Answers
We can conclude that the value of angle y is 70° and x is 35°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.So, a measure of 'x':
We can see that ∠BAC = ∠DAE (Inversely opposite angles)
∠BAC = ∠DAE = 40°We can observe that △DAE is an isosceles triangle with ∠2x and ∠y being equal.Let 2x be y for instance:
y + y + 40 = 1802y = 180 - 402y = 140y = 140/2y = 70°Now, we know that y = 70 and similarly 2x = 70.
Now, solve for 'x' as follows:
2x = 70x = 70/2x = 35°Therefore, we can conclude that the value of angle y is 70° and x is 35°.
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Related Questions
Name the slope and one point that is on the line represented by the equation: X=-2
Answers
Answer:
Step-by-step explanation:
M is the midpoint of CF for the points C(4, 10) and F(10, 10). Find MF.
Answers
The length of the segment MF will be 6 units.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that M is the midpoint of CF for the points c(4,10) and f(10,10). To calculate the segment MF first let us calculate the midpoint M.
M = [ ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2 ]
M = [( 4 + 10 ) /2 , ( 10+10 ) / 2]
M = ( 7, 10)
The length of the segment MF will be:-
D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]
D = √ [ ( 10-10 )² + ( 10 - 4 )² ]
D = √36
D = 6
Therefore, the length of the segment MF will be 6 units.
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Ten years ago, Ade's age was half the age of his brother Femi. Today, Ade is 12 years old. How old is Femi now?
Answers
Answer: Femi is 14 years old
Step-by-step explanation: ten years ago ade was 2 and ade is half the age of Femi so that means Femi was 4 at that time since 2 is half of 4 and since he is 12 ten years later Femi is 14 ten years later.
Marsha says that she has a whole candy bar. Jose says that he has 100% of a candy bar.Explain who is correct.
Answers
Both are correct. One expression is literal expression ( whole candy bar). The other expression is mathematical expression ( 100% of a candy bar).
So both expressions are the same
In angle L M N the measure of angle L is equal to the measure of angle M. The measure of angle N is twice the measure of angle M. Find the measure of each angle in angle L M N
Answers
The measure of ∠M and ∠L is 45 degrees. then the measure of ∠N is 90 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called vertex of that angle. Those two line segments forming it are called arms of that angle. The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
Given that the angle L M N the measure of angle L is equal to the measure of angle M.
∠L = ∠M
Also, the measure of angle N is twice the measure of angle M.
∠N = 2∠M
The measure of each angle in angle L M N would be;
∠L + ∠M + ∠N = 180
∠M + ∠M + 2∠M = 180
4∠M = 180
∠M = 180/4
∠M = 45
∠M = ∠L = 45 degrees
∠N = 2 x 45 = 90
Therefore, the measure of ∠M and ∠L is 45 degrees. then the measure of ∠N is 90 degrees.
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an atleate can swim 1/2 mile every 1/ hour what is the unit rate
Answers
Answer:
3/2
Step-by-step explanation:
Find the values of x in this equation. 10 + |2x − 12| − 14 = 0
Answers
x = {4, 8}
Explanation:
-4 + |2x - 12| = 0
|2x - 12| = 4
2x - 12 = ±4
x = 8
x = 4
x = 4, 8
|2x-12|=4
2x-12=4
2x-12=-4
X=8
X=4
X1=4, X2=8
Answer each part. If necessary, round your answers to the nearest hundredth.
(a) Jim bought 11 pounds of flour for $5.
How many dollars did he pay per pound of flour?
dollars per pound
(b) At Davidson's Bike Rentals, it costs $20 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?
dollars per hour
Answers
Answer:
i think a
Step-by-step explanation:
Answer: a.) $2.20 dollars per pound of flour. b.) $5 dollars per hour
Step-by-step explanation:
On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.
Which is a unit rate that describes the exchange?
A. 135 pounds per dollar
B. 0.625 pounds per dollar
C. 137 pounds per dollar
D. 0.7 pound per dollar
Answers
Answer:
D.
Step-by-step explanation:
To find the unit rate, divide both numbers. So, divide 560/800
The answer is 0.7.
