Answers
Supplementary angles are two angles that add up to 180 degrees. In other words, if angle A and angle B are supplementary, then A + B = 180 degrees. Therefor angle FDE= 102 degrees.
How are supplementary angles determined?You can use algebraic equations to find extra angles. For instance, you can deduct the supplied angle from 180 degrees to discover the additional angle if you are given one angle and requested to find it. You can deviate from 180 degrees by subtracting the total of the two specified angles if you are given two angles and asked to determine a third additional angle.
In several fields, including physics, engineering, and geometry, supplementary angles are helpful. They are frequently used to determine distances and measures in a variety of fields, as well as to solve problems requiring angles.
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Related Questions
Which of the following polynomials is in standard form?
SHESH Tecaci
ہے
te
O A. F(x) = 5x + 2x³ - x² - 3
OB. F(x) = -3+5x - x² + 2x³
O c. F(x) = -3 - x² + 2x³ + 5x
O D. F(x) = 2x³ - x² + 5x − 3
-
Answers
F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.
What is polynomial?Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.
Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.
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To form the image, the pre-image moved
O five units right and three units up.
Otwo units right and three units up.
Ofive units left and three units down.
O two units left and three units down.
Answers
Correct option is A. To form the image, the pre-image moved, five units right and three units up.
What is an image?Its image refers to a point's, a line's, a line segment's, or a figure's new location following a transformation.
How to Find a Point in a Plane Image in Steps?The image of Q's coordinates are (x1+ ar, y1+ br, z1+ cr). The midpoint R of PQ's coordinates are discovered. By changing the coordinates of R in the planar equation, the value of r is determined. The r-value is then entered into the Q coordinates.
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Complete Question -
To form the image, the pre-image moved
O five units right and three units up.
O two units right and three units up.
O five units left and three units down.
O two units left and three units down.
The image is attached below -
Answer:
a
Step-by-step explanation:
i rjrjejjejejejebruex so yeah thats it
are fractions with the same denominator?
Answers
Answer:
To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.
Step-by-step explanation:
For example, 2/3 + 3/6
The denominators in this case have a common denominator which is 6.
All you have to do is multiply the 2/3 by 2 in the numerator and the denominator. Once you do, you'll get 4/6 which you could then add to 3/6 to get 7/6 which would equal 1 1/6 or 7/6 either is fine.
Hope this helps! :)
Answer:
To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.
Step-by-step explanation:
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
Answers
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answers
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
David is looking to purchase a new computer monitor. He is looking at one that states it is 17 inches. Computer monitors are measured by the screen diagonal. If the screen measures 10 inches high, what is the width of the screen to the nearest tenth of an inch?
Answers
Answer:
Answer: 7
Step-by-step explanation:
The answer is 7
I hope this helps
If d= 2, what is the value of 8/(4-d)? A.1
B. 4/3
C. 4
D. 0
Answers
8/2
Answer 4 (C)
Carl worked in the grocery store 24.25 hours last week. This week he worked 30.5 hours.
How many more hours did he work this week than last?
Answers
Answer:
6.25 hours
Step-by-step explanation:
30.5 - 24.25 = 6.25 hrs.
You should subtract
Example: 30.5- 24.25
How To Solve: So, since 30.5 take away 24.25 is 6.25 your answer is indeed 6.25
Answer: 6.25
The Ride for Health Bicycle Club has chosen a 60-mile course for this Saturday's ride. If the riders plan on averaging 15 mph while they are riding, and they have a 2-hour lunch break planned, how long will it take them to complete the trip?
Answers
Answer:
6 hours
Step-by-step explanation:
Total time it will take to complete the trip = Total time spent on riding + Time taken for lunch break.
Distance to be covered = 60 miles.
D = 60
Speed of riding = 15 miles per hour
S = 15
Thus time taken to cover a distance 60 miles by riding at a speed of 15 mph:
T=D/S=60/15
T= 4hours
They will spend 4 hours on riding and 2 hour of lunch break.
Hence total time taken to complete the trip = 4 + 2 = 6 hours.
It will take 6 hours to complete the trip.
The number of hours taken by riders to complete the trip is 6 hours.
Given that, distance = 60 mile, speed = 15 mph and lunch break = 2 hours.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Using speed formula Speed=Distance/Time
Here, 15 = 60/Time
⇒ Time = 60/15
= 4 hours
Total time taken in the trip is 4+2 = 6 hours
Hence, the number of hours taken by riders to complete the trip is 6 hours.
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A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, about how many cubic inches would you have eaten (ignoring the holes)?
420 in
193 in
385 in
210 in
Answers
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:
\(V = A_bw\)
The base area is one half times the triangle base times it's height, so:
\(V = 0.5*b*h*w\)
The wedge of cheese is 7 inches tall.
This means that \(w = 7\)
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that \(b = 11, h = 5\)
Volume:
\(V = 0.5*b*h*w = 0.5*11*5*7 = 192.5\)
Rounding, approximately 193 in.
