Answers
Given:
A diagram.
To find:
An angle that is supplementary to ∠KFA.
Solution:
Supplementary angle: Two angles are called supplementary angles if they are lie on the same side of a straight line and their sum is 180 degrees.
From the given diagram, it is clear that ∠KFA lies on the intersection of lines HL and IK.
∠KFA and ∠DFA lie on the same side of a straight line IK.
∠KFA and ∠KFL lie on the same side of a straight line HL.
So, ∠DFA and ∠KFL are the angles supplementary to ∠KFA.
We need only one supplementary angle. So, we write either ∠DFA or ∠KFL.
Therefore, an angle that is supplementary to ∠KFA is ∠KFL.
Related Questions
Help me out to get this math problem solve
Answers
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
When Max got home from school yesterday, he went into the kitchen to get a snack. There was 3/4 pan of brownies on the counter. Max ate 1/4 of what was left. What part of the pan of brownies did Mark eat?
Answers
Answer:
1/2
Step-by-step explanation:
3/4-1/4=1/2
Write in index form
3x * 3x * 3x * 3x
Answers
This function can be used to determine the number of bacteria in a culture h hours after the culture was started.
f(x) = - 10(3)^h
Which statement best describes the meaning of the equation f(2) = 90 ?
Answers
Answer:
The statement means that after 2 hours, there are 90 bacteria in the culture.
Step-by-step explanation:
The number of bacteria after x hours is given by the function states in the exercise. We have that f(x) will be the number of bacteria after x hours.
Which statement best describes the meaning of the equation f(2) = 90 ?
The statement means that after 2 hours, there are 90 bacteria in the culture.
7 - 6a = -5 -8a solve please
Answers
a=-5/2
Step-by-step explanation:
-6a=-5-8a
-6a+8a=-5-8a+8a
2a=-5
a=-5/2
Answer:
a = -6
7 -6a = -5 -8a
- 6a = - 5 - 8a - 7
- 6a + 8a = - 5 - 7
2a = - 12
2a/2 = - 12/2
a = -6
Four sisters are all 2 years apart in age. The
total of their ages is equal to 36 years. How
old is the youngest sister
Answers
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Subtract. Simplify (or reduce) your answer, if necessary.
2 1/5 - 5/6 =
Answers
Answer:
2 1/5 - 5/6 = 41/30
Step-by-step explanation:
Turn the denominator to be the same because if the denominator is not the same so you can't subtract neither can you add.
Next find the least common multiple of both denominator (5, and 6) and ask yourself what time the denominator would give you the least common multiply you got.
1/5 x 6/6 = 6/30 and 5/6 x 5/5 = 25/30
Your expression now would be 2 6/30 - 25/30
You can't subtract 6 from 25 so you have to turn the proper fraction into a improper fraction
2 6/30 = 2 x 30 + 6 = 66/30. 25/30 = 0 x 0 + 25 = 25/30.
Your new expression would be:
66/30 - 25/30
Now you can subtract 66 - 25 and you get 41
Therefore the correct answer is 41/30 you can not simplify the answer because the numerator is a odd number and the denominator is a even number.
what is 3 6/7 times 4 2/28
Answers
Answer:
15.7040816327
Step-by-step explanation:
Answer:
it is 15 69\98 hope this helps!!
Step-by-step explanation:
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answers
Answer:
Step-by-step explanation:
The answer is (A)
Point A is in Quadrant III. The ordinate in this point is _______.
A. both – and +
B. negative (-)
C. positive (+)
D. zero
Answers
Answer:
if im right its negative
Negative I’m pretty sure sorry if I’m wrong
The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?
Answers
Answer:
x= 2,180
x= number of adult tickets sold
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adult tickets sold
y= number of children tickets sold
5.5x + 3.5y = 22,210
x + y = 5,100
Now, we isolate one variable in a formula and substitute its value in the other:
x= 5,100 - y
5.5*(5,100 - y) + 3.5y= 22,210
28,050 - 5.5y +3.5y = 22,210
2y= 5,840
y= 2,920
x= 5,100 - 2,920
x= 2,180
How much tip would you give a driver who charged you $15.60, and you wanted to tip him 10%? asap
Answers
Answer is $1.56=10/11*15.60
Answer:
In total its 17.16 but the tip is 1.56
Step-by-step explanation:
Trust me
It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?
Answers
Answer:
$25.50
Step-by-step explanation:
Answer:
(40)(15/100)=6
(40)(25/100)=10
10+6=16
orginal price at 40
After discounts 16
40-16=24
so you can buy it in 24$
Hope it helped you
If a room has a length of 15 feet, then what is the length in yards? Hint: 3 feet= 1 yard
Answers
Answer:
5 yards
Step-by-step explanation:
Given;
1 yard = 3 feet
The length of a room is 15 feet
Find;
The length of the room in yards
Set up a proportion;
[tex]\frac{1yard}{3feet}=\frac{x-yards}{15feet}[/tex]
Solve;
x = 5 yards
Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012
Answers
Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
If an angle has a measure of x radians, what is the measure of the angle in degrees?
 degrees
Write a function ff that determines the degree measure of an angle in terms of the radian measure of the angle, x.
f(x)=
Answers
Answer:
Step-by-step explanation:
2π radians = 360°
x radians · 360°/(2π radians) = (180x/π)°
f(x) = 180x/π
The measure of the angle in degrees would be (180x/π)° and the function would be f(x) = 180x/π which determines the degree measure of an angle in terms of the radian measure of the angle x.
