expression is equivalent to p.q.q.q.q.q.q.q.q.q?
