Can all arithmetic sequences be modeled by a linear function?

Answer:

The correct corresponding part is;

[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])

Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC

Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]

Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]

Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

Answer:

126

Step-by-step explanation:

In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.

(((x / 42) * 8) + 10) = 34   ... subtract 10 from both sides

((x / 42) * 8) = 24 ... divide both sides by 8

(x / 42) = 3  ... multiply both sides by 42

x = 126

Finally, we can see that the initial value was 126

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

Answer:

This is too confusing

Step-by-step explanation:

I don't know how to answer this properly sorry

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The solution of the given inequality is set of all x such that x < 14.

Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.

There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.

Linear inequalities will have the highest degree of the variable equals 1.

Given a linear inequality,

25x - 100 < 250

Adding both sides of the inequality with 100,

25x - 100 + 100 < 250 + 100

25x < 350

Dividing both sides of the inequality by 25,

25x / 25 < 350 / 25

x < 14

Hence the value of x in the inequality is all the values of x which are less than, < 14.

To learn more about Inequalities, click on the link given here :

https://brainly.com/question/20383699

#SPJ2

Answer:

1260

Step-by-step explanation:

First you will need to find the amount of sides of the polygon:

(After looking it is 9)

Each angle of the side of a nonagon is 140 degrees.

Multiply by 9 since you can make 9 triangles:

140 x 9 = 1260

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

9 1/2 ÷ 3/5

19/2 * 5/3

95 / 6

= 15.8 guest

Hence, greatest Number of guest that can be served = 15

Answer:

what subjet is this

Step-by-step explanation:

Answer:

i believe the y intersept is -4

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

Step-by-step explanation:

35

Answer:

x=78; x=56

Step-by-step explanation:

For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:

102+x=180

Subtract 102 from both sides:

x=78

For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:

34+x=90

Subtract 34 from both sides:

x=56

Answer:

6×6×6 = 6³

Step-by-step explanation:

Answer:

6 x 6 x 6 = 216 I believe that's right

Answer:

The answer is 5.

Step-by-step explanation:

Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.

Answer:

TRUE and FALSE  (please look at step-by-step)

Step-by-step explanation:

How to know if it's true or false, you just simply plug in the given numbers to the x and y values.

x = -3

y = 11

for the x - 3y = -36 equation:

-3 -3(11) = -36

-3 - 33 = -36

This equation is true.

for the 3x + 4y = 48 equation:

3(-3) + 4(11) = 48

-9 + 44 = 35

This equation is false.

Answer:

6 sq. in

Step-by-step explanation:

To find area of triangle: base* height *1/2

height needs to be at a 90 degree angle from the base.

In this example, the base is 3 in, and the height is 4 in.

Plug these two into the equation

3 * 4 * 1/2 = 12 * 0.5 = 6

Answer:

I'm pretty sure you need more information, but I could be wrong

Step-by-step explanation:

Answer:

it's 74

Step-by-step explanation:

A and C are supplementary, that means that they add up to 180.

We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.

Answer:

A  B  D

Step-by-step explanation:

A 38+4=42

B 4+15=19

C 18= 20-2

D 32= 36-4

E 52-6=46

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

Answer:

-15

Step-by-step explanation:

3*-7=-21+6=-15

Answer:

Step-by-step explanation:

first multiply -7 and 3 since -7 is the element of the function (x)

then you should get (-21)

now add 6 and you answer should be (-15)

Answer:

8. 14 for the third question.

9. 18 for the forth question.

Step-by-step explanation:

the third and forth orange equations.

Answer:

U didn't say how many miles Rita drove.

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

Answer:

(2, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Step 5: Solve for y