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Given that an angle has a measure of x radians,
So the measure of the angle in degrees
Since 2π radians = 360°
Therefore x radians · 360°/(2π radians)
= (180x/π)°
A function f represents the degree measure of an angle in terms of the radian measure of the angle, x.
⇒ f(x) = 180x/π
Hence, the measure of the angle in degrees would be (180x/π)° and the function would be f(x) = 180x/π which determines the degree measure of an angle in terms of the radian measure of the angle x.
Learn more about the function here:
brainly.com/question/12431044
#SPJ2
Which equation is graphed in the picture.
PLEASE HELP!!!!!
Answers
Answer:
2x + 3y = 6
Step-by-step explanation:
A dog eats 2/5
of a bag of dog food in ten days. How many bags of
food will the dog eat in 12 weeks? Express your answer as a decimal.
Answers
the formula y=12x converts x feet to y inches. Rewrite the formula to convert y inches to x feet
Answers
Answer:
x=y/12
Step-by-step explanation:
I took the variable and flipped it. Instead of solving for y inches, I solved for x feet.
C= 3x2 + 10x - 32.7
Answers
Answer: True
Step-by-step explanation:
3 x 2 = 6
12.6 = 6x
6x = 5y
5y = 32
+
Answer:
C is -321 I hope this helps ^^
Urgent!!!! Solve 3∣∣x+2∣∣<12.
Graph the solutions on the number line.
Answers
Step-by-step explanation:
First, you have to solve the inequality of x :
| x + 2 | < 12
x + 2 < 12
x < 10
AND
- x - 2 < 12
- x < 14
x > - 14
Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.
Please help solve for X and AB.
Answers
Answer:
x=3 and AB=20
Step-by-step explanation:
If CB and BD are equal segments then you can solve for x by solving for
3x+6=8x-9
3x+15=8x (Add 9 to both sides)
15=5x (Subtract 3x from both sides)
x=3 (Divide 5 by both sides)
To find AB, substitute 3 and x
7(3)-1
21-1
20
You have 60 teaspoons of peppercorns. You need 0.25 teaspoons to make one serving of beef brisket. How many servings can you make?
Answers
Answer:
One Serving - 1/4 teaspoon
240 Serving - 60 teaspoon
plz mark as brainliest
y = 2x + 4
and
y = 2x - 8
Solve the systems by substitution
Answers
Answer:
-x - y - z = -8 ........ (1a)
-4x + 4y +5z = 7 ..... (2a)
2x + 2x = 4 .......... (3a)
since (3a) a is an equation solely in x make x the subject of the equation
2 ( x + x) = 4
divide both sides by 2
(x + x) = 2
2x = 2
x = 1 ....... (3b)
substitute x in (3b) for x in (1a)
-(1) - y - z = -8
make y the subject of the equation
-y - z = -8 + 1
-y = -7 + z
y = 7 - z ..... (1b)
substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)
-4(1)+ 4( 7 - z ) +5z = 7
- 4 + 28 - 4z + 5z = 7
-24 + z = 7
z = 7 + 24
z = 31
By using (1a) solve for y
-(1) - y - (31)= -8
-1 - y - 31 = -8
y = -1 - 31 + 8
y = -24
∴ the solutions of the system are x = 1 ; y = -24 ; z = 31
Hope this helps!!!!!!!
//////////////////////////////////////////////////////////////////////////////////////////////////
Please help if you know the answer only!!!
Answers
Write an equation to determine the total length in kilometers (h)(h)left parenthesis, h, right parenthesis of Josh's hike.
Answers
Answer:
Step-by-step explanation:
H
PLEASE HELPPP!!!!
A landscape company, Patio Town, told William it would cost $3,200 to build a new patio in his backyard.
The materials needed make up 40% of the total cost.
The expense of hiring workers makes up 60% of the total cost.
William decided to do all the work himself and to buy all the materials from Patio Town. How much did William pay Patio Town for materials?
Answers
william payed patio town $1,280 for the materials
my teacher would like me to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :) *the ratios are to be turned into fractions.*
Answers
Answer:
84
Step-by-step explanation:
52%of math problem are pointless.
52%of math problem= pointless
52%of 175
(52/100)×175
91=pointless
math problem - pointless =non pointless
175 - 91 = 84
PLEASE HELP! The avenues in a particular city run north to south and are numbered consecutively with 1st Avenue at the western border of the city. The streets in the city run east to west and are numbered consecutively with 1st Street at the southern border of the city. For a festival, the city is not allowing cars to park in a rectangular region bordered by 6th Avenue to the west, 10th Avenue to the east, 11th Street to the south, and 13th Street to the north. If x is the
avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park?
Answers
Answer: D
Step-by-step explanation:
Just did it
I will give brainiest to whoever answers correctly !!
Answers
Answer:
3.82% (approximately)
Step-by-step explanation: