1. Define Line, Line segment and Ray.
2. Define Complementary Angles.
3. Define Supplementary Angles.
4. Define Adjacent Angles.
5. Define Linear Pair

Answer:

Step-by-step explanation:

Factor into primes

32: 2*2*2*2*2

48: 2*2*2*2*3

64: 2*2*2*2*2*2

The highest common factor is 2*2*2*2 = 16

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n

Step-by-step explanation:

Answer:

54ab

Step-by-step explanation:

the only two factors of 54ab^2 and 54ab is 1 and 54ab and the greatest of that would be 54ab.

Answer:

10n+(10 x 15)

or

(10 x n)+150

either way it would be 270

Answer:

Step-by-step explanation:

Given,

7+5(x-3)=27+5(x−3)=22

(Taking one of the equation)

=> 7 + 5(x - 3) = 22

=> 7 + 5x - 15 = 22

=> 5x = 22 + 15 - 7

=> 5x = 30

[tex] = > x = \frac{30}{5} [/tex]

=> x = 6 (Option c)

Answer:

Solve the equation for x:

Correct choice is c

Answer:

x^2 = 5

x = ±√5

Answer:

x = ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

x² = 5 ( take the square root of both sides )

x = ± [tex]\sqrt{5}[/tex] , that is

x = [tex]\sqrt{5}[/tex] or x = - [tex]\sqrt{5}[/tex]

Answer:

[tex] \frac{ {12}^{8} }{ {12}^{4} } \\ = \frac{ {12}^{4} \times {12}^{4} }{ {12}^{4} } \\ = {12}^{4} =20736 \\ thank \: you[/tex]

Here's the solution :

[tex] \hookrightarrow \dfrac{12 {}^{8} }{ {12}^{4} } [/tex]

[tex] \hookrightarrow 12 {}^{8} \times {12}^{ - 4} [/tex]

[tex] \hookrightarrow12 {}^{4} [/tex]

Answer:

31 Minutes

Step-by-step explanation:

4.78 = 0.15 + 0.58

0.15m = 4.78 - 0.58

m = 4.78 - 0.58 divided by 0.15 = 28 minutes

So in total we have 28 + 3 = 31 minutes

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                           = 59 miles per hour

The Cheetah is faster than the American Antelope

Answer:

Step-by-step explanation:

The American Antelope is going at a rate of 1583 meters / minute

1583 m [ 1 km / 1000 m ] = 1.583 km / minutes

In an hour, the Antelope will go 1.583 km / minute * 60 min / hour

1.583 * 60 = 94.98 km / hour

The cheetah is going 61 miles / hour * 1.6 km / mile  = 97.6 km/hour

The Cheetah is  not going to go hungry tonight.

Answer:

5.5

Step-by-step explanation:

3x + 15 - 7x = -7

-4x + 15 = -7

-4x = -7 -15

-4x = -22

x = -22/-4 = 5.5

Answer: bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)

Step-by-step explanation:

It looks like geometrical sequence, each next generation is three times greater than previous one. So the r of this sequence is 3.

The first generation has 150 representatives, so b1=150

The formula of geometrical sequence is bn=b1*r^(n-1)

(in our case bn is a quantity of bacteria in generation n)

so bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)

Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

14/3 ÷ 4

14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

Answer:

a because I dont know why but some one told me it was this

Answer: A. There are three terms

Concept:

In an algebraic expression, there are several specific terms:

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

a. There are three terms. [tex]\boxed{FALSE}[/tex]

- 14b

- -7

- 8b

- b

There are in total four individuals, which means there are four terms.

b. There is one constant term. [tex]\boxed{TRUE}[/tex]

- 14b is a [variable + coefficient]

- -7 is a [constant]

- 8b is a [variable + coefficient]

- b is a [variable]

Therefore, there is one constant term.

c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]

- 14b →→→ 14 is the [coefficient]

- -7 →→→ is a [constant]

- 8b →→→ 8 is the [coefficient]

- b →→→ 1 is the [coefficient]

Therefore, 14, 8, and 1 are coefficients.

d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]

- 14b →→→ b is the [variable]

- -7 →→→ is a [constant]

- 8b →→→ b is the [variable]

- b →→→ b is the [variable]

Since 14b, 8b, and b share the common variable, there are three like terms.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

profit of $140,910

there is a missing number I will assume that the probability is 1 in 11,000

company expected revenue per policy = $600

companies expected expense = 400,000 * (1/11,000) = -36.36

profit per policy = $536.64

$536.64*250 = $140,910

Step-by-step explanation:

Answer:

The other angle is also 45°

Step-by-step explanation:

They are corresponding angles.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

Hi there!

Given;

f(x) = 17x + 9

h(x) = 4x

To find: f(x)-h(x)

f(x)-h(x)= 17x + 9 - 4x

= 13x + 9

Therefore, f(x)-h(x) = 13x + 9.

Hope it helps!

Answer:

17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

We can find the missing angle inside the triangle by doing 180 - 94 = 86.

Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.

60 + 86 + 2x = 180

146 + 2x = 180

Subtract 146 from both sides

2x = 34

Divide by 2 to isolate x

x = 17

Hey there! I'm happy to help!

The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.

Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.

So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)

So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.

Have a wonderful day and keep on learning! :D

Answer:

8) her hair was 8 inches long

Answer:

[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]

I hope I helped you^_^

Answer:

(2,2)

Step-by-step explanation:

(5+-1/2,8+-4/2)

(-2,2)

Answer:

Step-by-step explanation:

The value of the angle x is 85°

The sum of angles of a quadrilateral = 360°

This means that given a quadrilateral with angles, A, B, C, D ;

(A + B + C + D) = 360°

Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)

The value of x will be obtained thus :

(x + 150 + 77 + 48) = 360

150 + 77 + 48 + x = 360

275 + x = 360

x = 360 - 275

x = 85°

Hence, the value of x is 85°

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