The drive from Tallahassee Florida to Tampa takes about 5 1/2 hours while driving the posted speed limit the drive to from Tampa to fort Myers fla take 1 1/2 hours driving the posted sped limit. If you left Tallahassee at 2:30 am and drove directly to Tampa and then directly to fort myers fla, at the posted speed limit what time would you arrive at fort Myers fla
Answers
You will arrive at Myers fla by 9:30 am
Fred is training for a cross-country race. At practice last week, he ran 6.25 miles in 1 1 4 hours. At that speed, how long would it take Fred to run 8.5 miles?
Answers
At the given speed it will take Fred 1.7 hours to run 8.5 miles.
An object's direction and rate of further travel are both regarded as parts of its velocity. By observing how fast and in which direction an object is moving, you may estimate its velocity.
Similar to speed, but also taking direction into account .Speed is hence directionless, but velocity denotes direction. Speed only offers a numerical representation of your speed.
Time taken by Fred to cover 6.25 miles = 1 1/4 = 1.25 hours
Speed of Fred = 6.25/1.25 = 5 miles per hour.
Distance to cover =8.25 miles
Time taken =8.25/5 = 1.7 hours.
Due to the addition of direction, velocity shows how quickly you are shifting your location. Because of this mismatch, if you travel very swiftly while your location stays the same, your velocity will only be 0.
Hence the time taken will be 1.7 hours.
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Find the sum of the hundred even numbers from 0 to 398
Answers
Answer:
39800
i hope that this helps you
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The c
at least 380 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 17 tons o
hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $
operating cost of the second mine is $28,000 per hour. The first mine can be operated no more than 40 hours a week, and the second ml
more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer :
first mine : 40 hour(s)
Second mine : 7 hour(s)
Answers
Please help!!! I need an answer quick
Answers
is wine sir jacque the a beauty for the universe and
Use the equation for an arithmetic sequence. Insert your known values and solve for the 46th term.
See details:
The graph models the linear relationship between the distance traveled and the amount of time it took to get there. What is the rate of change of the distance traveled with respect to time?
A) 1/4
B) 4
C) 1/5
D) 5
Answers
Answer:
D) 5
Step-by-step explanation:
we see that every 4 hours 20 miles are traveled.
so, the rate of change of miles travels over hours is
20/4 = 5/1 = 5
in other words, the speed was 5 mph.
Use the graph of f(x) = √x to graph each function.
7. g(x)=√x- 4
8. g(x)=√x +3
9. g(x)=√x + 6 − 4
10. g(x)=√x - 7+3
Use the graph of f(x) = 1/x to graph each function.
11. g(x) = 1/x +4
12. g(x) = 1/x - 6
13. g(x) = 1/x-6 + 8
14. g(x) = 1/x+7 -4
Answers
the graphs are attached herewith , where the label of the graph are :
along X-axis: 1 square division = 10 units
along y-axis: 1 square division: 10 units
The problem we dealing with is related to manipulating graphs.For the question 7 to 10, the commonly given function is f(x)= √x, if the g(x) is nothing but the f(x-c) or f(x+c), so for the g(X) to be f(x-c), then a graph of that particular function turns to stretch downward whereas, for the f(x+c), it stretches upward.
So, for 7 g(x)=√x- 4 where -4 is c so the g(x) = f(x-c) so the point for the graphs will stretch downward compare to the pint of the functions f(x)= √x.
8. g(x)=√x +3
here g(x)= f(x+3), so the pints stretched upward
9. g(x)=√x + 6 − 4=√x + 2
here additional number for the points ar 2, as it positive one, so the point of the function g(x), stretches upward
10. g(x)=√x - 7+3=√x -4
here the c is -4, so the point of the g(x), stretches downward.
Same for the questions 11 to 14, the common function is f(x) = 1/x ,for which which g(x) = f(x-c) or f(x+c), for positive c , the graph stretches upward otherwise it moves downward
11. g(x) = 1/x +4
here the c is positive, the graph stretches upward for the g(x)
12. g(x) = 1/x - 6
here the c is negative, the graph stretches downward for the g(x)
13. g(x) = 1/x-6 + 8= 1/x+2
here the c is positive, the graph stretches upward for the g(x)
14. g(x) = 1/x+7 -4= 1/x+3
here the c is positive, the graph stretches upward for the g(x)
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what is −k−(−8k)? Im so confused i need desperate help!!!
Answers
Answer:
Step-by-step explanation:
-k-(-8k)
When there are 2 negatives, it becomes a plus. So, -(-8k) would become
+(8k).
