Mathematics High School

In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.

In The Circle, O Is The Centre And AB Is A Diameter.a) Work Out The Size Of Angle A.b) Work Out The Size

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer:

a). m∠a = 62°

b). m∠b = 118°

Step-by-step explanation:

a). Since, an angle inscribed in a semicircle is a right angle,

  m∠ACB = 90°

  By triangle sum theorem in ΔABC,

  m∠CAB + m∠ACB + m∠ABC = 180°

  28° + 90° + m∠ABC = 180°

  118° + m∠ABC = 180°

  m∠ABC = 180°- 118°

  a = 62°

b). Since, quadrilateral ABCD is a cyclic quadrilateral,

   m∠ADC + m∠ABC = 180°

   b + a = 180°

   b + 62° = 180°

   b = 180° - 62°

   b = 118°

Related Questions


If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?

Answers

hope it will help you..........

Question 1
1 pts
A furniture company has 15 trucks that can make
120 deliveries each day. How many trucks would
they need to make 160 deliveries each day?

Answers

They would need 20 trucks because each carries 8 deliveries

what are the like terms in these?


3+5y-2g+7y


9g+5-2g+8x

Answers

Answer:

so the first one is 3+12y−2g

and the second one is 7g+5+8x

Step-by-step explanation:

im rlly rlly sorry if its wrong !!

Multiply it by 12 and subtract 13 and the result is 47

Answers

Answer:

The number is 5 as 5x12=60 60-13=47

PLZ HELP U GET POINTS AND I WILL GIVE YOU BRAINLIEST

Answers

13/5 is the smaller number

Answer: A) 13/5

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.  13/5

13/5 = 2.6

write [tex]2\frac{2}{3}[/tex] as a fraction

[tex]2\frac{2}{3}[/tex] = 8/3

Convert the fraction to a decimal by dividing the numerator by the denominator. 8/3

2.66666666667

13/5 < [tex]2\frac{2}{3}[/tex]

The left side2.6  is less than the right side 2.66666666667, which means that the given statement is true.

The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. A rectangle. The top of the rectangle is labeled (8 x minus 1) inches. The right side is labeled (2 x + 4) inches. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches

Answers

Answer:

1.) 2(8x-1)+2(2x+4)

2.) 16x-2+4x+8

3.) (20x+6)

Step-by-step explanation:

The perimeter of the rectangle is (20x + 6)inches

The perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2l + 2w

Given that;

l = 8x - 1

w = 2x + 4

Susbtitute

P = 2(8x - 1) + 2(2x + 4)

Expand

P = 2(8x) - 2(1) + 2(2x) + 2(4)

P = 16x - 2 + 4x + 8

P = 16x + 4x - 2 + 8

P = 20x + 6

Hence the perimeter of the rectangle is (20x + 6)inches

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

There are 125 sheets of paper in a pack. A classroom uses 30 packs of paper in a year. How many total sheets of paper does the classroom use?

A.
155

B.
625

C.
1,875

D.
3,750

Answers

Answer:

3,750

Step-by-step explanation:

Answer:
D. 3,750
Explaintion:
125 sheets in each pack x 30 packs of paper in a year = 3,750 sheets of paper used in a year

The movie theater charges a 3.5% convenience fee to buy your tickets online. If the price for tickets comes to $36.00, what will the total cost be including the convenience fee?

Answers

Answer:

$37.26

Hope this helps.

PLEASE HELP! YOU WILL GET 10 BRAINLIST!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER

-2(y+4)-2y >8

Answers

Answer:

-2(y+4)-2y >8

-2y-8-2y>8

-4y-8>8

-4y<8+8          

When you move a number on the other side it changes the side then > will become <

-4y<16

-4y/-4<16/-4

y<-4

Hi , I have geometric question
What is x angel ?

Answers

Explain how I would know the answer

54 divived by 32 i really need this help!

Answers

Answer:

1.6875

Step-by-step explanation:

1.6875 or in fractions,1 11/16

An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?

Answers

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3

Need help please asap

Answers

Answer:

A

Step-by-step explanation:

A because 21 is a greater number than 9 and therefore should be in the denominator. That leaves you with 9 which is a smaller number and should go on the numerator. Hope this helped you!

Use SUBSTITUTION to solve the system
2x+y=-2
5x+3y=-4

Answers

Answer:

x=-2,y=2

Step-by-step explanation:

2x+y=-2 ----> y=-2-2x----(1)

25x+3y=-4 ---(2)

Replace (1) in (2)

5x+3(-2-2x)=-4

5x-6-6x=-4

-x=-4+6

-x=2

x=-2

If x=-2,then replace x in (1)

y=-2-2(-2)

y=-2+4=2

solve for y and x explain your thinking

Answers

Answer: X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.

