HOW MANY DEGREES IN A COMPLIMENTARY ANGLE???

Answer:

180-87 = 93

Step-by-step explanation:

supplementary angles add up to 180°

so (the other angle + 87)=180°

other angle =180-87=93°

Answer:

93 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees. Therefore, the equation for finding the supplementary angle to 87 would be:

[tex]87 + x = 180\\x=180-87\\x=93[/tex]

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Answer:

The forest will cover an area of approximately 2994 square kilometers after 10 years.

Step-by-step explanation:

A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.

We can write an exponential function to represent the situation. The standard exponential function is given by:

[tex]\displaystyle f(x) = a(r)^x[/tex]

Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).

Since the original area is 5000 square kilometers, let a = 5000.

Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.

Thus, our function is:

[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]

Then after 10 years (x = 10), the area will be:

[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]

In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.

Answer:

It is Tn = 9n - 11

Step-by-step explanation:

It is an arithmetic progression:

[tex]T_{n} = a + (n - 1)d[/tex]

a is the first term, a = -2

n is number of terms

d is common difference, d = 7-(-2) = 9

[tex]T_{n} = - 2 + \{ (n - 1) \times 9 \} \\ T_{n} = - 2 + 9n - 9 \\ T_{n} = - 11 + 9n \\ T_{n} = 9n - 11[/tex]

Answer:

[tex]T_{n}[/tex] = 9n - 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

7 - (- 2) = 16 - 7 = 9

This indicates the sequence is arithmetic with nth term

[tex]T_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = 9 , then

[tex]T_{n}[/tex] = - 2 + 9(n - 1) = - 2 + 9n - 9 = 9n - 11

Answer:

[tex](\frac{-5}{2} ,-1)[/tex]

Step-by-step explanation:

(-2 + -3)/2 , (-10+8)/2

-5/2,-1

Answer:

44

Step-by-step explanation:

Take the miles you already traveled and subtract it from the total.

73-29=44

Answer:

c. {1/15,16,1/17,18}

Step-by-step explanation:

please follow me

Answer:

[tex]{ \sf{set \:A \: and \: B }}[/tex]

Step-by-step explanation:

steps are in the picture.

Note:If you need to ask question about it ,i can make you understand.thanks

Step-by-step explanation:

-9(1-10n)-2(3n+9)

-9+90n-6n-18

-9-18+90n-6n

-27+84n

3(-9+28n)

Answer:

16 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

Answer:

option a

Step-by-step explanation:

all positive real numbers

Answer:

5

Step-by-step explanation:

Given:

77 + 20 = 97

450 + 20 = 470

Keep multiplying 97 with random numbers until it passes 470.

97 × 4 = 388

97 × 5 = 485

So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.

Hope this helped.

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

Each child receives

number of apples divided by number of children, that is

each child receives [tex]\frac{x}{y}[/tex] apples

Answer:

for additive inverse you change the sign of the given number so i think its 7

Step-by-step explanation:

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

2x-5y+7z=6

x-3y+4z=3

3x-8y+11z=11

Answer:

qss-qvcj-kwr join guys iam bored

Answer:

x=1,296

Step-by-step explanation:

6x=7,776

  x=7,776/6

   x=1,296

Answer:

[tex]3^{4}[/tex]

Step-by-step explanation:

                 81

               27    3

            9  3    

        3  3

3*3*3*3 = [tex]3^{4}[/tex]

Answer:20 minutes per pound

we know that

To find the unit rate divide the total time by the total weight

Convert mixed number to an improper fraction

Convert hours to minutes

so

Find the unit rate

therefore

20 minutes per pound

Answer:

180 degrees

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The equation of direction variation is

y = kx where k is the constant of variation

y = 7x  so 7 is the constant of variation

Answer:

7

Step-by-step explanation:

The equation of direction variation:-  

y = kx where k is the constant of variation -> Eq 1  

y = 7x  -> Eq 2

Comparing Eq 1 and Eq 2,

k=7

H ;-)

x = -3 and y = -2

2x² - 5xy - y³ =

= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =

= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =

= -12 + 8 = -4

Answer:

[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]

Answer:

In transformations a reflection across the x axis produces a mirror image.

Answer:

D. 10

Step-by-step explanation:

[tex]{ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}[/tex]

Step-by-step explanation:

3+21+7+3+21+7

Step-by-step explanation:

x<1

x<(1/3)

yes this is the answer

Answer:

just solve equation and you will get to know that

15 is d becoz both 8 gets cancelled

and

16 is b becoz then equation is simplified to x = smthng