So, -k-(-8k):
-k+8k Open parentheses and then subtract because there is a negative.
7k Answer.
I hope this clears things up a little!
your company wants to purchase swag gear for employees. they bought 5 sample merchandise at $ 450 each, 4 sample signs at $ 750 each, and 12 chromebooks with logo at $ 750 each. what is the average spent per article?
Answers
The company spent average amount $678.57 per article.
Average spent per article is calculated using the formula -
Average = sum of all observations ÷ total number of observations
In the question, observations are the different items bought by the company.
Amount spent on sample merchandise = 5 × 450
Amount spent on sample merchandise = $2250
Amount spent on sample signs = 4 × 750
Amount spent on sample signs = $3000
Amount spent on chromebooks = 12 × 750
Amount spent on chromebooks = $9000
Total amount spent = 2250 + 3000 + 9000
Total amount spent = $14,250
Number of articles = 5 + 4 + 12
Number of articles = 21
Average = 14,250 ÷ 21
Average = $678.57
Thus, the average spent per article is $678.57.
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Kelvin is building a gazebo and wants to brace each corner by placing a 10" piece of wood
diagonally as shown. How far from the corner should he fasten the wood if he wants the distances from the corner
to be equal? Approximate to the nearest tenth of an inch.
Answers
Kelvin should fasten each piece of wood approximately 7.1 from the corner.
What is the Pythagoras theorem?The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
a² + b² = c²
a = b
So,
2a² = c²
a² = 100/2
a = [tex]\sqrt{50}[/tex]
a = 7.1
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[tex] \huge \quad \: \bf \: Question : [/tex]
Differentiate the following equations and write coefficients of terms in form of English alphabets. [ like : 12 = L ]
1st :
[tex] \rm \dfrac{d}{dx} ({x}^{2} ) = [/tex]
Required English Alphabet = ?
2nd :
[tex] \rm \dfrac{d}{dx} (3{x}^{5} ) = [/tex]
Required English Alphabet = ?
3rd :
[tex] \rm \dfrac{d}{dx} (9{x}^{2} ) = [/tex]
Required English Alphabet = ?
4th :
[tex] \rm \dfrac{d}{dx} (3{x}^{3} ) = [/tex]
Required English Alphabet = ?
5th :
[tex] \rm \dfrac{d}{dx} (2{x}^{7} ) = [/tex]
Required English Alphabet = ?
6th :
[tex] \rm \dfrac{d}{dx} ({x}^{7} ) = [/tex]
Required English Alphabet = ?
Next : Write the Alphabets in order of questions ~
Answer should be in this format :
" (1st 2nd 3rd 4th 5th 6th) "
Answers
The differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].
Given that, [tex]\frac{d}{dx}x^{2}[/tex].
What is the differentiation?The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.
Differentiate using the Power Rule which states that [tex]\frac{d}{dx}x^{n}=nx^{n-1}[/tex].
1) [tex]\frac{d}{dx}x^{2}=2x[/tex]
2) [tex]\frac{d}{dx}(3x^{5})=15x^4[/tex]
3) [tex]\frac{d}{dx}(9x^{2})=18x[/tex]
4) [tex]\frac{d}{dx}(3x^{3})=9x^{2}[/tex]
5) [tex]\frac{d}{dx}(2x^{7})=14x^6[/tex]
6) [tex]\frac{d}{dx}(x^{7})=7x^6[/tex]
Therefore, the differentiation of the given equations is [tex]\frac{d}{dx}x^{2}=2x[/tex].
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what does p equal [tex]\frac{p}{4} - -15 = 19[/tex]
Answers
The value of p from the given equation is 136.
The given equation is p/4 - 15 = 19.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is solved as follows:
Transpose -15 to other side of the given equation
That is, p/4 = 19+15
⇒ p/4 = 34
Cross multiply 4 to 34
We get p = 34 × 4
⇒ p = 136
Therefore, the value of p from the given equation is 136.
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I need help please !!!
Answers
Answer: can you guys help me too
Step-by-step explanation:
Together, Nora and Addison own 152 shares of stock. Nora has 4 less than three times Addison's amount. How many shares does each girl have?
A parachutist descends 70 feet in 5 seconds. What integer represents the parachutist's change in height in feet per
second?
Answers
An integer is any number that contains both positive and negative numbers, including zero. The change in elevation exists 14 feet per second.
