Solve for x using the figure to the right.

Answer:

x = 41

y = 65

z = 107

Step-by-step explanation:

y and 65 are vertically opposite angles. Vertically opposite angles are equal.

y = 65

74 + y + x = 180

74 + 65 + x = 180

139 + x = 180

x = 180 - 139

x = 41

z is the exterior angle, whereas 66 and x are interior angles in a triangle.

Formula : -

Exterior angle = Sum of two interior angles

z = 66 + x

  = 66 + 41

z = 107

Answer:

56.6 cm is the answer

use formula 1/2 πD+ D

The mean, median and mode are measures of central tendency, that is they tend to indicate the location middle of the data

Required values;

(a) The performance for the week for Park Street

The performance for the week for Bridge Road

(b) The mean is $3611

The median is $3,600

The standard deviation is $3250

The Interquartile range is $6075

Reason:

The table of values that maybe used to find a solution to the question is given as follows;

[tex]\begin{array}{|l|l|l|}\mathbf{Variable} &\mathbf{Park}&\mathbf{Bridge}\\N&36&40\\Mean&6611&5989\\SE \ Mean&597&299\\StDev&3580&1794\\Minimum&800&1800\\Q_1&3600&5225\\Median&6600&6000\\Q_3&9675&7625\\Maximum&14100&8600\end{array}\right][/tex]

(a) Park Street revenue = $7,500

Bridge Road's revenue = $7,100

The two stores sold close to but below the 75th percentile

Bridge Road revenue;

The z-score is given as follows;

[tex]Z = \dfrac{x - \mu }{\sigma }[/tex]

From the Z-Table, we have;

The percentile= 0.7291

Park Street revenue;

The z-score is given as follows;

From the Z-Table, we have;

The percentile = 0.5987

(b) Given that the operating cost is $3,000, frim which we have;

The subtracted value is subtracted from the mean and median to find the new value

Profit = The revenue - Cost

New mean = 6611 - 3000 = 3611

The new median = 6600 - 3000 = 3600

The standard deviation and the interquartile range remain the same, therefore, we have;

The interquartile range = 9675 - 3600 = 6075

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Answer:

need coordinates of each or side lengths of each to solve

Hello!

Answer:

-11

Hope this helps!

Answer:

we gotta find compound amount here..

CA=compound amount

P=principal

R=rate of interest

T=time

Answer:

1) x= -8

2) x=7

Step-by-step explanation:

1) x+88+x+108 = 180 ( co-interior angles)

=> 2x+ 196 = 180

=> 2x= 180-196

=> 2x= -16

=>x= -16/2

=>x= -8

2) 7x+6=8x-1

=>7x-8x= -1-6

=>-x= -7

=>x= 7

Answer:

120

Step-by-step explanation:

Make a chart:

Lines:                  0   1    2   3  4   5   6

Closed regions: 0   0   0   1   3   6   10

Find the number of numbers using the formula:

[tex]\frac{first term + last term}{2}[/tex] x 14 = [tex]\frac{2 + 15}{2}[/tex] x 14

                                  = 8.5 x 14

                                  = 119

119 + 1 = 120

(add 1 because we didn't count the first line in the formula)

I hope this helps :)

The total number of closed regions is 120.

Given that,

Seventeen lines are drawn in a plane, with no three concurrent and no two parallel, dividing the plane into closed regions (bounded on all sides) and open regions.

Used the formula to calculate the number of closed regions with n sides is,

Number of sides = (n - 1) (n - 2) / 2

Here, n = 17

Hence, The number of closed regions is,

Number of sides = (n - 1) (n - 2) / 2

Number of sides = (17 - 1) (17 - 2) / 2

Number of sides = 16 × 15 / 2

Number of sides = 120

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Answer:

4+(-2) = 2

-5+(-5)=-10

Step-by-step explanation:

Step-by-step explanation:

it is very easy solve I will tell you if u follow me we should help each other

Answer:

I think if you want to enlarge it add 10 to all three sides to get the sides of 13 16 and 16

Answer:

7.0564516129

Step-by-step explanation:

Use 175 and divide 24 4/5 from that, then you find out how much the land moves each year.

Answer:

8.25 for the 33$ and aporximately 7.63 for the 61$

Step-by-step explanation:

calculators exist

Answer:

Step-by-step explanation:

The simple formula for slope is: [tex]\frac{rise}{run}[/tex] or "rise over run".

The rise is 3 and run is 2.

Hope it helped :)

The hourly fee is $3.00 per hour.

It is required to find the hourly fee for the rototiller.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let h represents the hourly fee.

Let C be the total charge and t be the rental time in hours.

C = ht + 43

Putting the given values into the equation, we get:

64 = 7h + 43

7h = 21

h = 3

Therefore, the hourly fee is $3.00 per hour.

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Answer:

if you need to know the total, it would be $1.60 :)

Answer:

71/ 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

428÷107

Use the 1 st

 digit 4 from dividend 428

107)1

107)428

​

​ Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient

107)02

107)428

​

​Use the 2nd

 digit 2 from dividend 428

107)03

107)428

​

​

Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient

107)004

107)428

​

Use the 3rd

 digit 8 from dividend 428

107)005

107)428

​

​ Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.

107)0046

107)428

​

 107)428

​

 107)9990

​

 Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

Quotient: 4

Reminder: 0

Answer:

[tex]x1 = 3 \\ y1 = 10 \\ x2 = 5 \\ y2 = 12 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 10 = \frac{2}{2} (x - 5) \\ y = x - 5 + 10 = x + 5[/tex]

enjoy it

Answer:

Hi and heres your answer!

Step-by-step explanation:

The crisis of biodiversity will lead to a food crisis for humans because:

1.No varieties in certain foods like plants and animals that are healthy

2.The Less food there is,more animals go extinct which means humans will go extinct too.

and finally 3: Without certain types of species like the bee, humans have no chance of survival (since bees pollinate flowers,fruits,and plants which could be used for human consumption and medicine)

Hope this helped

Plz mark brainliest

Dont forget smash that heart at the bottom <3

Have a great day,Youre amazing!

Answer:

[tex](gof)(x) = -5 {x}^{2} + 35x + 34[/tex]

Step-by-step explanation:

[tex](gof)(x) = g(f(x)) \\ = - 5( {x}^{2} - 7x - 9) - 11 \\ = - 5 {x}^{2} + 35x + 45 - 11 \\ = - 5 {x}^{2} + 35x + 34[/tex]

I hope I helped you^_^

Answer:

The 2nd answer would be the correct option.

Step-by-step explanation:

Hope this helps:) Also can I have brainliest if possible:) It is ok if you can not.

-7.5x = -5.61 - 0.39

x = -6 /-7.5

x = 0.8

Answer:

no sorry

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The function f is defined by g(x) = -2x-1. so the function defined as g (-4) will be equal to g (-4) = 7.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f is defined by g(x)=−2x−1

We need to find the function defined as g(-4).

Then substitute;

g(x)=−2x−1

g(-4 ) =−2 (-4) − 1

g(-4 ) = 8 -1

g(-4 ) = 7

Therefore, The function f is defined by g(x) = -2x-1. so the function defined as g (-4) will be equal to g (-4) = 7.

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Answer:

The quotient will be less than the divisor, 34.

Step-by-step explanation:

The only way the quotient could be equal to or greater than the divisor if it the number is greater than the divisor squared.

Answer:

y = 1/5x - 7/5

Step-by-step explanation:

y = 1/5x + b

-1 = 1/5(2) + b

-1 = 2/5 + b

-7/5 = b