O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly

O Is The Centre Of The Circle. AB Is A Diameter.Calculate The Values Of A And B. Please Help I Cant Understand

Answers

Answer 1

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

OA = OB = OC

In Δ AOC

∵ OA = OC

Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

m∠OAC = m∠OCA

∵ m∠OAC = a°

m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

a° = 63

The value of a is 63°

In ΔBOC

∵ OB = OC

Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

m∠OBC = m∠OCB

∵ m∠OBC = b°

m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

b° = 27

The value of b is 27°


Related Questions

These dot plots show lengths (in feet) from a sample of crocodiles and alligators.


Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
statement is true?

A. Alligators have a smaller IQR because there were some very long
alligators (high outliers).

B. Crocodiles have a greater IQR because most of the crocodiles
were about the same length.

C. Alligators have a smaller IQR because there were some very short
alligators (low outliers).

D. Alligators have a greater IQR because there were some very long
alligators (high outliers).

Answers

Alligators have a greater IQR because there were some very long alligators (high outliers)

D: Alligators have a greater IQR because there were some very long alligators (high outliers)

How to find outliers and the interquartile range?

Use the interquartile rule to find outliers and calculate the interquartile range of data.

Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.

Subtract 1.5x (IQR) from the first interquartile range.

If you subtract 1.5xIQR from the first quartile, data values ​​smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values ​​larger than this number are considered outliers.

Learn more about outliers and the interquartile here:https://brainly.com/question/17083142

#SPJ2

The girls' swim team is hosting a fundraiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

Answers

This question is incomplete

The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.

Write a system using c for candles and f for flowers.

Answer:

c + f ≤ 200

5c +6f ≥ 500

Step-by-step explanation:

Using

c for candles

f for flowers.

The girls estimate that at most they will sell 200 items.

At most is a statement that means : Less than or equal to with the inequality sign (≤)

Hence:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

At least is a statement that means : Greater than or equal to with the inequality sign (≥)

Hence:

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500

14 m
4m
What is the area of the figure to the nearest hundredth? Enter the answer in the box.
square meters

Answers

Answer:

Step-by-step explanation:

we have a rectangle and a semicircle,

area rectangle=14*4=56

area of semicircle

diameter is 4, than r=2

A of the circle=3.14*r^2=3.14*4=12.56

we have a semicircle so we will divide the area by 2

A=12.56/2=6.28

total area=56+6.28=62.28

As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The expression 14.99n +4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs

Answers

Answer:

14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.

Step-by-step explanation:

b) Prove that
Tan 47°\cot 43°= 1​

Answers

Answer:

Here's the proof

Step-by-step explanation:

tan(47°)/cot(43°)

=tan(90°-47°)/cot(43°)

=cot(43°)/cot(43°)

=1 (proven)

Answer:

Step-by-step explanation

Loll

guys i’m in a hurry please help meeee

Answers

Answer:

try both -1, if I'm wrong I am sorry

What is the value of 2/7 divided by 4/9

Answers

Answer:9

Step-by-step explanation:

dk

Answer:

its 0.642857 pls tell me if im wrong lol srry if it is

Find the asymptotes of the following functions

Answers

Answer:

a) y = -6/x has a vertical asymptote at x = 0

b) y = 1/(2·x) - 1 has two asymptotes;

1) A vertical asymptote at x = 0

2) A horizontal asymptote at y = -1

Step-by-step explanation:

The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity

a) The given equation is y = -6/x

Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0

b) The given equation is y = 1/(2·x) - 1

∴ y = (1 - 2·x)/(2·x)

The function has a vertical asymptote at x = 0

The function has an horizontal asymptote at y = -2/2 = -1

The points in the table lie on a line. Find the slope of the line.

Answers

Answer: y=4+2x i think

Answer:

slope: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula  [tex]\frac{rise}{run}[/tex] to solve this.

- write your formula

[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

- plug in your numbers

[tex]m=\frac{4-3}{0-(-2)}[/tex]

- solve

[tex]m=\frac{1}{2}[/tex]

I hope this helps!

Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?​

Answers

I’m not sure.. I think it would be(-2,4)

What is the equation of a line with slope of 5/4 and a y-intercept of 9?

Answers

Answer:

Y = 5/4)x + 9

Step-by-step explanation:

Y = mx + b

b = y int

m = slope

What is the first step in solving this problem:
-2 •(3+8+4)2

Answers

the first step is to solve the parenthesis because of PEMDAS.


hope this helps,, have a nice day :))
The first part of solving this problem is the (3+8+4) because they’re in between the parentheses

Which two grids have 25% shaded

Answers

We can’t see the grids

Answer:

there's no grid provided

15 POINTS A 4-inch length is represented as 1/8 on a scale drawing. What is the scale used on the drawing?
1 foot=3/4 inch
1 foot =3/8 inch
1 foot= 1/2 inch
1 foot = 1/4 inch
Please explain im not good at scales and models.

Answers

9514 1404 393

Answer:

  (b)  1 foot = 3/8 inch

Step-by-step explanation:

The given ratio is ...

  actual : scale = 4" : 1/8"

You know that 1 foot = 12 in = 3×4 in, so you can multiply the above ratio by 3 to see what it is for 1 foot.

  actual : scale = 3×4" : 3×1/8"

  = 12" : 3/8"

  = 1 foot : 3/8 in

______

Alternate approach

Essentially, we're saying that the ratios between actual measures and those on a scaled drawing or model form a proportion.

  scale / actual = (1/8")/(4 in) = ??/(12 in)

Multiplying by 12 in, we get ...