What is meant by an integer?An integer is any number that contains both positive and negative numbers, including zero. It does not contain fractional or decimal parts.
Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.
A parachutist descends 70 feet in 5 seconds.
To find this simply divide the numbers as shown: 70 feet in 5 seconds
70 / 5 = 14 seconds
Therefore, the change in elevation exists 14 feet per second.
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Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). find the product. the coefficient of the product of (-5xy2) and (-4x2y) is . the exponent of x in the product is , and the exponent of y is .
Answers
The coefficient of the product of (-5 x y²) and (-4 x²y) exists 20 .
The exponent of x in the product exists 3, and the exponent of y exists 3.
What is meant by exponent?A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn denoted that m has been multiplied by itself n times if m exists a positive number and n exists its exponent.
We exists to determine the product of (-5 x y²) and (-4 x² y)
The product of (-5 xy²) and (-4 x²y) can be defined as shown below
-5xy² × -4x² y
simplifying the above equation, we get
-5 × -4 × x × x² × y² × y
⇒ 20 × x³ × y³
⇒ 20 x³ y³
The product of the given expressions is 20 x³ y³
Therefore, the coefficient of the product is 20.
The exponent of x in the product exists 3 and the exponent of y exists 3.
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Which of the following functions translates the graph of the parent function f(x)=x^2 vertically up 3 units?
Answers
Solution
The parent function
Now
translates the graph of the parent function f(x)=x^2 vertically up 3 units
The final answer
Option A
[tex]g(x)=x^2+3[/tex]In gym class, a student can do 40 sit-ups in 60 seconds and 100 sit-ups in 150 seconds.
Graph the proportional relationship.
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 30
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30
Answers
By using the linear equation y=3x we draw the graph for proportional relationship.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same
the graph of any proportional relationship is characterized by a straight line with data points passing through the origin (0, 0).
By the definition of proportional relationship of graph, we can reduce relationship between the values on the x-coordinate and y-coordinate of the given graph
As they are proportional and represented by euation
y = 3x
Where, x represent the time and y represent the number of sit-ups.
Hence by using the linear equation y=3x we draw the graph for proportional relationship.
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What is the remainder of (x3+5x2−32x−7)÷(x−4) ? Enter your answer in the box.
Show all work please!
Answers
The remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.
As given in the question,
Dividend of the given division is equal to : ( x³+5x²−32x−7 )
Divisor of the given division is equal to : ( x−4 )
Divide the given dividend ( x³+5x²−32x−7 ) by divisor ( x−4 ) remainder we get,
( x³+5x²−32x−7 )
= x³ -4x² +9x² -36x +4x-16 +9
= x²(x-4) + 9x (x-4) +4(x-4) + 9
= (x-4)(x² +9x +4) + 9
Quotient is equal to (x² +9x +4)
Remainder is equal to 9
Therefore, the remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.
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F(x)= 2|x-5|+7 write a function reflection of x-axis
Answers
Answer: -2Ix-5I - 7
Step-by-step explanation:
all you need to do is Multiply the entire equation by -1
what is the value of n in the equation n = 0n = 2n = 4n = 6
Answers
The value for the n is undefined, 3, 3/2.
In this problem, we are dealing with equations where equations are mathematical statements containing two arithmetical expressions on both sides of the sign of 'equal to (=)'. It appears the relationship of equality between the expression composed on the left side with the expression composed on the proper side. In each condition we have, (L.H.S = R.H.S), left hand side = right-hand side. Conditions can be fathomed to discover the value of an unknown variable representing an unknown amount. If there's no 'equal to' symbol within the statement, it implies it isn't a condition. It'll be considered as an expression. Equations with 1 as the degree are considered linear equations. Equations with degree 2 are quadratic equations and the last Equations with degree 3 are known as cubic equations.
So , for 0n = 6 , it undefined as the L.H.S becomes zero
for 2n=6 => n=6/2=3
for 4n=6=> n=6/4=3/2
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Answer:
n = 2
Step-by-step explanation:
edge
Use the scatter plot to answer the question. The points in the scatter plot rapidly decrease from x=negative 10 to x=0, then the remaining points cluster around the line y=negative 6.© 2018 StrongMind. Created using GeoGebra. Which type of function best models the data in the scatter plot?A. exponentialB. quadraticC. linearD. square root
Answers
It looks exponential
A