Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.
Answers
The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°
The diagram above represents a cyclic quadrilateral.
A cyclic quadrilateral has all it vertices on the circumference of the circle.
Therefore,
Opposite angles are supplementary. This means they add up to 180 degrees.
Therefore,
142° + y° = 180°
subtract 142 from both sides of the equation
142 - 142 + y = 180 - 142
y = 38°
learn more about circle theorem here: https://brainly.com/question/24795394
Related Questions
What is the value of x?
Answers
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
option d is correct[tex]\large\huge\green{\sf{Explanation:-}}[/tex]
The sum of all three angle of triangle is180°[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]
Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answers
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12
Answers
Answer:
4(x+2) = 4x + 8
Step-by-step explanation:
because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal
4x+8=4x+8
Both side is equal no matter what.
Colleen is searching online for airline tickets. Two weeks ago, the cost to fly from Orlando to Denver was $220 . Now the cost is $320 . What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answers
Answer:
The answer is
1. 45.5% (Airline tickets)
The new price (all together) will be
2. 370.1
Step-by-step explanation:
1.);
Going by 10.
220 + 15.5% = 254.1 (Incorrect, not what were looking for)
220 + 25.5% = 276.1 (Incorrect, not what were looking for)
220 + 35.5% = 298.1 (Incorrect, not what were looking for)
220 + 45.5% = 320.1 (Correct, it's what were looking for, but it's .1 above... I hope this doesn't matter.. Right...?)
2.);
220 + 45.5% + 50 = 370.1
I hope this helped.. Have an amazing day!
(Brainliest will highly be appreciated!)
If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?
Answers
Answer:
28%
Step-by-step explanation:
(3red+4red)/25candy = 7/25 = 28/100 = 28%
HELP NOW! 20 POINTS!
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Answers
No, it is not a proportional relationship because the graph does not go through the origin.
PLS HELP ILL MArk BRAINLIEST!!
Answers
960 cubic ft
Step-by-step explanation:
I'm just super smart looool
Jalen earns $33 for babysitting 4 hours.
After how many hours of babysitting will Jalen have made over $500?
Answers
60.6 hours
Explanation:
If Jalen earns $33 for 4 hours, then that means she earns $8.25 every 1 hour. The equation for this is y=8.25x. Y represents the total amount earned while x represents the amount of hours. We can substitute $500 for y and solve the for equation. So 500 divided by 8.25 would give you 60.6, meaning it would take Jalen 60.6 hours of babysitting to earn $500
60.6 hours Jalen have made over $500.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Jalen earns $33 for babysitting 4 hours.
So, in one hour Jalen earns = 33/4
= $8.25
and, if Jalen have to made over $500 then she works
= 500/ 8.25
= 60.6 hours
Hence, 60.6 hours Jalen have made over $500.
Learn more about unitary method here:
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Find 66.9% of 160.6. Round to the nearest thousandth.
Answers
Answer:
160 is the answer I just toke the quiz
Circumference if circle is_________
Answers
Answer: The distance around the edge of a circle
Step-by-step explanation:
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Answers
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
Answer:
n=4
Step-by-step explanation:
3(n+7)=33
3n + 21=33
3n=33-21
3n=12
n=12÷3
n=4
Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation
They will be at the same altitude in _ minutes, when their altitude will be _ feet.
Answers
Answer:
6 seconds., 16800 feet
Step-by-step explanation:
The first plane is going y = -3200x + 36000
The second plane is going y = 2800x
Substitute the second equation for y into the first one:
2800x = -3200x + 36000
6000x = 36000 (Add 3200x to both sides)
x = 6 (Divide each side by 6000)
That means they will be the same altitude at 6 minutes.
To find how high, put your answer into one of the equations.
y = 2800 (6)
y = 16,800 feet
Factorise the expression:21x+3xy+6x²
Answers
Answer:
3x(7+y+2x)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
A. What is the largest number that divides evenly into 21x, 3xy, and 6x²?
It is 3.
B. What is the highest degree of x that divides evenly into 21x, 3xy , and 6x²?
It is x.
C. hat is the highest degree of y that divides evenly into 21x, 3xy, and 6x²?
It is 1, since y is not in every term.
D. Multiplying the results above,
The GCF is 3x.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]3x(\frac{21x}{3x} +\frac{3xy}{3x} +\frac{6x^{2} }{3x} )[/tex]
3) Simplify each term in parentheses.
