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°
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Related Questions
Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equation for line n?
Lines m and n are parallel Line m is described by the equation y
A Oy-3 = 4(x + 1)
B. Oy-3=(x+1)
c. Oy+3 = 4(x - 1)
D.Oy+3 = 4(x - 1)
Answers
The equation of line m, in point-slope form is: y + 3 = 4(x - 1)
Recall:
The slopes of parallel lines are equal to each other.Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.Point-slope form equation is: [tex]y - y_1 = m(x - x_1)[/tex] where, [tex](x_1, y_1)[/tex] is a point and m is the slope.Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute [tex](x_1, y_1)[/tex] = (1, -3) and m = 4 into [tex]y - y_1 = m(x - x_1)[/tex]:
[tex]y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}[/tex]
Therefore, the equation of line n, in point-slope form is: y + 3 = 4(x - 1)
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Sketch the graph of each linear inequality
Answers
Answer:
hope you can see these, the red graph is problem 3 and the blue graph is problem 5 :)
Jamie joined the marching band. To pay for a uniform, he borrowed $120 for 3 months with 6% interest per month. What was the total cost of Jamie’s uniform?
Answers
Answer:
$142.92
Step-by-step explanation:
120 * 1.06^3 = 142.92192
Explain how to use the distributive property to find an expression that is equivalent to 20+16.
Answers
Answer:
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).
Another help!!! Good points fake response =report
Answers
Answer:
135Step-by-step explanation:
3³ × (12-2) ÷ 2 =
27 × 10 ÷ 2 =
270 ÷ 2 =
135
(789+890)=(2992) answer it and i give u a taco
Answers
Answer:
False
Step-by-step explanation:
789+890 = 1679
Answer:
789+890+1313=2992
Step-by-step explanation:
were u get 8 from and 17.6 u need to show ur work
Answers
I don’t understand what this question is asking for but here is what I understood.
8 comes after 7 and before 9
17.6 comes after 17.5 and before 17.7
hope it helps…?
A student answer 86 problems on a test correctly and received a grade of 98% how many problems were on the test if all the problems worth the same number of points
Answers
Answer:
87 or 88
Step-by-step explanation:
86 is 98% of 87.755102
So, the number of problems must have been 87 or 88
What are the roots of the function
2x^2-8x=0
Answers
Answer:
[tex]x=0[/tex] and [tex]x=4[/tex]
Step-by-step explanation:
The roots of a function (also known as "x-intercepts" or "zeroes") are defined where y=0. Therefore, we will solve the quadratic:
[tex]2x^2-8x=0[/tex]
[tex]2x(x-4)=0[/tex]
[tex]x=0[/tex] and [tex]x=4[/tex]
Which one is the correct answer? Can you please explain your reasoning
Answers
Answer:
2√10
Step-by-step explanation:
dont need any reasoning its right.
Hedi Earns 3% commission on the jewelry she sells each week last week she sold $730 worth of jewelry how much commission did she make
Answers
730*0.03=21.9
She makes $21.90
which expression is equivalent 2(t-4)+1?
Answers
Answer:
(Answer below)
Step-by-step explanation:
2t - 8 + 1
this is the expanded form of 2(t-4)+1 therefore, it is the same as 2(t-4)+1
how I got this: 2 x t = 2t 2 x 4 = 8 2t + 8 +1
Find the area of a triangular garden if the
sides are approximately 6 feet, 11 feet, and
12 feet (to the nearest square foot).
Answers
Answer:
As it is a triangle, so you start applying Pythagoras;
once with 11 as the hyp. and once where x is the hyp.
where x is the hyp.
feet
and if considering 11 as the hyp. feet
*If the equations are not shown, you simple wait till the page fully loads or refresh the page*
Hope this helps.
Step-by-step explanation:
PLEASE HELP QUESTION IN PICTURE
Answers
Answer:
16 units
Step-by-step explanation:
Are the ratios 6:5 and 19:15 equivalent?
Answers
ANSWER: NO
Answer: no
Step-by-step explanation:
Can someone answer this no bots please I will give you brainliest… please
Answers
Answer: Alice
Step-by-step explanation: Alice won because she started furthest From the starting line.
A triangle has two sides of length 6 and 18. What is the smallest possible whole-number length for the third side?
Answers
Answer:
Step-by-step explanation:
A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?
Answer:
11 units
Step-by-step explanation:
Between 18-8 = 10 and 18+8 = 26, the smallest integer number INSIDE this interval is 11.
a) Write an equation for the line of best fit.
Y=-0.007x+13.713
5. The data below shows the population of a city,
In millions of people, since 1950.
Year Population
1950 1.75
1960 1.68
1970
1.52
1980
1.16
TO
b) Estimate the population of the city in 2020.
1990
1.04
2000
0.98
Answers
Answer
Step-by-step explanation:
In millions of people, since 1950
A right rectangular prism has edges of 8 feet, 4 feet, and
1/ foot.
How many cubes with side lengths of
1/2
foot would be needed to fill the prism?
Answers
Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you !!sub duplicate ratio of 16:9 is
Answers
The sub duplicate ratio of 16:9 is
4: 3
Sub duplicate ratiosThe sub-duplicate ratio is found by finding the square root of both the numerator and denominator
The given ratio is 16:9
Find the square root of 16
[tex] \sqrt{16} = 4[/tex]
Find the square root of 9
[tex] \sqrt{9} = 3[/tex]
Combining the two square roots that were found, the sub duplicate is:
[tex] \frac{4}{3} [/tex]
Therefore, the sub duplicate ratio of 16:9 is
4: 3
Learn more on sub duplicate of ratios here: https://brainly.com/question/25881746
can someone pls help quick
Answers
True
False - 25% of 50 is 12.5
False - 70% of 80 is the same as 7/10
True
Simplify the expression.
-6 + 2(9a + 5)
Answers
-6 + 18a + 10
18a + 4
Hope this helps!
Brainliest is much appreciated!
Distribute the 2 to the 9a and the 5 to get
-6+18a+10
Combine like terms (-6 and 10) to get
18a+4
Prove that 4x-1 =11,in which the value of x=3
Answers
Answer:
3
Step-by-step explanation:
substitute where x=3 into the equation
so 4*3-1=11
4×3-1=11
12-2=11
11=11
proved..
What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm
Answers
Answer:2*225*pie/360*3
Step-by-step explanation:
The required length of the arc is 11.78cm
Angle θ = 225 degrees
radius = 3 cm
arc = ?
What is an arc?
Arc is the measure of angle on the circumference of circle.
Length of an Arc = θ × (π/180) × r
Length of an Arc =225 × (π/180) ×3
= 11.78
Thus, the required length of the arc is 11.78 cm
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find the slope of the line that passes through (3,1) (4,9)
Answers
Answer:
+8
Step-by-step explanation:
2. Which of these situations can be represented by the
opposite of -25?
A. scuba diver is 25 feet below sea level.
B. Leon gets paid $25.
C. An airplane descends 25 feet.
D. Sara has a $25 debt.
a
Answers
Answer:
B
Step-by-step explanation: Because he gains $25, which is positive
if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)
Answers
Answer:
....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
if mp is p , price including VAT is q, discount amount is r and VAT amount is s ,then find the relation between them
Answers
hope you can understand
Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Hint: Write a formula to help you.
1st term + common difference(desired term - 1)
Answers
Answer:
45
Step-by-step explanation:
The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.
Please mark brainliest I really need it
Answer:
43 I think that is the Answer
What is the exact length of AB ?
Answers
Answer:
B
4*2=8
Hope This Helps!!!