Identify the relationship complementary, or vertical and find the value of x.
Wouldn’t it be complementary?
Also, I know how to find x, I’m just wondering what’s the relationship.
Answers
Answer:
It is complementary.
Step-by-step explanation:
It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees. Supplementary angles : Angles that are next to each other adding up to 180 degrees.
Related Questions
The ratio of the number of yellow buttons that Miko had to the number of blue buttons that Miko had was 2: 3. After she had bought 27 more blue buttons, The ratio of the number of yellow buttons to the number of blue buttons became 4:9. How many buttons did Miko have at first?
Answers
Answer:
90 buttons
Step-by-step explanation:
the ratio of yellow : blue = 2 : 3 = 2x : 3x ( x is a multiplier )
after buying 27 more blue buttons
2x : 3x + 27 = 4 : 9
expressing the ratios in fractional form
\(\frac{2x}{3x+27}\) = \(\frac{4}{9}\) ( cross- multiply )
18x = 4(3x + 27)
18x = 12x + 108 ( subtract 12x from both sides )
6x = 108 ( divide both sides by 6 )
x = 18
number of buttons at first = 2x + 3x = 5x = 5 × 18 = 90
From the first ratio, we know that for every 3 blue buttons, Miko had 2 yellow buttons, so the original number of yellow buttons was (2/3)b.
When Miko bought 27 more blue buttons, the number of blue buttons became b + 27. The ratio of yellow buttons to blue buttons after Miko bought the extra buttons became 4:9, so the number of yellow buttons became (4/9)(b + 27).
We can set these two expressions for the number of yellow buttons equal to each other and solve for b:
(2/3)b = (4/9)(b + 27)
Expanding the right-hand side:
(2/3)b = (4/9)b + (4/9)(27)
Combining like terms:
(2/3)b - (4/9)b = (4/9)(27)
Solving for b:
(5/9)b = (4/9)(27)
Dividing both sides by (5/9):
b = 27
So Miko originally had b = 27 blue buttons. To find the original number of yellow buttons, we can use the equation:
y = (2/3)b = (2/3)(27) = 18
So Miko originally had y = 18 yellow buttons
Questions 7 and 8 multiple choice
Answers
Problem 7
Answer: Choice A) 7--------------------------------------
Work Shown:
p(x) = x^4+x^3-kx-x+6
If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.
This means p(2) = 0
Replace every x with 2 and solve for k
p(x) = x^4+x^3-kx^2-x+6
p(2) = 2^4+2^3-k(2)^2-2+6
p(2) = 16+8-4k-2+6
p(2) = 28-4k
0 = 28-4k .... replace p(2) with 0
4k = 28
k = 28/4
k = 7
The polynomial
p(x) = x^4+x^3-7x^2-x+6
has the factor (x-2)
============================================
Problem 8
Answer: D) 40--------------------------------------
Work Shown:
Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.
An alternative is to use direct substitution
p(x) = 2x^4+4x^3-x^2-5
p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3
p(-3) = 2(81)+4(-27)-9-5
p(-3) = 162-108-9-5
p(-3) = 40
This helps confirm we got the right remainder and the right answer.
A spinner is divided into 6 equal regions, numbered 10 through 15. An arrow is spun and lands on one of the numbers. What are the odds of the arow landing on a number that is greater than 10?
A.
0.1667
B.
0.333
C.
0.667
D.
0.833
Answers
Answer: Option D (0.833)
Step-by-step explanation:
There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).
Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answers
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
the answer is option b
Answers
Answer:
the answer to what?
Step-by-step explanation:
I'm sorry but confused on what the question is?
I WILL GIVE BRAINLEST!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSS SHOW YOUR WORK PLSSSS
Answers
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSS SHOW YOUR WORK PLSSSS
Find the surface area of a cylinder with a height of 8 m and a base radius of 4 m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit.
Answers
Explanation
We are given the following:
\(\begin{gathered} height=8m \\ radius=4m \\ \pi=3.14 \end{gathered}\)We are required to determine the surface area of a cylinder. This can be achieved by using the formula:
\(\begin{gathered} Area=2\pi r(r+h) \\ Area=2\times3.14\times4(4+8) \\ Area=2\times3.14\times4\times12 \\ Area=301.44m^2 \end{gathered}\)Hence, the answer is 301.44m².
pls help me with this
Answers
Answer: x=5 z=115
Step-by-step explanation:
First, subtract 91 from 180(which is the amount of degrees on the line)
Secondly, subtract 24 from 89(which is the amount of degrees on the x portion
Next, divide 65 (the amount of angles missing after subtracting 24)
Lastly, add 65(for the perpendicular value), then find the difference between 180 and 65 to get to the value of z.
Answer:
z= 91°
x=5
Step-by-step explanation:
z is the vertical angle to 91°. Vertical angles are always congruent which means they are equal.
Now to solve for x you do
\(180=91 + (13x+24)\)
a straight line is always 180 so both angles added together would give you 180.
