find the perimeter and area of the shape based on the information provided

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

Answer:

He can add through calculater or by doing addition in his mind

Given:

The temperature on the moon can vary from -172 to -126 degrees Celsius.

To find:

The difference between the maximum and minimum temperatures.

Solution:

It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.

Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.

The difference between the maximum and minimum temperatures is:

Difference = Maximum temperature - Minimum temperature

[tex]\text{Difference}=-126-(-172)[/tex]

[tex]\text{Difference}=-126+172[/tex]

[tex]\text{Difference}=46[/tex]

Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.

Answer:

35, 27, and 30

Step-by-step explanation:

Answer:

area = 38.47 cm²

Step-by-step explanation:

area = 1/4(3.14)(7²) = 38.47 cm²

Answer:

the mean is 9

Step-by-step explanation:

add all the numbers then divide by 6

Answer:

The mean is 9.

Step-by-step explanation:

The mean of a data set is all of the numbers added together, divided by how many numbers are present.

For instance, 10+10+8+9+7+10 = 54.

Since there are 6 numbers in this data set, you divide 54 by 6 and get 9.

Therefore, the mean of this data set is 9.

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

Answer:

what?

Step-by-step explanation:

if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment

Answer:

Step-by-step explanation:

Answer:

2563 (square root)in^2

Step-by-step explanation:

i took the test

Answer:

jhtbieugcn5guwnhhubymymuwihyehnmedmilgb,dhlhut,dybidbthi,yibtjd,njhsknhb

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Each yard is 36 inches; each foot is 12 inches.

Answer:

subtract 12 from both sides of the equal sign

-since you are trying to find h

Answer:

B) 8.5

Step-by-step explanation:

[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]

Option B should be the correct answer.

Hope this helps.

Answer:

The value of x is 6

Step-by-step explanation:

- 3x + 12 = 2x - 18

12 + 18 = 2x + 3x

30 = 5x

5x = 30

x = 30 ÷ 5

x = 6

Thus, The value of x is 6

-TheUnknownScientist

Answer: 54

Step-by-step explanation:

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of JL is 54 units.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For a rectangle the length of the diagonals is equal, also the diagonals bisect each other in equal parts, therefore, we can say,

HM = JM = MK = ML

Substitute the value of JM and ML,

JM = MK

x + 17 = 5x - 23

x - 5x = -23 - 17

-4x = -40

x = 10

The length of JM can be written as,

JM = x + 17 = 10 + 17 = 27

Since HM = JM = MK = ML, therefore,

JL = (JM + ML) = 27+27 = 54 units

Hence, the length of JL is 54 units.

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Answer:

9/100

Step-by-step explanation:

a percent is 9 out of 100 so it is 9/100

Answer:

a

Step-by-step explanation:

Answer:49

Step-by-step explanation:

Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

[tex]\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}[/tex]

[tex]\text{Probability}=\dfrac{2}{7}[/tex]

Therefore, the probability of picking an N is [tex]\dfrac{2}{7}[/tex].

Answer:

A ≈ 3.9

Step-by-step explanation:

How to solve

A=πr2

C=2πr

A=C2

4π=72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9

Answer:

30

Step-by-step explanation:

21 + 9 = 30

Answer:

2/6

Step-by-step explanation:

Add 3/6 and 1/6, then the leftover is 2/6.

Answer:

I would say 32 but I'm so sorry if it's wrong

Answer:

63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.

Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:

1 group of 63 cards

3 groups of 21 cards

7 groups of 9 cards

9 groups of 7 cards

21 groups of 3 cards

63 groups of 1 card

So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.

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Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15