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Answer:

since the sum of interior angles of hexagon is 720 °

you add the known angles

ie 115 +90+145+160

you get 510

subtract it from 720

you get 210

divide 210 by 3

you get 70

angle cde is 140

Answer:

∠ CDE = 140°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let ∠ DEF be x then ∠ CDE = 2x

sum the interior angles and equate to 720

160 + 90 + 145 + 115 + 2x + x = 720 , that is

510 + 3x = 720 ( subtract 510 from both sides )

3x = 210 ( divide both sides by 3 )

x = 70

Then

∠ CDE = 2x = 2 × 70 = 140°

Answer:

Domain = x > 2 , Range = {R}

Step-by-step explanation:

The given function to us is ,

[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]

Since logarithm are defined only for positive numbers therefore ,

=> (x - 2) > 0

=> x > 2

Therefore the domain of the function is x > 2 and it can have all positive real numbers .

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

Answer:

(-3,-8)

....................................................................................................................................

hope it helped

Answer:

1.  3.6 times 10   -4      2. 800;0  the last one is 7.92 times 10 7

Step-by-step explanation:

.

Answer:

It should be 1000 miles

Step-by-step explanation:

If you draw the picture out, you will find as the x-axis part is the same, so the distance will simply be 12 -2 = 10 units, and 1unit = 100 miles, so distance is 100 * 10 = 1000 miles.

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

Step-by-step explanation:

The answer is B and C

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

Answer:

1,3,4

Step-by-step explanation:

Just did it

Answer:

b. -6 and 6

Step-by-step explanation:

Answer:

B. -6 and 6.

Step-by-step explanation:

It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!

Answer: yes it’s 78$

Step-by-step explanation: The difference is 42.00

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

Learn more about Exponential growth rate, click;

https://brainly.com/question/503551

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Answer:

30

Step-by-step explanation:

x=30 (being corresponding angle)

Answer:

25/48 = 30/x

25x = 1440

x = 57.6

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer:

14

Step-by-step explanation:

18-18+8+6

0+14

14

hope this helped!

Answer:

Step-by-step explanation:

F = 6

P = 2

Then:

3.(6) - 9.(2) + 8 + 6

18 - 18 + 8 + 6

8 + 6

14

;D

Answer:

7.17 km

Step-by-step explanation:

Given that:

Distance in kilometers traveled by motorcycle = 3.85 km

Distance in kilometers traveled by horse = 3.32 km

Total distance of journey in kilometers /

3.85 km + 3.32 km

= 7.17 kilometers

Answer:

66%

Step-by-step explanation:

Answer: 4x -8+ 125x -4x +5

Answer:

1/3(x-1)

Step-by-step explanation:

1/3x - 1/3

Both terms have a greatest common factor of 1/3

1/3 *x - 1/3 *1

Factor out a 1/3

1/3(x-1)

Answer: 3.5 miles

Step-by-step explanation:

C=2 √πA = 2 x √π x 1 = 3.5

Answer:

x = 11

Step-by-step explanation:

Equation:

(5x+1) + (12x-8) = 180

You are doing this because both sides on a straight line add up to 180 degrees. The two angles would add up to 180 degrees since they are on the one side of the line.

Simplifying:

(5x+12x) + (1-8) = 180

Add your common variables together; keep in mind that variables are placed before numbers.

Adding:

17x-7 = 180

Process:

To do this, you are going to simply do the opposite operation for the number without the variable on both sides of the equal sign.

17x - 7 = 180

     + 7    + 7

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

17x = 187

-----   ------

17       17

x = 11

You divided by 17 on both sides because you needed to get the x variable by itself. Hope this helped! :)

Answer:

Situation B

Step-by-step explanation:

Which situation will get you a greater number of servings? (Lesson 4)

Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup.

2/3 cup = 3 quarts

1 cup = x quarts

Cross Multiply

2/3 cup × x = 1 cup × 3 quarts

x = 3 ÷ 2/3

x = 3 × 3/2

x = 9/2

x = 4 1/2 quarts

Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.

3/4 cup = 4 quarts

1 cup = x quarts

Cross Multiply

3/4 cup × x = 1 cup × 4 quarts

x = 4 quarts ÷ 3/4 cups

x = 4 quarts × 4/3 cups

x = 16/3 quarts

x = 5 1/3 quarts

Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

The total part = 7+10= 17

let the number of boys and girls be x

applying the part to all method

7/17= 35/x

cross multiply

7x= 35*17

7x=595

x=595/7

x= 85

Hence the number of girls is

=85-35

=50 girls

Answer:

x > 12

Step-by-step explanation:

9x>108

x> 108/9

x > 12

Answer:

[tex] \boxed{ \tt{x > 12}}[/tex]

Step-by-step explanation:

[tex]9x > 108 \\ x > \frac{108}{9} \\ x > 12[/tex]

Answer:

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

Step-by-step explanation:

The centre is located at the midpoint of the diameter.

Using the midpoint formula , then

centre = [tex]\frac{-10+8}{2}[/tex], [tex]\frac{-5+4}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-1}{2}[/tex] ) = (- 1, - [tex]\frac{1}{2}[/tex] )