Then you would subtract 91 from both sides of the equation to get the equation
\(89=13x + 24\)
Then you subtract 24 from each side to get the equation
\(65 = 13x\)
Then divided both sides to get your final answer of
\(5=x\) or \(x=5\)
Your mather bougth 20 kilos of mangoes and atis combined. Mango is P 60.00per kilos and atis is P 40.00 per kilos.If she paod P 1000.00 for 20 kilos, how many kilos of each kind mather bought A.)Ifx is number of kilos mango and number of kilos of atis then the eguation is ? B.) Eguation for the cost of fruits. C.) The system of eguations are ? D.) Solve by any method. E.) Check if your result will satisfy the problem.
Answers
Answer:
A) \(x+y=20\)
B) Cost function is: \(3x+2y = 50\)
C) \(x+y=20\), \(3x+2y = 50\)
D) \(x=10, y=10\)
E) Yes, the result satisfies the equations.
Step-by-step explanation:
Let number of kilos of mango bought = \(x\)
Let number of kilos of atis bought = \(y\)
Total number of kilos bought = 20
A) \(x+y=20\)
Cost of mango per kg = 60
Cost of mango for \(x\) kg = \(60x\)
Cost of atis per kg = 40
Cost of mango for \(y\) kg = \(40y\)
Total cost is: Cost of mango + Cost of atis = 1000
B) Cost function is:
\(60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)\)
C) System of equations are:
\(x+y=20\) ...... (1)
\(3x+2y = 50\)...... (2)
D) Using elimination method:
Multiplying equation (1) with 2 and subtracting from (2):
\(x = 10\)
By equation (1):
\(\Rightarrow y =10\)
E) Putting both the values in LHS of equation (1):
10+10 = 20 = RHS
Putting both the values in LHS of equation (2):
\(3\times 10 +2\times 10\) = 50 = RHS
Yes, the result satisfies the equations.
Answer:
What is it?
Step-by-step explanation:
you want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model. how can you address this?
Answers
In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.
Define linear regression.A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.
Given,
You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.
I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.
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2. Communicate and Justify Why is the algebraic
expression x, equivalent to x ¹?
Answers
Expression x is equivalent to \(x^{1}\) by using the exponent rule.
What do you mean by algebraic expression?
A mathematical expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
There are three primary categories of algebraic expressions, including:
Monomial expression
Binomial expression
Polynomial expression
An algebraic expression can be divided into two additional types in addition to the monomial, binomial, and polynomial types. These are:
Numeric Expression
Variable Expression
Numeric expression - A numeric expression consists of numbers and operations, but never include any variable.
Variable expression - A variable expression is an expression that contains variables along with numbers and operation to define an expression.
As we know, exponent form \(x^{n}\) can be simplified as \(x \times x\times x\times ........n~ times\)
In this way , \(x^{1}\)can be written as x multiplied by 1 time which is equal to x
Therefore, expression x is equivalent to \(x^{1}\).
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Find the surface area of the right cone. round your answer to the nearest hundredth. a right cone is drawn. the length of radius of the base is 8 inches and the slant height is 16 inches.
Answers
The surface area of the right cone is 602.88 inch².
What is cone ?The surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex). The path, to be definite, is directed by some closed plane curve (the directrix), along which the line always glides.Given,
length of radius of the base is = 8 inches
the slant height is =16 inches.
Now using formula ,
the surface area of right circular cone is a right circular cone = πr(r + l)
So, r = 8 inches l = 16 inches
put values in the formula ,
surface area of right circular cone = 3.14 × 8 ( 8 + 16 )
= 3.14 × 8 × 24
= 602.88 inch²
Therefore, the surface area of the right cone is 602.88 inch².
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How much silver yarn is in the magic carpet?
Answers
Answer:
150 meters of yarn
Step-by-step explanation:
The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answers
Answer:A) 8 miles
Step-by-step explanation:
8 miles
In a list of seven consecutive numbers a quarter of the smallest number is five less than a third of the largest number. If x is the smallest number, find expressions for:
a) “a quarter of the smallest number”
b) “five less than a third of the largest number”
Answers
Answer:
a) 0.25x
b) (0.25x+5)*3
Step-by-step explanation:
1000 Chevrolet times 1000 Lamborghini
Answers
Answer:
1000000 chevginis
Step-by-step explanation:
Answer:
1000000 sports cars (Chevrolet and Lamborghinis)
Step-by-step explanation:
1000x1000
How do i graph q(x)=-3x
Answers
Solve the equation for x. Show each step of the solution for full credit. (3 points - 2 points showing work, 1 point correct answer)
3.5(x +2) = 17
Answers
Answer:2.86
Step-by-step explanation:
3.5(x +2) = 17
3.5x + 7 = 17
3.5x =17 - 7
3.5x =10
x = 10/3.5
x = 2.86
1. When raw scores from normal distribution are converted to standard scores, the resulting distribution has a mean equal to ________ and SD equal to _________.
