A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answers
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
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Answer:
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Step-by-step explanation:
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6,13,20,27,34?
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Answer:
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Step-by-step explanation:
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
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Answer:
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PLEASE ANSWER AS SOON AS POSSIBLE!
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To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)
Consider the equations shown: ax + by = ab & 2ax + 3by = 3b
Which of these is the value of y in terms of a?
Option 1 : y = 3a – 35
Option 2 : y = 2ab – 3b
Option 3 : y = 9a – 35
Option 4: y = 3 – 2a
Answers
Answer: [tex]y=3-2a[/tex], Option 4
Step-by-step explanation:
[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]
multiply 2 at [tex]ax+by=ab[/tex]
[tex]2ax+2by=2ab[/tex]
subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]
[tex]by=3b-2ab[/tex]
[tex]y=3-2a[/tex]
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
Answers
3x+5y=115
Combine it
X=7.5 y=18.5
-3y + 12 = -8x
anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form
Answers
Subtract 12 on both sides
-3y = -8x - 12
Divide by -3 on both sides
y = 8/3 + 4
Change original equation to Ax + By = C
-3y + 12 = -8x
Switch -8x and 12
-3y + 8x = -12
(ps, I haven’t done this kind of math in a long time )
Solve the equation
5(4+t) = 5t + 20
Answers
=
0
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
What is the domain of the function in this table
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The main fuction is mulitiply by 2 each 1 point
Step-by-step explanation:
de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Answers
Answer:
2
Step-by-step explanation:
el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2
Answer: 2
Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2 Espero que ayude Ten un día maravilloso :)
In the equation, 3b+4=7, what is the 4
Answers
Answer:
constant
Step-by-step explanation:
3 is the coefficient, b is the variable, 4 and 7 are the constants.
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Enter your answer in the box.
Answers
Answer:
hold on almost got it
Step-by-step explanation:
Answer:
19
i dont need any code or stuff
i just wan to help
What is the 50th term of the arithmetic sequence 7, 10, 13, ...?
show complete working format please
Answers
Answer:
154
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 10 - 7 = 3 , thus
a₅₀ = 7 + (49 × 3) = 7 + 147 = 154
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52. .Item. .Price Per Pound. .Fruit Chews. $4.70 .Jelly Beans. $2.35 .Chocolate. $3.50 .If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answers
Answer:
The amount of money Jake had left after his purchase is $10.85
Step-by-step explanation:
The amount of Fruit Chews Jake selected = 1.6 pounds
The amount of Jelly Beans Jake selected = 2.6 pounds
The sales tax = $0.52
The amount of money Jake had to spend = $25
The table of values are;
Price Per Pound [tex]{}[/tex]
Fruit Chews = $4.70
Jelly Beans = $2.35
Chocolate = $3.50
The amount of money Jake had to spend $25
The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63
The total amount Jake spent = The total amount of the candies Jake bought + The sales tax
The total amount Jake spent = $13.63 + $0.52 = $14.15
The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent
The amount of money Jake had left after his purchase = $25 - $14.15 = $10.85
The amount of money Jake had left after his purchase = $10.85.
How can we get Equation B from Equation A?
3(x+2)=18
x+2=18
i need them solved aswell
Answers
Answer:
x = 4
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
(not my answer)
- klhat percentage of 40 is 8?
Answers
Step-by-step explanation:
8/40 x 100% = 20%
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.
Part I:
How much money will you save buying the iPad on sale?
Part II:
What is the final cost of the iPad when it is on sale?
Answers
part 2. is 360 dollars
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Which of the following is not a function
B is not right
Answers
Answer:
The first one
Step-by-step explanation:
They have 2 outputs for the same input
A function cannot have the more than one of the same x-values (x= 2 y=4, x=2 y=5), but you can have more than one of the same y-value as long as it’s a diff x-value (x=2 y=5, x=3 y=5)
On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly
Answers
Let total number of questions be x.
According to the question,
80% of x is 32
or 80/100 × x = 32
or x = 32 ÷ 80/100
or x = 32 × 100/80
or x = 32 × 10/8
or x = 4 × 10
or x = 40
So, total number of questions is 40.
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answers
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answers
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
f(x) = − 1
2
x for x = –6
Answers
Answer:
Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.
Step-by-step explanation:
find the area of the figure. (sides meet at right angles.) 2m 2m 2m 2m 3m 7m 7m 7m
Answers
Common Factors for
21 and 63
Answers
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?
Answers
Answer:
C x 20 + R x 20
Step-by-step explanation:
C x 20 + R x 20 or
20c + 20r
What’s the square root of 8 and 75 and 20 and 300 and 15
#not help asap
Answers
75: 8.66025403784
20: 4.472135955
300: 17.3205080757
15: 3.87298334621
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answers
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
What is the quotient of x and three increased by 12 = 20
Answers
Answer:
x= 24
Step-by-step explanation:
Quotient means divide, increased means add
x/3 + 12 =20
Subtract 12 from each side
x/3 +12-12 = 20-12
x/3=8
Multiply each side by 3
x/3 * 3 =8*3
x= 24
Answer:700 / n, the quotient of 700 and a number. 2w, two times a ... h - 3, three less than a number ... 20 + m, 20 more than a number. x - 12, a number decreased by 12.
Step-by-step explanation:
7th grade math help me plzzzzz
Answers
I need help with both of these
Answers
Answer:
12) 0.01 meter
13) B is the correct
Step-by-step explanation: