Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary.
Answers
Given
Find
showing that angles H and F are supplementary.
Explanation
Let angle F , which is subtended by minor arc GHE.
so , angle F = half of angle GHE by subtended angle theorem.
similarly , angle H is the angle subtended by major arc GFE.
so , angle H = half of the angle subtended by major arc.
since , total angle around J is 360 degree.
as we know , the sum of angle subtended by minor arc and major arc is 360 degree.
so , angle F + angle H = 1/2(360) = 180 degree.
Final Answer'
Hence , H and F are supplementary angles.
Related Questions
Hillsboro Street and Manchester Avenue intersect. If the diagonal distance across the
intersection is 73 feet and Hillsboro Street is 55 feet wide, how wide is Manchester Avenue?
Answers
The intersection's two opposing corners are 91.40 feet apart.
Since the given data are:
Width of the Hillsboro Street = 73 feet
Width of Manchester Avenue = 55 feet
When Hillsboro Street and Manchester Avenue cross, calculate the distance between the intersection's two opposing corners,
Because the junction of Hillsboro Street and Manchester Avenue created a right-angled triangle:
Using Pythagoras's Theorem,
H² = B² + P²
H² = (55)² + (73)²
H² = 3025 + 5329
H² = 8354
H = √8354
H = 91.40
As a result, the distance between the intersection's two opposing corners is 91.40 feet.
Learn more about Pythagoras's Theorem at
https://brainly.com/question/15648030?referrer=searchResults
#SPJ9
9 c + 32 calculates the
The formula F(C) = 5
temperature in degrees Fahrenheit, given a
temperature in degrees Celsius
You can find an equation for the temperature in
degrees Celsius for a given temperature in
degrees Fahrenheit by finding the function's?
Answers
-15° = C is a given temperature in degrees Fahrenheit by finding the function's.
What is the purpose of Fahrenheit?
Temperature measurements are made in Fahrenheit. It is based on the Fahrenheit scale, which was first put forth by physicist Daniel Gabriel Fahrenheit in the 1700s. According to the Fahrenheit scale, water has a boiling temperature of 212 degrees Fahrenheit, while ice melts at 32 degrees.Water freezes at 32 degrees Fahrenheit and boils at 212 degrees on the Fahrenheit temperature scale. The sign ° F is used to denote it.we have a value for F, and so we use that to find C. Insert F's value into the equation:
5 = 9/5 C + 32
Subtract 32 from both sides:
5 - 32 = 9/5 C + 32 - 32
-27 = 9/5 C
Now we multiply both sides by 5/9
-27 * 5/9 = 9/5 C 5/9
-27 is divisible by 9:
-3 * 5 = C
-15° = C
Learn more about Fahrenheit
brainly.com/question/516840
#SPJ10
Answer:
1. Inverse
2. 5/9 and 160/9
3. All of them
Step-by-step explanation:
Please help me. I tried every answer possible. Due today.
Answers
The rate of change of what the cab company charges is; $3.3 per mile
What is the rate of change?The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;
Rate of change here is;
Slope = (y₂ - y₁)/(x₂ - x₁)
We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.
Thus;
Base fee = $2
Rate of change = 2 + 1.1
Rate of change = $3.3 per mile
Read more about Rate of Change at; https://brainly.com/question/8728504
#SPJ1
pls help me answer this "23 miles is how many kilometers Round your answer to the nearest tenth." TY
Answers
Answer:
23 miles is 37 kilometers
My brain can’t think straight and I’m trying to figure out the difference in the solution to a graph of a linear equation and the solutions to the graph of a linear inequality
Answers
For a linear equation the solutions are on the line, while for inequalities the solutions are above or below the line (sometimes the line is also included).
What are the differences?When we have a linear equation of the form:
y = line
The solutions on the graph of this equation are the points on the line.
Now, for inequalities like:
y > line
or
y < line.
The solutions are all the points above (or below) the line itself.
Finally, for inequalities like:
y ≥ line
y ≤ line
The solutions are above (below) the line and the line itself.