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
The value of x in triangle STU is given as follows:
b) 8.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Applying the Pythagorean Theorem for this problem, the value of x is obtained as follows:
x² + 15² = 17²
x² = 17² - 15²
x² = 64.
x = 8.
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Brittany has 7/8 of a cup of flour and Jason has 2/4 of a cup of flour. How much more flour does Brittany have than Jason ?
Answers
Answer:
3/8
Step-by-step explanation:
Dr. Ortega gave Austin, one of her patients, 180 micrograms of medication. Based on Austin's height and weight, she expects that there will be about 162 micrograms remaining in his body after one hour. Dr. Ortega knows that the amount of medication remaining in Austin's body will continue to decrease each hour.
Write an exponential equation in the form y=a(b)x that can model the amount of medication in Austin's body, y, x hours after the medicine was administered.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
To the nearest microgram, how much of the medication can Dr. Ortega expect to remain in Austin's body after 6 hours?
micrograms
Answers
The exponential function that can model the amount of medication in Austin's body, y, x hours is of: \(y = 180(0.9)^x\)
What is the exponential function?The definition of the exponential function is presented as follows:
\(y = a(b)^x\)
The parameters a and b are listed as follows:
a is the amount when x = 0.
b is the rate of change.
Given that the initial dose was of 180 micrograms, hence the parameter a is;
a = 180.
After one hour, the concentration was of 162 micrograms, hence the parameter b is;
b = 162/180 = 0.9.
Hence the equation is:
\(y = 180(0.9)^x\)
After six hours, the concentration is given as;
\(y = 180(0.9)^6\)= 96 micrograms.
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Many calculators express very large and very similar numbers in Scientific notation if the number 4.32×104 appears in the display of the calculator what is the value of this number 
Answers
Answer:
options d is the correct answer of this
what is N is 80% less than x
Answers
Answer:
-80
Step-by-step explanation:
80 less than x"
__________________
We have the expression 80 less than x. X has no artifical value therefore we do nothing with it. Based off of the wording of the sentence, it says that the total of this unknown number is 80 less than x. Meaning the 80 has been subtracted by x to get this unknown number. Therefore,
x - 80
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alyssa picked 5.39 pounds of blueberries she used 0.3 of those blueberries to make a pie, how many pounds did alyssa use
Answers
Ben has some goldfish in a fish tank. The ratio of orange goldfish to yellow goldfish is 3:5.
He has 6f orange goldfish. Write the number of yellow goldfish he has in terms of f.
Answers
Answer:
Step-by-step explanation:
If the ratio of orange goldfish to yellow goldfish is 3:5, then we can write:orange goldfish : yellow goldfish = 3 : 5We know that Ben has 6f orange goldfish. We can use this information to set up a proportion and solve for the number of yellow goldfish in terms of f:3/5 = 6f/yellow goldfishTo solve for yellow goldfish, we can cross-multiply:3 * yellow goldfish = 5 * 6fSimplifying:yellow goldfish = 30f/3 = 10fTherefore, Ben has 10f yellow goldfish in terms of f, given that he has 6f orange goldfish and the ratio of orange to yellow goldfish is 3:5.
Last year, Diane biked 455 miles. This year, she biked n miles. Using n , write an expression for the total number of miles she biked.
Answers
The expression for the total number of miles is n + 455
Last year Diane biked for 455 miles
This year she biked n miles
Therefore the expression can be calculated by adding the present number of miles plus the number of miles biked last year
n + 455
Hence the expression for the total number of miles is n + 455
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47 kg of tomatoes cost $253.80. How many kilograms of tomatoes can you get
with $248.40?
Answers
Step-by-step explanation:
47 kg tomatoes = $253.80
1 kg tomato = $253.80/47
=$5.4
$248.40= ? tomatoes
we know,
$248.40 = $248.40/$5.4
= 46
46 kg tomatoes can be get with $248.40#
please follow me...What is the measure of AB? (TO THE NEAREST KILOMETER)
Answers
Let's make a skecth of the triangle in the figure:
We can look at the two triangles separatelly. The only thing the they have in common is the angle ∠S, so we can use this as our information to extract from one and use in the other.