  ?? = (12 in)(1/8")/(4 in) = 3×1/8"

  ?? = 3/8"

__

More detail

Notice that this only works when the units in the ratio (12 in)/(4 in) cancel to give a pure number 12/4 = 3.

If we had put 1 foot in the proportion, then we would end up with ?? being expressed in feet, not inches:

  (1/8")/(4") = ??/(1 ft)

  ?? = (1 ft)(1/8")/(4") = (1 ft)(1/32) = 1/32 ft

Then, to find the answer to the question, we would have to find out how many inches is 1/32 ft.

  1/32 ft = (1/32)(12 in) = 12/32 in = 3/8 in

__

End comment

For best results, the units in corresponding parts of a proportion should be the same.

Can some one solve 1 for me plz I need to pass this test it is timed
I’ll give out a crown

Answers

Answer:

(x +8) (x - 3)

Step-by-step explanation:

Hope it helps you in your learning process.

what is 7-2x+3+5x+4x2​

Answers

Answer:

7x+14 I think is correct. it's just combining like terms

HEEEEELP PLEASEEEE THAAAAAAANK YOUUUUU

Answers

Answer:

250/30= 25/3

inverse of 25/3= 3/25

Step-by-step explanation:

2/5k - 3/5 + 1/10k ?

Answers

Answer:

Since it is not an equation u wont get a numerical value

so basically its just fraction addition and subtraction

which is ((2/5)-(3/5)+(1/10))k

so answer is (-1/10)k

Step-by-step explanation:

[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]

[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]

[tex] \frac{5}{10} k - \frac{3}{5} [/tex]

[tex] \frac{k}{2} - \frac{3}{5} [/tex]

What is the next term of the arithmetic sequence 1, -2, -5, -8, ...

Answers

Answer:

-11

Step-by-step explanation:

Subtract 3 everytime

Answer:

-11

Step-by-step explanation:

coz

1-3= -2

-2-3= -5

-5-3= -8

-8-3= -11

convert 27℅ to a decimal to a fraction and show a example how. ​

Answers

Answer:

27% to .27 to 27/100

Step-by-step explanation:

So you take your number 27 and remove your % sign then you put your decimal at the last number on your right like this 27. so to make a percent into a decimal you have to move it twice to the left. so it will look like this as a decimal .27 to make it into a fraction look at the placement it is in the hundredths place so 27/100

Answer:

0.27

Step-by-step explanation:

You have to divide 27 by a 100. So you make 27 as 27.00 then you divide it by 100 and it give you 0.27 hope this is right and helped

PLS HELP I WILL GIVE YOU BRAINLIST
Plot each set of points. Which set represents equivalent ratios?
(3, 1), (4, 3), (6, 7)
(2, 1), (6, 3), (10, 5)
(1, 2), (2, 6), (5, 8)
(1, 2), (2, 4), (3, 5)

Answers

Answer:

It is B

Step-by-step explanation:

I just did it! Yesterday <3 Hope this helps!!

Answer:

IT'S B!!!!!!!!!!!!!!!!!!!!!

solve for x and express in simplest radical form

Answers

soooo this is a pythagorean theorem problem:
6cm^2 - 4cm^2 = x
36 - 16 = x
20 = x
then take the square root of 20
4.47 = x

Liz is measuring her paper clips. She lines 8 paperclips up along the side of a notebook. The side of the notebook measures 10 2/3. What is the length of each paper clip?

Answers

Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.

Solve
7x — 2 = 5x + 14​

Answers

Bring all the common expressions onto one side so
7x-5x = 14+2
2x=16
x=8

Please help me, I don't know the difference between an expression and an equation. XD

Answers

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhh

-6=n/2-10 step by step one plz

Answers

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-6 = n/2 - 10

Step 2: Solve for n

Add 10 to both sides:                    4 = n/2Multiply 2 on both sides:              8 = nRewrite:                                          n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                   -6 = 8/2 - 10Divide:                                 -6 = 4 - 10Subtract:                             -6 = -6

Here we see that -6 does indeed equal -6.

∴ n = 8 is the solution to the equation.

Here you go,
STEP-BY-STEP

Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph

Answers

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.

What is the product of d – 9 and 2d2 + 11d – 4?

2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36

Answers

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Nolan bought 3 postcards while on vacation for 1 week how many weeks will Nolan have to spend on vacation to buy 15 postcards if he buys them at that rate

Answers

Answer: 5 weeks

Step-by-step explanation:

In the 1 week he was on vacation, Nolan was able to buy 3 postcards.

The rate he is buying postcards is therefore 3 per week.

If he needed to buy 15, he would need to be there for:

= 15 postcards/ 3 postcards a week

= 5 weeks

7. it is on gradpoint

For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.



A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, yes


B. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, no


C. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, yes


D. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, no

Answers

Answer:

A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes

Step-by-step explanation:

From the given problem, I gather that there are only two groups of forces. These are:

13 lb, 35 lb, resultant force 30 lb

20 lb, 15 lb, resultant force 25 lb

We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.

Resultant Force = √(a² + b²)

So, for the first group,

30 ? √(13² + 35²)

30 ≠ 37.33

Thus, the first group does not pull at right angles to each other.

For the second group,

25 ? √(20² + 15²)

25 = 25

Thus, the second group does pull at right angles to each other.

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