Math problem\James and lucas committed in a climbing competition and coming back down. James climbed at the average 3 mph and came back down at 4 mph. Lucas climb at the average of 2 mph and came back down at 5 mph. If the path from the bottom to the top was 2 miles how much time did it take for both friends to finish and who was faster.

Answers

this hfjfbfbbfhfbffw4

Answer:

1.166666 ; 1.4 ; James

Step-by-step explanation:

Given that:

Path from bottom to top = distance = 2 miles

Time taken = distance /speed

James :

To climb up:

Time = 2 / 3 = 2/3 hours

Coming down :

Time = 2 / 4 = 1/2 hours

Total time taken = 2/3 + 1/2 = 1.166666 hours

1.166666 * 60 = 70 minutes

Lucas :

To climb up:

Time = 2 / 2 = 1 hour

Coming down :

Time = 2 / 5 = 2/5 hours

Total time taken = 2/3 + 1/2 = 1.4 hours

1.4 * 60 = 84 minutes

James was faster :

1.166666 < 1.4

The area of a circle is 9π
if and only if, its radius is 3.
true or false

Answers

true :) hope this helps

To convert a temperature from degrees Celsius to degrees Fahrenheit, you can use the formula F= (C*1.8) + 32 where F is degrees Fahrenheit and C is degrees Celsius. What is the temperature (in degrees Fahrenheit) of water that is 10 degrees Celsius?

Answers

Answer:

The temperature is [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

[tex]F= (C*1.8) + 32[/tex]

Required

Find F when [tex]C = 10[/tex]

[tex]F= (C*1.8) + 32[/tex]

Substitute 10 for C

[tex]F = 10 * 1.8 + 32[/tex]

[tex]F = 18 + 32[/tex]

[tex]F = 50[/tex]

Jason had 246 dollars to spend on 6 books.after buying them he had 12 dollars. How much did each book cost?

Answers

Answer:

1 book = 41 dollars.

Step-by-step explanation:

If you divide your whole by your part, then you will get how much 1 book is.

how i did it:

246 divided by 6 = 41.

1 book = 41 dollars

when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

Answers

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Celia bought a bag of 12 goldfish for $3. What is the cost of 1 goldfish?

Answers

12 goldfish = $3
1 goldfish = $?
Cross multiple
1(3) / 12 = 0.25
=> 1 goldfish is $0.25 or 25 cents

James purchased 3 pounds of steak for $21. Which equation can be used to determine the cost, y, to purchase
x pounds of steak?

Answers

Answer:

i belive its A

Step-by-step explanation:

y= 7 x or 21=7x3

y = 21 x=3

21 = 7x3

7x3=21

I just learned this kind of confused :(

Answers

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

The length of a rectangle is 1 7/9 in and its width is 3/4 of its length. Find the area of this rectangle.

Answers

Answer:

The answer is 4/3 or 1.33 square units.

Step-by-step explanation:

Length = 1 + 7/9 = 16/9 units.

Width = 3/4 units.

Since area of rectangle = Length * Width

Area = 16/9 * 3/4 = 4/3 square units.

What is the 87th term of the arithmetic sequence of 12,0,-12

Answers

Step-by-step explanation:

12,0,-12

[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]

Two given angles cannot be both...

A. congruent and complementary

B. vertical and congruent

C. adjacent and congruent

D. vertical and adjacent

Please help

Answers

Answer:

D

Step-by-step explanation:

It d because D is for dogs

Two given angles cannot be both vertical and adjacent which is the correct answer would be option (D)

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

When two angles are congruent, or equal in size, and they are immediately opposite one another, they are said to be vertical.

Vertical angles do not share a common side, but rather a common vertex or point.

A vertex and a common side are shared by adjacent angles.

Since vertical angles can not have a common side when they are immediately opposite one another, two given angles cannot be both vertical and adjacent.

Hence, the correct answer would be option (D)

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ6

CAN SOMEONE PLEASE HELP ME???

Answers

Answer:

the correct answer is number 3.

I'm 10000000000% sure.

the explanation is in the pictures.

-10 is 9 less than a number w

Answers

Answer:

-1

Step-by-step explanation:

To figure this answer out, you add 9 to -10, which is -1

Hope this helps

2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)

Answers

Answer:

yes the both have all the same angles

Step-by-step explanation:

180-90=90

90-35=55

these triangles are not similar because although they are the same shape, they are not the same size.

A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.

(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )

Answers

Answer: x/100 = 96 - 80/80

so you multiply 80 times x and multiply 96-80 by 100 so

80x=1600

x= 20%

Step-by-step explanation:

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