[tex]3x(7+y+2x)[/tex]
[tex]21x+3xy+6x^{2} = 6x^{2}+3xy+21x=3x.2x +3xy+3x.7 =3x.(2x+y+7)[/tex]
ok done. Thank to me :>
Find the x and y-intercepts of 3x-4y = 8
Answers
Answer:
y intercept is 2
x intercept is -2.6
Step-by-step explanation:
4y=3x-8
4y-3x=8
y/2-x/2.6=1
y intercept is 2
x intercept is -2.6
intercept formula
y/B+x/A= 1
where B and A are intercepts
What is the solution to the system of equations below?
x + y = 7 and x + 2 y = 11
Answers
Answer:
x=3, y=4. (3, 4).
Step-by-step explanation:
x+y=7
x+2y=11
--------------
-x-y=-7
x+2y=11
--------------
y=4
x+4=7
x=7-4
x=3
For f(x) = x + 7, find f(x) when x = 3 and when x = -5.
Answers
Answer:
When x = 3
f(3) = 3 + 7 = 10
When x = -5
f(-5) = -5 + 7 = 2
please mark me the brainliest
NO LINKS!!!
Help please ;-;
And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following
____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}
A. x > ‐4
B. x < ‐4
C. x ≥ ‐4
D. x ≤ ‐4
____ 2. The set of numbers {9, 8, 7, …}
A. x > 9
B. x < 9
C. x ≥ 9
D. x ≤ 9
____ 3. The set of numbers {0, -2, -4, -6, -8, ...}
A. x > 0
B. x < 0
C. x ≥ 0
D. x ≤ 0
____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}
A. x > ‐6
B. x < ‐6
C. x ≥ ‐6
D. x ≤ ‐6
Answers
1. A
2. D
3. D
4. C
(IF YOU NEED A EXPLANATION, JUST ASK!)
if 10 apples cost $1 how much would it cost per Apple
Answers
Answer:
10 cents per apple
Step-by-step explanation:
1 divided by 10 which is 1. And move the decimal one place to the left, leaving you with .1 or 0.1 or 0.10
I need helppp
It’s for math and I’m clueless
Answers
Answer:
14
Step-by-step explanation:
x=4 y=1
Substitute them into the equation 3x-4yy+6
3(4)-4(1)+6
12-4+6
amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?
Answers
Answer:
$27,444.80
Step-by-step explanation:
12% of 22,540 is 2,704.8
add the amount she made
add the weekly salary (550 × 4)
Find y such that the slope between (2, y) and (5, -3) is 7.
Answers
Answer:
y= -24
Step-by-step explanation:
since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24
The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 12in)
Answers
Answer:
18 feet
Step-by-step explanation:
If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D
Plzzzz help asap
This table shows input and output values for a linear function
f(х)
What is the positive difference of outputs for any two inputs that
are three values apart?
Enter your answer in the box.
Answers
Answer:
2
Step-by-step explanation:
From what I understand from the question,
you're looking for the difference between f(x) and f(x+4)
lets take the points f(-3) and f(1)
the difference is 0.5 - -1.5=2
A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?
Answers
Answer:
check online for more information
Answer:
Check online for more informations.
PLEASE HELP QUESTION IN PICTURE
Answers
After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second
Answers
Answer:
5 feet per second
Step-by-step explanation:
Use the formula y2-y1/x2-x1. (10,50) is x1 and y1. 25 seconds and 125 feet is x2 and y2.
(125-50)/(25-10) = 75/15
We need to solve for the feet per (or 1) second, so we have to divide it by 15.
75/15= 5
So, the slope is 5 feet per second.
please help me with this problem
Answers
Answer:
v=32
Step-by-step explanation:
23-15=8x4=32
32/4+15=23
2. Graph each inequality on a number line:
5x + 15 < 0
Answers
Answer:
x < -3
Step-by-step explanation:
1. To put this inequality on a number line, we first must solve it.
Step 1: Subtract 15 from both sides.
[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]2. Now that we know x < -3, let's graph it!
Since it's less than, we make the number line point to the left, and we make the circle open.
Which algebraic expression represents the
following situation: Six fewer seashells than
the total number of seashells in p packages,
each of which has five seashells?
Is it c
Answers
Answer:
Yes, it is c
Step-by-step explanation:
Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.
Based on the information given, the equation to represent the situation is 5p - 6.
The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.
Therefore, the equation will be:
= (5 × p) - 6
= 5p - 6.
Learn more about equations on:
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Reduce the fraction and find the domain:
(c+2)^2 divided by 7c^2+14c