Answers
Answer:
measure of Arc FJ is 80 degrees.
Step-by-step explanation:
Key skills: High School Geometry, One Variable Equations, Angles
1)Let's look at the diagram thoroughly
2) The 2 thing we can get are:
Angle HKG and Angle IKJ are vertical angles (which means they are congruent). Angle HKG + Angle GKF + Angle FKJ = 180 (Since they all form a straight angle - A straight angle is 180 degrees in measure.)3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)
We can then solve for x by making the equation: 3x-22=x+104) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22
3x-x= 2x 10+22=32
2x=32
Divide by 2 on both sides and x=16.
5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ = 180
What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ
6) We can make an equation: x+10+74+Angle FKJ=180
Solve this --> x=16, so substitute it in16 + 10 + 74 + Angle FKJ=180100 + Angle FKJ = 180Angle FKJ = 80 degreesIf Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.
Hope you understood! Have a Nice Day! :D
Related Questions
Write the following logarithmic expression as a single logarithm with coefficient 1. log9 − 2logk log (StartFraction 9 Over k squared EndFraction) log (9 k squared) log (StartFraction 81 Over k squared EndFraction) log (StartFraction 9 Over 2 k EndFraction)
Answers
Answer:
The answer is A.log(9/k^2)
Answer:
A)
Step-by-step explanation:
if f(x)=3x-2 find f-1 (13)
Answers
Answer:
Firstly
f(x)=3x-2=y then
Interchanging x and y we get
x=3y-2
x+2=3y
y=(x+2)/3
f-1(x)=(x+2)/3
f-1(13)=(13+2)/3
f-1(13)=5
A function is defined as a relation between a set of inputs having one output each.
The inverse of function f(x) = 3x - 2 is:
y = (x+2)/3
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
We have,
f(x) = 3x - 2
The inverse of f(x):
step 1:
Put f(x) = y
y = 3x - 2
step 2:
switch x and y
x = 3y - 2
step 3:
solve for y
x = 3y - 2
x + 2 = 3y
y = (x+2)/3
Thus,
The inverse of f(x) = 3x - 2 is y = (x+2)/3
Learn more about functions here:
brainly.com/question/17440903
#SPJ2
Help me ASAP I’ll mark you as a BL Question attached below
Answers
Answer:
I think it might be A if not then its be
Step-by-step explanation:
sorry if its not right
3 and 3/4 + 1 and 1/4
Explanations on how I can get my answer please?
Answers
Answer:
The answer for this question is 5
Simplify (6^2)(3^3)(3*6)^4
Answers
Answer:
102036672.............
f (x) = -x2 + 8x - 11
h(x) = -x-7
find f (9) + (-14)
Answers
how to slove liner equation?
for example: 3×−2=−7
Answers
Answer:
x = -5/3
Step-by-step explanation:
3x - 2 = -7
Add 2 to both sides
3x - 2 + 2 = -7 +2
3x = -5
Divide both sides by 3
3x/3 = -5/3
x = -5/3
Write 1/2 as a percent
Answers
Answer:
50%
one half is equivilent to 50%
The sum of my digits is equal to 5
Answers
110 cm
50 cm
140cm
90 cm
-110 cm -
70 cm
Answers
Answer:
probably is 140 or is it just the whole question?
please help me please will give brainliest to anyone
Answers
Answer:
D
Step-by-step explanation:
Percent = Part/Whole x 100%
Percent = 1/24 x 100%
Percent = 4% Rounded
Jack is x years old.
Eric is three times Jack's age.
Mary is 50 years old.
She is 2 years older than Eric.
How old is Jack?
(2 marks)
Answers
Answer:
Jack is 16
48 divided by 3= 16
Eric is 48
50-2=48
The first step is to find the age of Eric, who is 2 years younger than Mary. Mary is 50 years old, so 50-2=48. Since Eric is three times Jacks age, we have to divide 48 by 3 to find his age. This comes to 16.
(50-2)/3=x
fifteen more than twice a number is -23
Answers
Answer:
15+2x=-23
Step-by-step explanation:
Answer:
15+2x=-23
Step-by-step explanation:
What is the amount of tax on a pair of boxing
gloves that costs $68.40, if the tax rate is 9%?