We know all sides of triangle SCD, so we can use the Law of Cosines to find out the cosine of angle ∠S:
\(\begin{gathered} CD^2=SC^2+SD^2-2\cdot SC\cdot SD\cos \angle S \\ 2\cdot SC\cdot SD\cos \angle S=SC^2+SD^2-CD^2 \\ \cos \angle S=\frac{SC^2+SD^2-CD^2}{2\cdot SC\cdot SD} \end{gathered}\)So, inputting the values, we have:
\(\begin{gathered} \cos \angle S=\frac{586^2+644^2-533^2}{2\cdot586\cdot644} \\ \cos \angle S=\frac{343396+414736-284089}{754768} \\ \cos \angle S=\frac{343396+414736-284089}{754768}=\frac{474043}{754768{}} \\ \cos \angle S=\frac{474043}{754768{}} \\ \cos \angle S=0.628064\ldots \end{gathered}\)Now, we can look to the greater triangle. Since this angle is the same, we can use the Law of Cosines again, but now to find out the length of AB:
\(AB^2=SA^2+SB^2-2\cdot SA\cdot SB\cdot\cos \angle S\)The measures are:
\(\begin{gathered} SA=SC+CA \\ SA=586+733 \\ SA=1319 \\ SB=SD+DB \\ SB=644+800 \\ SB=1444 \end{gathered}\)So:
\(\begin{gathered} AB^2=SA^2+SB^2-2\cdot SA\cdot SB\cdot\cos \angle S \\ AB^2=1319^2+1444^2-2\cdot1319\cdot1444\cdot0.628064\ldots \\ AB^2=1739761+2085136-2392468.58\ldots \\ AB^2=1432428.41\ldots \\ AB=\sqrt[]{1432428.41\ldots} \\ AB=1196.84\ldots \\ AB\approx1197 \end{gathered}\)So, the measure of AB is approximately 1197 m, which is 1.197 km, so the measure of AB to the nearest kilometer is approximately ilo1 km.
An electronics store has a 20% off sale. If a stereo originally costs $125
Answers
Answer:
Step-by-step explanation:
24
Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
Answers
y= 107
This is because opposite angles in a cycling quadrilateral ( the inscribed polygon) are equal to 180
Does the graph below represent a function?
yes
no
sometimes
not enough information
Answers
Answer:
yes it does represent a function.
Step-by-step explanation:
Explanation:
Passes the vertical line test
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
Answers
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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What expression represents the length of the rectangle?
Answers
Answer:
length = x + 1
Step-by-step explanation:
given area = x² - 6x - 7
factoring the area expression
= (x - 7)(x + 1)
area = width × length
with width = x - 7 and length = x + 1
18. FINANCIAL LITERACY The average annual price of crude oil can be modeled by the
cubic function f(x) = 0.2728x^3- 2.612x^2+ 7.02x + 89.18, where x is the number of years after Gena began driving and f(x) is the price in dollars.
a. Graph the function for 0≤ x ≤ 10
b. Describe the turning points of the graph and its end behavior.
c. What trends in crude oil prices does the graph suggest?
d. Is it reasījnable that the trend will continue indefinitely? Explain.
Answers
Answer:
you can just substitute x as 0,1,2,3,4.....till 10 and you can express in graph .e.g like
x = 0
f(0) = 0.2728(0)³- 2.612(0)²+ 7.02(0)+89.18
= 89.18
so you can countinous do like that till 10 as it mention in question
if the 90 percent confidence interval for u is from 34 to 50 then there is a 10 percent chance that this interval does not contain u
Answers
AS per the given confidence interval, the z score is 0.54
The term confidence interval refers a parameter will fall between a pair of values around the mean.
Here we have given that if the 90 percent confidence interval for u is from 34 to 50 then there is a 10 percent
And we need to find the z value.
While we looking into the given situation, we have identified the following values,
Confidence interval = 95%
Interval = 34 - 50
Mean = 10
Through the given interval we have identified the that sample size was calculated as,
=> 50 - 34
=> 16
Then the z score is
=> z = 10/√16
=> z = 10/4
=> z = 2.5
Then according to the confidence interval, the value from the z table is obtained as.
=> z = 1.96
Then the difference is
=> 2.5 - 1.96
=> 0.54
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I need the equation.
Answers
Answer:
V = 1/3 LWH
Step-by-step explanation:
V = Volume
L = Length
W = Width (or you can write B instead of W)
B = Breadth (same meaning as Width)
H = Height
Hope this helps you.
determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean. assume a population standard deviation of 3.8 in a normally distributed population. group of answer choices 56 59 55 60
Answers
The minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean is 56
Given in the question,
Margin of error = 1
Assuming,
Population standard deviation = 3.8
\(\alpha\) = 0.5, \(\alpha\)/2 = 0.025 so Z\(\alpha\)/2 = 1.96
Margin of error can be calculated as
Margin of error = Z\(\alpha\)/2*SD/\(\sqrt{n}\)
n = (Z\(\alpha\)/e*SD/Margin of error)^2 = (1.96*3.8/1) = 55.47 or 56
So its answer is 56 i.e. option A.
Therefore, the minimum sample size is 56.
The sample size is defined as the number of compliances used for determining the estimations of a given population. The size of the sample has been drawn from the population. slice is the process of selection of a subset of individualities from the population to estimate the characteristics of the whole population. The number of realities in a subset of a population is named for analysis.
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Which of the rays or segments below is a chord of circle O?
A) ->
TC
B)—
SO
C)—>
TU
D)—
FC
Answers
The ray or segment that is a chord is (d) segment FC
How to determine the ray that is a chordFrom the question, we have the following parameters that can be used in our computation:
The circle
By definition, a chord is a straight line that joins points of the circle without passing through the center
The ray that has the above properties is ray FC
Hence, the segments that is a chord is (d) FC
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