Answers
When raw scores from normal distribution are converted to standard scores, the resulting distribution has a mean equal to 0 and SD equal to 1.
A standard score (also known as a z-score) represents the number of standard deviations from the mean a data point is.
Standard scores, which are typically found for normally distributed data, are used in statistics to compare an observation to the population mean and standard deviation, and they can be used to identify how unusual or common a particular value is. The formula for calculating standard scores is as follows:
z = (X - μ) / σ
Where: X is the raw score
μ is the population mean
σ is the population standard deviation
For normally distributed data, the resulting distribution has a mean equal to 0 and a standard deviation (SD) equal to 1.
Therefore, when converting raw scores from a normal distribution to standard scores, one can find the number of standard deviations a score is above or below the mean of the distribution.
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1 Divide L.E. 200 between Ahmed and his sister in the ratio 2:3.
Answers
Answer:
Ahmed=2/5×200
=400/5
=80
sister=3/5×200
=600/5
=120
Rosa has $254. She pays $7 for breakfast each day and $13 for lunch each day. If Rosa
does not spend money on anything else or receive any additional money, how many
days can she continue to buy breakfast and lunch?
Answers
The number of days that Rosa can continue to buy breakfast and lunch with the money is; 12 days
How to solve algebra Word problems?We are given the following parameters;
Amount held by Rosa = $254
Amount per breakfast = $7
Amount per Lunch = $13
Thus;
Amount spent each day = $7 + $13
Amount spent each day = $20
Now, to find out how many days this money can last her if she doesn't get any more income is;
Number of days = 254/20 = 12 days with $14 left
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use the diagram . Select a pair of supplementary angles
Answers
Answer:
B) angle fga + angle agc
Step-by-step explanation:
supplementary angles when added together equal to 180 degrees
Which property justifies this statement?
If x=3, then x−3=0.
Answers
Answer:
Step-by-step explanation:
identitiy property
A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $19. 25, and tickets cost $30. 25 per person, including tax. Write and solve an inequality that can be used to determine x, the number of people who can go to the amusement park. Write an Inequality
Answers
Answer:
Inequality: 20.50x + $17.75 ≤ $110
Solve: 4 people can go to the amusement park
Step-by-step explanation:
$110 = Amount of money they have
$17.75 = Parking Cost
$20.50 = Cost of tickets per person
Because they only have $110, they can't spend more than that amount.
Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:
20.50x + $17.75 ≤ $110
Solve
$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)
$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)
$92.25 - $82 = $10.25 (10.25 isn't enough for another person)
Please help this is really hard
Answers
Answer:
The new pic will be like this , i think .
Step-by-step explanation:
Good night ^*^
Help please I'ma giving alot of points if you say something else just to get the points I will report
Answers
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Mr. Johnson is going to buy an 18 3/4 pound turkey for Thanksgiving. The turkey cost $2.80 per pound at the grocery store. if the grocery store runs a 20% discount on turkeys, how much will Mr. Johnson save (before taxes)?
A. $1.05
B. $3.75
C. $10.50
D. $42.00
Answers
Answer:
D)$42.00
Step-by-step explanation:
18 3/4 is equal to 18.75, so 18.75x2.80 is your original cost (52.5). After doing that, since 52.5=100% you are going to divide 52.5 by 5 since 20x5=100. So 20% is 10.5. 52.5-10.5= $42.00
Use the following function rule to find f(–4).
f(x) =
–4 +
4
|x|
f(–4) =
Answers
By evaluating the function in x = -4, we will get:
f(-4) = 12
How to evaluate the function f(x)?Here we have the following function:
f(x) = -4 + 4*|x|
So we have an absolute value function.
We want to find f(-4), so we want to evaluate the function in x = -4, to do that, just replace the variable by that number.
We will get:
f(-4) = -4 + 4*|-4|
Remember that the absolute value of a negative number gives the opposite:
|-4| = 4
Then:
f(-4) = -4 + 4*|-4|
f(-4) = -4 + 4*4
f(-4) = -4 + 16 = 12
f(-4) = 12
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the following is a data set of the average weekly number of cups of coffee consumed by employees in an office. find the mean and median and determine if the mean or median is the better measure of central tendency. 2,7,3,8,4,9,6,6,5,8,5,1,2,9,1,36
Answers
The mean is calculated by adding up all the numbers in the data set and dividing by the total number of values. In this case, the sum of the numbers is 105 and there are 16 values, so the mean is 6.56 cups of coffee per week on average.
To find the median, we need to arrange the numbers in order from smallest to largest. The ordered list is: 1, 1, 2, 2, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 36. The median is the middle value, which is 6.
In this case, the median is a better measure of central tendency because the data set includes an outlier value of 36 cups per week. This single value skews the mean and makes it less representative of the majority of employees' coffee consumption. The median, on the other hand, is not affected by outliers and represents the middle value in the data set, which is more reflective of the typical coffee consumption for this office.
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Please Help 100 POINTS!!!
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