Learn more about inequalities.
https://brainly.com/question/24372553
#SPJ1
Need help asap
A. h(x)=6-f(x)
B. h(x) = f(x)-6
C. h(x)=f(x) +6
D. h(x)=6f(x)
Answers
The equation of the graph after the translation is h(x)=f(x)+6
The process of transforming an equation or existing graph into a new graph is known as graph translation.
Changing algebraic equations is a typical algebraic problem. A translation modifies the graph of a parent function. Dilations, reflections, and translations are the three distinct types of translation.You can adjust a function's x values horizontally or its y values vertically (affects the x-values).We understand that in order to represent the translation by the predetermined amount, the x- and y-coordinates must be changed.Since the graph for h(x) has moved to the left by 6 units as we can see in the graph. Hence the co-ordinates will also change by 6 units . hence the graph is translated to the left by 6 units.
Therefore the equation after the translation is given by h(x)=f(x)+6 .
To learn more about translation visit:
brainly.com/question/12463306
#SPJ1
i'll give brainliest
Answers
Answer:
[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]
Step-by-step explanation:
Fraction
[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]
The numerator of a fraction is the number (or expression) above the fraction bar.
The denominator of a fraction is the number (or expression) below the fraction bar.
[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]
If a number (or expression) is divided by zero, the quotient is undefined.
If zero is divided by a number or expression, the quotient is zero.
Therefore:
[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]
Make x the subject of the formula. 5d cubed= d squared (2b-3cx)
Answers
The value of x = [tex]\frac{2b-5d}{3c}[/tex] .
What is a equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
The given equation is
[tex]5d^{3}=d^{2}(2b-3cx)[/tex]
5[tex]d^{3}= d^{2}2b-3cd^{2}x[/tex]
3c[tex]d^{2}x = d^{2}2b-5d^{3}[/tex]
x = [tex]\frac{d^{2}(2b-5d) }{3cd^{2} }[/tex]
x = [tex]\frac{2b-5d}{3c}[/tex]
Hence, The value of x = [tex]\frac{2b-5d}{3c}[/tex] .
To learn more about equation from the given link:
https://brainly.com/question/13763238
#SPJ10
What is the US GDP for the first quarter and second quarter of 2020? What is the personal consumption expenditures for the first quarter and second quarter of 2020?
Answers
The US GDP for the first quarter of 2020 was 21.54 trillion dollars, and the US GDP for the second quarter of 2020 was 19.49 trillion dollars.
The personal consumption expenditures for the first quarter of 2020 are 13.02 trillion dollars.
the personal consumption expenditures for the second quarter of 2020 are 11.82 trillion dollars.
What are the personal consumption expenditures?
Personal consumption expenditures are the price that citizens of the US pay for goods and services. This is a crucial index that indicates inflation or deflation and consumer behavior over some time.
To know more about personal consumption expenditures and GDP visit,
https://brainly.com/question/15682765?referrer=searchResults
#SPJ9
Estelle and Carlos will be hosting a party and will buy 6 pies for their guests. Two lemon meringue pies cost $3 less than 4 blueberry pies. Three lemon meringue pies cost$9 more than 3 blueberry pies. How much does each type of pie cost?
Answers
The cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.
Given that, Estelle and Carlos will be hosting a party and will buy 6 pies for their guests.
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 =.
Let the cost of lemon meringue pies be L and the cost of blueberry pies be B.
Now, 2L = 4B - 3 and 3L= 3B + 9
Multiply the equation 2L = 4B - 3 by 3
6L = 12B - 9 --------(I)
Multiply the equation 3L= 3B + 9 by -2
-6L = -6B - 18 --------(II)
Add equation (I) and (II)
6L+(-6L) = 12B - 9 + (-6B-18)
⇒ 0 = 6B - 27
⇒ 6B = 27
⇒ B = $4.5
So, cost of lemon meringue = 2L = 4×4.5 - 3
⇒ 2L = 18 - 3
⇒ 2L = 15
⇒ L = $7.5
Therefore, the cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
How do I solve number 4 and 5 to get the correct answer?
