Which is a true statement about an exterior angle of a triangle?


A. It is formed by two segments that are sides of the triangle.


B. It forms a linear pair with one of the interior angles of the triangle.


C. It is formed by two segments that are not sides of the triangle,


D. It is complementary to one of the interior angles of the triangle.

Answer:

See below

Step-by-step explanation:

Part 1 -

x: number of hours worked

y: total income

This is written as → y = f(x)

Part 2 -

y = 15*x

Part 3 -

f (35) = 15 × 35 = $525

f (29) 15 × 29 = $435

Week 1 - Ashley worked 35 hours with a total income of $525.

Week 2 - Ashley worked 29 hours with a total income of $435.  

Answer:

slope = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)

m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]

Answer:

7/5

Step-by-step explanation:

m=y2-y1/x2-x1

7-0=7

2-(-3)=5

7/5

Answer:

x = 25

Step-by-step explanation:

Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)

Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:

c^2 - a^2 = b^2

50^2 - 25^2 = b^2

2500 - 625 = b^2

1875 = b^2

√1875 = b

43.30127019

now you put that into the expression: x√3:

x√3 = 43.30127019

x = (43.30127019) ÷ (√3)

x = 25

Hope this helped!

Answer:

1/4+1/16+1/64+1/256+1024

Sorry if i am wrong                                

If i am right please make me brainliest

Answer:

341/1024 (or) 0.333

Step-by-step explanation:

1st) 1/4 of 1 = 1/4

2nd) 1/4 of 1/4 = 1/16

3rd) 1/4 of 1/16 = 1/64

4th) 1/4 of 1/64 = 1/256

5th) 1/4 of 1/256=1/1,024

so 1/4+1/16+1/64+1/256+1/1024with the same common denominator is

256/1024+64/1024+ 16/1024+4/1024+1/1024=

341/1024

Answer:

[tex]x=36^{\circ}[/tex]  is the required answer.

Step-by-step explanation:

The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]

[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]

[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.

Best Regards!

The value of x is,

⇒ x = 36

Since, We have to given that,

The figure is composed of a regular pentagon and a rectangle.

We know that,

Since, Sum of all the angles of a regular pentagon is, 540 degree

Hence, Each angle of a pentagon is,

⇒ 540 / 5

⇒ 108 degree

So, By given figure we get;

⇒ x + 108 + x = 180

(By linear pair angles)

⇒ 2x + 108 = 180

·⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

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Answer:

? = 9.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]

30 (? + 54) = 54 * 35

30? + 1620 = 1890

3? + 162 = 189

3? = 27

? = 9

Hope this helps!

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or [tex]4\ \text{inch}^3[/tex].

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or [tex]\text{cm}^3[/tex].

[tex]4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3[/tex]

So, the volume of the ball is 65.548 cm³.

Answer:

[tex](x + 3)^2 + (y- 2)^2 = 4[/tex]

Step-by-step explanation:

A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by

(x-a)^2 + (y-b)^2 = r^2

______________________________________

In the problem

we have

center as (-3,2) while radius is 2 units.

Thus, it equation can be written based on above discussion as

a = -3,  b = 2 r =2

[tex](x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4[/tex]

thus, correct choice is option third.

Answer:

11 weeks

Step-by-step explanation:

He has 85 and can save 29 each week.  This must be greater than the cost of the tv

85 + 29 w > 395.50

Subtract 85 from each side

85 -85 + 29 w > 395.50-85

29w >310.50

Divide by 29

29w/29 > 310.5/29

w >10.70689655

The number of weeks must be greater than 10.7 so rounding up

He must save for at least 11 weeks

Answer:

D

Step-by-step explanation:

Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent

KM = LM = 5

Δ MJK is isosceles ( base angles are congruent ), thus

MJ = KM = 5 , substitute value

x + 1 = 5 ( subtract 1 from both sides )

x = 4 → D

x=4

Step-by-step explanation:

all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4

Answer:

m(∠OAC) = 52°

Step-by-step explanation:

A, B and C are the pints on a circle with center O.

m(∠ABC) = 38°

By the central angle theorem,

"Central angle subtended by two points on a circle measure the twice of the inscribed angle subtended by these points."

m(∠AOC) = 2m(∠ABC)

m(∠AOC) = 2 × 38° = 76°

Now in ΔAOC,

AO and OC are the radii, so the angles opposite to radii will measure the same.

∠OAC ≅ ∠OCA

Since, sum of all the interior angles of a triangle is 180°.

m(∠OAC) + m(∠OCA) + m(∠AOC) = 180°

m(∠OAC) + m(∠OAC) + 76° = 180°

2m(∠OAC) = 180° - 76°

2m(∠OAC) = 104°

m(∠OAC) = 52°

Answer:

given,

the points are(-4,-3) and (-7,5)

now, midpoint=

[tex] \frac{x1 + x2}{2} , \frac{y1 + y2}{2} [/tex]

or, midpoint =

[tex] \frac{ - 4 - 7}{2} ,\frac{ - 3 + 5}{2} [/tex]

therefore the midpoint is (-11/2,1)... ans

hope it helps..

Answer: s=36

Step-by-step explanation:

To solve for s, we can use our algebraic properties to solve.

[tex]\frac{1}{3}s+14=26[/tex]                    [subtract both sides by 14]

[tex]\frac{1}{3}s=12[/tex]                            [multiply both sides by 3]

[tex]s=36[/tex]

Answer:

The answer is s=36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Window is in the shape of rectangle

Area of the rectangular window = length * width

                                                     = 18 * 2

                                                     = 36 ft²

Answer:

36

Step-by-step explanation:

i got 100%(❁´◡`❁)

Answer:

B

Step-by-step explanation:

Answer: 121871

Step-by-step explanation:

Current population = 98000

Rate of increase = 3.7% / year

Total time = 2020 - 2014 = 6 years

Population in 2020 = 98000 * (1+ (3.7/100))^6

= 98000 * (1.037)^6  =  98000 * 1.243576 = 121870.505

Rounding off to nearest whole number we get the population = 121871

Answer:

121,871

Step-by-step explanation:

I took the quiz.

Answer:

512.

according to the instructions you are told to drag and carry the numbers in the box below to the correct destination in the sequence until the ninth value.

If its not correct drag to the trashcan to delete

Step-by-step explanation:

2, -4, 8, -16, 32, -64, 128, -256,512

that's the sequence to be filled in

Answer:

9.5 cakes

Step-by-step explanation:

Answer: You can only make 9 whole cakes

Step-by-step explanation:

You have 57 apples and you use 6 apples to make a cake .

To figure out the number of cakes you need to divide 57 by 6

You get 9 whole cakes with 3 apples left

Answer:

a = 1 ; b = -8 ; c = -5

Step-by-step explanation:

f(p) = p² - 8p  -5

a = co-efficient of p² = 1

b = co-efficient of p = -8

c = constant = -5

Answer:

domain: -5≤x<1

range: -4≤y<7

Step-by-step explanation:

The domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The domain means all the possible values of x and the range means all the possible values of y.

From the graph, the domain of the line segment will be [-5, 1) and the range of the line segment will be [-4, 7).

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Answer:

quadratic

Step-by-step explanation:

Linear function is represented by the data given on the table.

" Linear equation is an algebraic expression in which highest exponent of the given variables is one. It represent a straight line."

General form of linear equation

y = ax + b

According to the data given in the table,

When x = 0 , y = -3 ,

Substitute the given values of x and y in general form of linear equation

- 3 = a × 0 + b                          

⇒ - 3 = b                                 ____(1)

When x = 1 , y = 5

  5 = a × 1 + b                        

  5 = a + b                                         ____(2)

Substitute the value of b in (2) we get,

 5 = a + ( -3)

⇒ a = 8

Substitute the value of 'a' and 'b' in general form of linear equation and check whether it is true for other values of x and y.

y = 8x  - 3

check for the x = 2

   y = 8(2) -3

⇒ y = 13

Yes , it is correct.

When x =3

   y = 8 (3) - 3

⇒ y = 21

It is correct.

Hence, we conclude that Linear function is represented by the data given on the table.

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Answer:

? = 140

Step-by-step explanation:

Use similar triangles and laws of proportions.

36/56 = 90/?

36 * ? = 56 * 90

? = 56 * 90/36

? = 140

Answer:

144

Step-by-step explanation:

2(39+33)

2(72)

144

=144

Answer:

There are 243 ways but the balls in the boxes.

Step-by-step explanation:

There are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable by using counting principles and combinatorics

To solve this problem,  use the concept of the multiplication principle, also known as the multiplication rule of counting.

Here's a step-by-step explanation:

Determine the number of choices for each ball: Since the balls are distinguishable, we have 5 choices for the first ball, 5 choices for the second ball, and so on, until we have 5 choices for the fifth ball. This can be represented as:

[tex]5 \times 5 \times 5 \times 5 \times 5.[/tex]

Determine the number of choices for each box: Since the boxes are distinguishable, each ball can be placed in either box 1 or box 2. Thus, there are 2 choices for each ball. This can be represented as:

[tex]2 \times 2 \times 2 \times 2 \times 2.[/tex]

To find the total number of ways, we multiply the number of choices for each ball with the number of choices for each box:

Total number of ways [tex]= (5 \times 5 \times5 \times5 \times5) \times(2 \times2 \times2 \times2 \times2)[/tex]

On multiply gives:

=  3125\times 32 = 109,375.

Therefore, there are 109375 ways to put 5 balls in 2 boxes when the balls and boxes are distinguishable.

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Answer:

$135,629.37

Step-by-step explanation:

For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet

The value of the loan could come by

= $239,127 - $239,127 × 15%

= $203,257.95

The amount of interest saved is

= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)

= $135,629.37

Answer:

$54 for 4 months   $89 in total

Step-by-step explanation:

Lisa paid $35 at first

then she paid 0.75  per song which is 0.75 *18 = $13.5

Then just multiply 13.5 by 4 b/c of 4 months

The total amount Liza has spent after 4 months is $89.

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.

Given that, Lisa paid $35.00 to join an online music service, she purchases 18 songs each month at a cost of $0.75 per song,

we need to find the total amount she paid after 4 months,

So, the cost of 18 songs = 0.75 x 18 = $13.5

The cost of 18 songs in 4 months = $54

Now, the total amount she paid = $54 + $35 = $89

Hence, the total amount Liza has spent after 4 months is $89.

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Answer:

y=1/4x + 16

Step-by-step explanation:

Answer:

cccccccccccccccccccccccccccc

C!

Answer:

92.7

Step-by-step explanation:

1.38 ÷ 2.6 = .53076923

this means ↑that number is what percent shadows covers

49.25 ÷ .53076923 = 92.7 (roughly)