i need help with angles for geometry 1 and 2

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

A this is the answer, please choose this answer

Answer:

image please

Step-by-step explanation:

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

Properties: Isotoxal figure, Convex polygon

Step-by-step explanation:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Explanation

Step 1

let's find the equation of the line

a)slope

the slope of a line is given by:

so

pick up 2 points from the line

let

P1=(0,-4)

P2=(4,-3)

now, replace in the equation to find the slope

Step 2

b) the equation of the line, it can be found by using the poitn slope formula

then, let

P1=(0,-4)

slope=1/4

replace and isolate y

Step 3

finally, we need the shaded region, it means all the values over the line, in other words, the values greater than the function, so

therfore, the answer is

I hope this helps you

Answer:

To find the value of x in the equation 3x + 5 = 14, you can follow these steps:

Subtract 5 from both sides of the equation:

3x + 5 - 5 = 14 - 5

Simplifying this gives you:

3x = 9

Divide both sides of the equation by 3:

3x/3 = 9/3

Simplifying this gives you:

x = 3

Therefore, the solution to the equation 3x + 5 = 14 is x = 3.

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = \(\sqrt{(12)^2 -(8)^2}\)

y = 8.9

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Answer:

−61

Step-by-step explanation:

Let's solve your equation step-by-step.

6(x+11)=−300

Step 1: Simplify both sides of the equation.

6(x+11)=−300

(6)(x)+(6)(11)=−300(Distribute)

6x+66=−300

Step 2: Subtract 66 from both sides.

6x+66−66=−300−66

6x=−366

Step 3: Divide both sides by 6.

6x/6 = -336/6

x= −61

Answer:

x = 10^34

Step-by-step explanation:

length × width = area

area/length = width

width = (1.12 × 10^45 ft²)/(7 × 10^11 ft)

width = 1.12/7 × (10^45)/(10^11)   ft

width = 0.16 × 10^34  ft

width = 1.6 × 10^34  ft

width = 1.6 × x  ft

x = 10^34

The value of x is \(10^3^2\)  or \(\rm x =10^3^2\)

It is given that the area of a rectangular field is  \(\rm 1.12\times10^4^5 \ feet^2\)

It is required to find the value of x

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have:

Area of rectangle = \(\rm 1.12\times10^4^5 \ feet^2\)

The length of the rectangle = \(7\times 10^1^1\) feet

The width of the rectangle = \(\rm 1.6\times 10x\) feet

After putting the values in the formula, we get:

\(\rm 1.12\times10^4^5 =7\times 10^1^1\times\rm 1.6\times 10x\)

\(\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\)

\(\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\\\rm x = 0.1\times 10^3^3\)

\(\rm x =10^3^2\)

Thus, the value of x is \(10^3^2\)

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Answer:

The answer is y = -1/3x + 5 !

Step-by-step explanation:

If you observe the line, the y-intercept is 5, from the point in the graph (0,5). From that point, we can see that the rise over run is -1/3. Thus, y = -1/3x + 5.

Answer:

The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:

Hence, option 'A' is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

In our case, we are given

substituting m = 2 and b = 4 in the slope-intercept form of the line equation

y = mx+b

y = 2x + 4

Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:

Hence, option 'A' is correct.

Answer:

Step-by-step explanation:

y - 4 = 5/4(x - 8)

y - 4 = 5/4x - 10

y = 5/4x - 6

Answer:

25

Step-by-step explanation:

When answer questions about unique combinations, there are usually two ways people go about finding the solutions.

First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.

The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.

So,

5 runners * 5 lanes = 25 possible combinations for each lane and runner

The number of unique ways that the runner can be arranged in 5 lanes for a race is 120.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Total number of runners = 5

Total number of lanes = 5

Number of ways that 5 runners can be arranged = 5! = 120

Hence the number of ways is 120.

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Answer:

59.4/ 82.5 = 9/12.5

Step-by-step explanation:

6.6/p = 9/12.15

A fraction equal with another fraction, so we can cross multiply to to have a multiplication equal another multiplication.

6.6 * 12.5  = 9* p

To isolate p (our unknown) we divide both sides by 9

( 6.6 * 12.5) /9   = (9* p)/ 9

( 6.6 * 12.5) /9   = p

82.5 / 9 = p

The proportion is:

6.6/p = 9/12.15, substitute p = 82.5 / 9

6.6/(82.5/9) = 9/12.15, use that: a / (b/c) = (a/1 )*(c/b) = (a*c) / b

(6.6*9)/82.5 = 9/12.5

59.4/ 82.5 = 9 /12.5

Answer:

fffffffffffffffffffffffffffff

Step-by-step explanation:

Answer: A power of 10 is as many number 10s as indicated by the exponent multiplied together. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

to find the Area of a Triangle, you have to multiply the base times the height of the triangle to find the Area.

Step-by-step explanation:

For example..

If the Base ( bottom part of the triangle) was 10 and the height ( the vertical line of the triangle) was 5, you would multiply them together to get 50. So 5o would be the area of the Triangle.

Answer:

1/2 x b x h

Step-by-step explanation:

b= base

h= hieght

1.  Multiply your base by 1/2

2. Then multiply the sum of that by your hieght

Ex: A trianle with a base of 18 and hieght of 4

1. 1/2 x 18 = 9

2. 9 x 4 = 36

Answer: (h-g)(-2)=18

Step-by-step explanation:

(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.

Method 1

h(-2)=2(-2)²-5(-2)+2                   [exponent]

h(-2)=2(4)-5(-2)+2                      [multiply]

h(-2)=8+10+2                               [add]

h(-2)=20

g(-2)=(-2)²-2(-2)-6                       [exponent]

g(-2)=4-2(-2)-6                            [multiply]

g(-2)=4+4-6                                 [add then subtract]

g(-2)=2

(h-g)(-2)=20-2                            [subtract h(-2) and g(-2)]

(h-g)(-2)=18

--------------------------------------------------------------------------------------------------------

Method 2

(h-g)(x)=2x²-5x+2-(x²-2x-6)      [distribute -1]

(h-g)(x)=2x²-5x+2-x²+2x+6        [combine like terms]

(h-g)(x)=x²-3x+8

(h-g)(-2)=(-2)²-3(-2)+8                [plug in x=-2, exponent]

(h-g)(-2)=4-3(-2)+8                    [multiply]

(h-g)(-2)=4+6+8                          [add]

(h-g)(-2)=18

--------------------------------------------------------------------------------------------------------

Now, we know that (h-g)(-2)=18. We confirmed this with both methods.

The area in square feet of the part of the backyard in which Shayne is allowed to dig is option D: 272 ft².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The length of the rectangle ADEH is 17 ft.

The breadth of the rectangle ADEH is 22 ft.

The length of the rectangle ABGH is 17 ft.

The breadth of the rectangle ABGH is -

GH = (EH - GE)

GH = [EH - (GF + EF)]

GH = [22 - (6 + 14)]

GH = [22 - 20]

GH = 2 ft

The formula for the area of a rectangle is -

Area = Length × Breadth

The area of part where Shayne is allowed to dig is -

Area = [Area of ABGH + Area of CDEF]

Area = [(17 × 2) + (17 × 14)]

Area = [34 + 238]

Area = 272 ft²

Therefore, the value for area is obtained as 272 ft².

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Answer:

c

Step-by-step explanation:

2 x 2=4

2 x 2 =4
2 x 2 = 4

4 ^3 = 64

48 x 3 =192
Or:
192/2 = 96
96/2=48
48/2 = 24

24/2= 12
12/3=4

4/2=2
2 x 2 x 2 x 2 x 2 x 2 x 3

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86