Answers
Answer:
4. (d)
5. (b)
Step-by-step explanation:
You want to apply the secant and chord rules to the circles given in the diagram.
The secant rule is "the product of distances from the point of intersection of secants to the two points of intersection of the secant with the circle is the same for both secants." A tangent can be considered to be a secant that has both points of intersection with the circle in the same place.
The chord rule is similar to the secant rule: "The product of distances from the point of intersection of the chords to their intersection with the circle is the same for both chords."
4.The diagram shows a tangent of length 12, so the product of distances to the two points of intersection with the circle is 12(12).
The secant has length 8 to the near point of intersection, and (x+8) to the far point of intersection. That product is the same as for the tangent:
8(x +8) = 12(12) . . . . . . matches choice D
5.One chord has lengths of 14 and x, so the product of those is 14x.
The other chord has lengths of 12 and 21, so the product of those is 12(21).
The product is the same for both chords, meaning ...
14x = 12(21) . . . . . . matches choice B
__
Additional comment
We have purposely tried to write the rules in "parallel" fashion, because we find them easier to remember that way. Considering a tangent to be a secant with the points of intersection with the circle merged means the same rule can be used for all three cases:
intersecting secants, a tangent intersecting a secant, and intersecting chords.Consider the equation:24 = x^2 - 4x + 31) Rewrite the equation by completing the square.Your equation should look like (x + c)^2 = d or (x – c)^2 = d.[ ]2) What are the solutions to the equation?Choose 1 answer:A) x=2 ± 5B) x = -2 ± √5C) x = 2 ± √5D) x = -2 ± √5
Answers
(x - 2)² = 25
Explanation:24 = x² - 4x + 3
rewritting:
x² - 4x = 24 - 3
x² - 4x = 21
using the completing the square:
coefficient of x = -4
square half the coefficient of x = (-4/2)² = (-2)²
Add the square half the cofficient of x to both sides of the equation
x² - 4x + (-2)² = 21 + (-2)²
taking out -4x:
(x - 2)² = 21 + 4
(x - 2)² = 25
The equation above is in the form (x + c)^2 = d or (x – c)^2 = d
7th grade students were asked to choose their
favorite color. The table shows the fraction of
students that choose each color. What DECIMAL
shows the difference between the most and least
favorite colors?
Color
Fraction
Red Yellow Blue Green
5/18
1/6
4/9
1/9
Answers
Answer:
Step-by-step explanation:
Of the 16 nurses in Doreen’s department, 12 are women and 4 are men. One of the nurses will be assigned at random to work an extra shift next week. Find the probability a woman nurse will be assigned the extra shift. Convert the fraction to a decimal.
Answers
Answer:
Step-by-step explanation:
there are 10 milliliters and 1 liter
a $52 video game is adversited for 20% of it sales tax is 6%
Answers
Answer:
39 dollars
Step-by-step explanation: 20 perrcent of 52
Arnold plants a tree sapling in his yard and measures its height every year. His measurements so far are shown in the scatterplot.
Answers
The equation of the scatter plot is y = 5/3x + 2 and the tree will be 18.7 feet in ten years
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the height of the tree?The information that completes the question is added as an attachment
From the scatter plot, we have the following points
(x, y) = (0, 2) and (6, 12)
The equation of the line is calculated as
y = (y2 - y1)/(x2 - x1) * (x - x1) + y1
Substitute the known values in the above equation
So, we have
y = (12 - 2)/(6 - 0) * (x - 0) + 2
So, we have
y = 5/3x + 2
In ten years, the value of x is
x = 10
So, we have
y = 5/3 x 10 + 2
Evaluate
y = 18.7
Hence, the height of the tree is 18.7 feet
Read more about scatter plot at
https://brainly.com/question/16920148
#SPJ1
please help brainliest to correct answer
Answers
Answer:
A, n = (8 - 7p)/m.