Answers
Answer:
68.40/100 X 109 = 74.56
74.56-68.40 = 6.16
total tax = $6.16
Name the property. (6x4) x3 = 6x(4x3)
Answers
Answer:
Associative
Step-by-step explanation:
When three or more numbers are multiplied, the product is the same regardless of the way in which the numbers are grouped.
Need help ASAP both a and b please.
Answers
Answer:
A) In 4 hours the tempature would both be the same
B) The tempature then would be 3 degreees Fahrenheit
Step-by-step explanation:
SO for the first step just make a list
In my format
x (hour): Coldspit and Frostberg in temperature
1st hour: -4.5 and 15
2nd hour: -2 and 11
3rd hour: 0.5 and 7
4th hour: 3 and 3
Answer:
after 52/3 hours
temparature will be at -151/3
Step-by-step explanation:
y = -2.5x - 7
y = -4x + 19
-2.5x - 7 = -4x + 19
4x - 2.5x = 19 + 7
1.5x = 26
1.5x = 26
3/2x = 26/1
2/3 x 3/2x = 26/1 x 2/3
x = 52/3
y = -4x + 19
y = -4(52/3) + 19
y = -208/3 + 19
y = -208/3 + 19/1
y = -208/3 + 57/3
y = -151/3
A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 4 large boxes and 8 small boxes has a total weight of 105 kilograms. Delivery of 2 large boxes and 3 small boxes has a total weight of 46 kilograms. How much does each type of box weigh?
Answers
Answer:
x = 13.25 kg
y = 6.5 kg
Step-by-step explanation:
Let
Large box = x
Small box = y
4x + 8y = 105 (1)
2x + 3y = 46 (2)
(Multiply (2) by 2 to eliminate x
2x + 3y = 46 (2) ×2
4x + 6y = 92 (3)
4x + 8y = 105 (1)
Subtract (3) from (1)
8y - 6y = 105 - 92
2y = 13
y = 13/2
y = 6.5kg
Substitute y = 6.5 into (2)
2x + 3y = 46 (2)
2x + 3(6.5) = 46
2x + 19.5 = 46
2x = 46 - 19.5
2x = 26.5
x = 26.5/2
x = 13.25 kg
Read this excerpt from Immigrant Kids, by Russell Freedman.
Edward Corsi, who later became United States Commissioner of Immigration, was a ten-year-old Italian immigrant when he sailed into New York harbor in 1907:
My first impressions of the New World will always remain etched in my memory, particularly that hazy October morning when I first saw Ellis Island. The steamer Florida, fourteen days out of Naples, filled to capacity with 1600 natives of Italy, had weathered one of the worst storms in our captain's memory; and glad we were, both children and grown-ups, to leave the open sea and come at last through the Narrows into the Bay.
My mother, my stepfather, my brother Giuseppe, and my two sisters, Liberta and Helvetia, all of us together, happy that we had come through the storm safely, clustered on the foredeck for fear of separation and looked with wonder on this miraculous land of our dreams.
The purpose of this excerpt is to help readers understand
A) the excitement and relief immigrants felt upon arriving in America.
B) that the Narrows into the Bay was a very dangerous passage.
C) that Italian children were very sad after leaving their home country.
D) the weather the immigrants experienced on that day in October 1907.
Answers
Answer:
the answer is A
Step-by-step explanation:
Answer:
The correct option is a), that is, the excitement and relief immigrants felt upon arriving in America.
Exp lanation:
The excerpt represents the horrifying situation that immigrants were facing while sailing to America. The experience of heavy storm made their families worried about their future and separation.
Therefore, after reaching the land, they were happy to be safe together on their dream land.
-7 - 12 = - 7х + 3(-4 - x)
Answers
Answer: x = -1.8
Step-by-step explanation:
-7 - 12 = -7x + 3 (-4 - x)
-7x + 3 (-4 - x) = -7 - 12
P.S I switched the order cuz I find it easier to solve this way.
-7x + 3 (-4 - x) = -7 - 12
Distribute
-7x - 12 - 3x = - 7 + 13
Add 12 to both sides
-7x - 3x = -7 + 13 + 12
Combine like terms
-10x = 18
Divide both sides by -10
x = -1.8
Write2.1 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answers
Answer:
2 1/10 and 21/10
Step-by-step explanation:
2.1 is 2 + 0.1 when expanded.
2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be 2 1/10.
The improper fraction is just 21/10 (convert the mixed number into improper form).
Converting from mixed number to improper: Multiply the number in the front (in this case 2) by the denominator.
That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21.
21 would be our numerator and the denominator would stay the same (10).
21/10 is the improper form.
Find the sum and express it in simplest form (-y^3-y+1)+(-7y^3-6y-5)
Answers
Answer:
[tex]( - {y}^{3} - y + 1) + ( - 7 {y}^{3} - 6y - 5) \\ = ( - 1 - 7) {y}^{3} - (1 + 6)y + (1 - 5) \\ = - 8 {y}^{3} - 7y - 4[/tex]
There are 3 blue marbles, 4 red marbles, and 5 yellow marbles in a bag. Julie pulls one marble out at a time and does not replace it. What is the probability that the first two marbles she pulls from the bag are blue?
Answers
Answer:
1/22
Step-by-step explanation:
P (blue, blue) = 3 x 2 = 6 or 1/22 simplified
12 11 132
Does table represent a linear or nonlinear function?
Answers
Answer:
this table is linear
Step-by-step explanation:
it's linear because there is a common difference of -4
Simplify the radical image (1)
Answers
о G Kelly opened a bank account that earns 1.2% simple interest each year. After 7 years, Kelly will earn $126 in interest. How much did Kelly deposit when she opened the account?
Answers
Answer:
$1,512
Step-by-step explanation:
1.2% of $126 = $1,512
I really dont l know if this is right but I think it is
Answer:
$15
Step-by-step explanation:
Interest=principle X interest rate X the time(In this case years)
So, $126= p X 1.2% X 7
We first multiply 1.2% by 7 and get .084, then we move the decimal to places to the right and get 8.4.After that we divide $126 by 8.4 and you should get 15.So thats how I got $15 but then again I may be wrong.Hope this works for you =)
5x2 + 34x – 7 = 0
solve by factoring
Answers
Answer:
[tex]x=\frac{1}{5} , -7[/tex]
Step-by-step explanation:
Hope this helps!
if the original quantity is 14 in the new quantity is 24 estimate the percent change
Answers
Answer:
[tex]\% \: change = \frac{(24 - 14)}{14} \times 100 \\ = \frac{10 \times 100}{14} \\ = \frac{1000}{14} \\ = 71.43\%[/tex]
Percentage change is 71.43%.
Perhatikan gambar berikut!
a.Buktikan bahwa AABC dan AEDF
kongruen (sama dan sebangun)!
b. Tentukan pasangan sudut yang sama
besar!
Answers
Answer:
a is the correct answer mh
1. Solve for x.
4x + 12 = 60
2. Solve for x.
2x + 5 = 21
3. Solve for x.
4x - 7 = 5
4. Solve for x.
3b - 4 = 11
5. Solve for x.
x3 = 33
6. Solve for x.
⅓ x + 6 = -8
7. Landon has 42 candies. He shares them with his friend Fred in a ratio of 3:5. How many candies does each person get?
8. Simplify the expression.
3x - 2 + 7 - 7x + 9
9. Simplify the expression.
⅓ (x - 3) + 12x
10. Jonah put in 12 colored tiles in a jar. There are 3 red tiles, 7 blue tiles, and 2 yellow tiles. What is the probability that he will select a red tile first, then select a blue tile next without replacing the first tile?
11. Tia is painting her house. She paints 34 ½ square feet in ¾ of an hour. At this rate, how many square feet can she paint each hour?
12. Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 bags?
Answers
1.)x=12 2.)x=8 3.)x=3 4.)x/b=5 5.)x=11 6.)x=-4 7.) about 25 8.)-4x+15 9.) 37/3 x +1 10.)63.74% chance 11.) 45 square feet 12.)26.66665
Hope this helps
Have a great day/night
pls help out, what is the slope?
Answers
Answer:
Slope is 1 unit
I think so as the line is accurately tangential to the circumcircle by diagonal of a unit graph and hence diameter coincides with diagonal.