Step-by-step explanation:
mn + 7p = 8
mn = 8 - 7p
n = (8 - 7p)/m.
Please help and provide an explanation for why the answer is f(x) = -1/3x - 4
What is the equation of the line that passes through Point (-6, -2) and has a Slope of -1/3.
Answers
y=-1/3-4
Step-by-step explanation:
point slope form!
y-y=m(x-x)
with the point (-6,-2) and the slope (-1/3) replace the 2nd variables of each variable and replace m with the slope
y-(-2)=-1/3(x-(-6))
then solve that normally
y-(-2)=-1/3(x-(-6))
y+2=-1/3x -2
y=-1/3x-4
I didnt use officially math symbols but i hope you can still read it!
A store owner mixes 2 Ib of candy that costs x dollars per pound with 3 Ib of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.
Answers
We may determine the value of candy costs by solving a linear equation in which the answer is given as
x = $4.00.
How can you find out how much candy costs?We are aware that a shop owner blends two pounds of candy priced at x dollars per pound with three pounds of candy priced at $1.50 per pound. She asks $2.50 for the mixture.
The mixture's total weight is:Since the entire cost at the start must equal the total cost at the end, we can express the equation as 2lb + 3lb = 5lb.
2*x + 3*$1.50 = 5*$2.50
This linear equation for x may now be solved:
2*x = 5*$2.50 - 3*$1.50 = $8.00
x = $8.00/2 = $4.00
The sweet has a $4 price tag.
More information about linear equations:
https://brainly.com/question/11897796
#SPJ1
Here are the ingredients needed to make 12 biscuits.
Hamza has 375g of butter
200 g of sugar
675g of flour
Biscuits
To make 12 biscuits
Work out the greatest number of biscuits Hamza can make.
Optional working
125 g of butter
50g of sugar
175g of flour
Answers
With 350 gram of ingredients Hamza can make 3.36 wich is equivalent to 3 biscuits or [tex]3\frac{9}{25}[/tex] biscuits.
Given : To make 12 biscuits Hamza needs ; 375g of butter
200 g of sugar and 675g of flour .
thus the total amount of ingredients = 375 + 200 + 675
= 1,250 g
Thus to make 12 biscuits 1250 g is required.
By using unitary method we get :
1g will make 0.0096 biscuits
However to work out the greatest number of biscuits with 125 g of butter
50g of sugar and 175g of flour
will be 125 + 50 + 175 = 350 g
Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.
To know more about addition and subtraction visit:
https://brainly.com/question/26108964
#SPJ13
An equation is shown.
y-7= -4(x+6)
Complete the statements.
The equation rewritten in slope intercept form is [DROP DOWN 1].
The point [DROP DOWN 2] is on the graph of the line.
DROP DOWN 1?
Answers
Answers:
Slope intercept equation is y = -4x - 17
The point (-6, 7) is on the graph of the line.
====================================================
Explanation:
Let's solve for y
y - 7 = -4(x+6)
y - 7 = -4x - 24
y = -4x - 24 + 7
y = -4x - 17
It is now in slope intercept form y = mx+b
m = -4 = slope
b = -17 = y intercept
---------------
Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)
The (x1,y1) is a point the line goes through.
Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))
We can see that x1 = -6 and y1 = 7
Therefore, the point (x1,y1) = (-6,7) is on the line.
PLS HELP ME OUT MARKING BRAINLEIST
Answers
The side x = 104 unit and angle y = 74 °
What is a parallelogram?A quadrilateral is referred to as a parallelogram in geometry.
The opposite sides of a parallelogram are parallel and of equal length.
Rhombus, rectangle, and square are a few instances of parallelograms.
The special properties of a parallelogram is that the two opposing sides are both equal and parallel. Also the opposite angles are equal. And the angles inside the parallelogram on the same side , their sum is 180 degrees .
Given : A parallelogram ABCD.
Now in a parallelogram opposite sides are both equal and parallel.
So in this parallelogram ;
97 = x - 7
⇒ x = 97 + 7
⇒ x = 104 .
Also opposite angles of a parallelogram are equal.
⇒ y = 74 °
Thus the required solution is x= 104 degree and y= 74 degrees
To know more about parallelogram visit:
https://brainly.com/question/1563728
#SPJ13
Price-club sells a 12-ounce package of spaghetti noodles for $3.44 and Shop Mart sells a 2 1/2-pound box of spaghetti noodles for $8.35.
The unit price per ounce at Price-Club is $ and the unit price per ounce at
Shop Mart is $
0.28 0.21
0.30 0.20
0.29 0.19
Answers
The unit price per ounce at Price-Club is $0.29 per ounce and the unit price per ounce at Shop Mart is $0.21 per ounce.
What is the unit price?The unit price can be determined by dividing the total cost by the total ounce that is purchased.
Division is the process of putting a number into equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. The result of the division process is known as the quotient. Other mathematical operations include addition, subtraction and multiplication.
Unit price = total cost / total ounce sold
Unit price of Price-Club = $3.44 / 12 = $0.29 per ounce
In order to determine the unit price of Shop Mart, pounds have to be converted to ounces
1 pound = 16 ounces
To convert 2 1/2 pounds to ounces, multiply 2 1/2 by 16. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
16 x 2 1/2
16 x 5/2 = 40 ounces
Unit price of Shop Mart = $8.35 ÷ 40 = $0.21 per ounce
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
If f(x)=5x^2+3x-1How do I find what f(b) equals to?
Answers
Given:
[tex]f(x)=5x^2+3x-1[/tex]Required:
We need to find f(b).
Explanation:
Replace x =b in the given equation to find the value of f(b).
[tex]f(b)=5(b)^2+3(b)-1[/tex][tex]f(b)=5b^2+3b-1[/tex]Final answer:
[tex]f(b)=5b^2+3b-1[/tex]describe five occupations you want to do, and how you prepare for your dream job. And list the average salary, and then, combine your family cost per month, make a reasonable saving plan.
Answers
architecture, invest money so that I can pay fr fees
inverse of (1/4x) +2
Answers
Answer:
Inverse Function = 4x -8
Step-by-step explanation:
replace x with y and replace x with y
solve for y (meaning isolate y)
y=(1/4x) +2
x= (1/4y) +2
x-2 = 1/4y
multiply by 4 on each side to remove 1/4 from the right side
4(x-2) = y
y= 4(x-2)
y= 4x -8
Inverse Function = 4x -8
Write 41% as a fraction in simplest form.
Answers
Answer:
[tex]\frac{41}{100}[/tex]
Step-by-step explanation:
It cannot be simplified.
Ex: 50% can be simplified to [tex]\frac{1}{2}[/tex]
Please help me please I’m begging I WILL GIVE YOU BRAINLEST
Answers
The value of x is 4.
What is the Alternate Exterior Angles Theorem?When two parallel lines are intersected by a transversal, the exterior angles created on either side of the transversal are equal, according to the alternate exterior angle theorem.
The given angles are 2x + 19° and x + 23°.
As these pair of angles are created on the outer side of the parallel lines but on the other side of the transversal, they are alternate exterior angles.
Using the Alternate Exterior Angles Theorem,
2x + 19° = x + 23°
2x - x = 23° - 19°
x = 4
To know more about alternate exterior angles theorem visit:
https://brainly.com/question/25564520
#SPJ10
2/3 ÷ -5/6 yo nesecesito dividir
Answers
Answer:
-4/5
Step-by-step explanation:
2/3 * -6/5 = -4/5
:]
The number of gifts received each day of "the 12 days of christmas" is a function of the day ("on the fourth day of christmas, my true love gave to me: 4 calling birds, 3 french hetis, 2 turtle doves, and a partridge in a pear tree")
Answers
Answer: True, It it the same as any other function, it just has more numbers than a two number function
Step-by-step explanation: