Using a Proportion based on similarity,find the length of DE. PLEASE HELP OMG

Answer:

Recursive:

[tex]f(1)=35, f(n)=f(n-1)+10[/tex]

Explicit:

[tex]f(n)=35+10(n-1)[/tex]

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

[tex]f(n)=a, f(n)=f(n-1)+d[/tex]

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

[tex]f(1)=35, f(n)=f(n-1)+10[/tex]

Explicit Rule:

The standard format for the explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

[tex]f(n)=35+10(n-1)[/tex]

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

[tex]f(20)=35+10(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]

Hence, the 20th term is 225.

Answer:

168x12 and u get ur answer

Step-by-step explanation:

just do 168x12

if it sells 168 tickets and each is $12, then:

12 x 168 = 2,016

total cost = $2,016

Answer:

Accounting for its formula,

The statue is roughly 12ft. tall

Answer:

a) (-2,2), (-1,-1), (1,-1), (3,7)

b) x=1.4

Answer:

a) (-2, 2), (-1, -1), (1, -1), (3, 7)

b) x = 1.4

Step-by-step explanation:

a) Plug in your x & solve for y.

[tex]y = (-2)^2 - 2\\y = 2\\y = (-1)^2 - 2\\y = -1\\y = (1)^2 - 2\\y = -1\\y = (3)^2 -2\\y = 7[/tex]

b) Same thing as a, but just plug in 0 for y & solve for x

[tex]0 = x^2 -2\\2 = x^2\\\sqrt(2) = x\\1.4 = x[/tex]

Answer:

I'm not sure but I think it's LDTC

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The percent change is approximately 55 %

Answer:

X = 12

Measure of exterior angle = 80

Step-by-step explanation:

Angles P and Q are equal to the right side of R ( solve for x )

Answer:

1/7x or 1/7

Step-by-step explanation:

the equation for slope is

y2-y1 over x2 minus x1, so basically it means that you find the second x which in this case is 12 and subtract the first x which is 5. 12-5 is 7

You also do -7 minus -6 for the y2-y1 stuff so it is -7 plus 6 cuz the double - signs cancel out to positive.

-7 + 6 is 1

1 over 7 is 1/7

Answer:

Choice C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Simplifying

6(2x + -1) = 4 + 7x

Reorder the terms:

6(-1 + 2x) = 4 + 7x

(-1 * 6 + 2x * 6) = 4 + 7x

(-6 + 12x) = 4 + 7x

Solving

-6 + 12x = 4 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 12x + -7x = 4 + 7x + -7x

Combine like terms: 12x + -7x = 5x

-6 + 5x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 5x = 4 + 0

-6 + 5x = 4

Add '6' to each side of the equation.

-6 + 6 + 5x = 4 + 6

Combine like terms: -6 + 6 = 0

0 + 5x = 4 + 6

5x = 4 + 6

Combine like terms: 4 + 6 = 10

5x = 10

Divide each side by '5'.

x = 2

Simplifying

x = 2

Step-by-step explanation:

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

Step-by-step explanation:

use this on your problem

Answer

2,1

Step-by-step explanation:

all the others or on one side besides that one with is on the line

The ordered pair which is not in the solution set of 2x – y > 3 is that which is a solution of the graph of 2x – y = 3 and is; (2, 1)

According to the question;

Evidently, among the choices of coordinates; only (2, 1) is a solution of the equation 2x – y = 3.

By testing;

As such, since (2,1) is a solution of the equation 2x – y = 3, it can't also be a solution of 2x – y > 3.

Read more:

https://brainly.com/question/21766426

Answer:

0.166666 in fraction form is 83333/500000.

Step-by-step explanation:

Answer:

600 people

Step-by-step explanation:

30x12=600.

Answer:

I honestly think its neither

Answer:

y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 28 = k

y = [tex]\frac{-28}{x}[/tex] ← equation of variation

When x = 5 , then

y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

The guy above me its right its B.

Step-by-step explanation:

Just did the quiz and got it right

Answer:

The answer is 75/50

Step-by-step explanation:

Answer:

75/W = 150/100

75/W = 3/2

W x 75/W = W x 3/2

75 = 3W/2

2 x 75 = 2 x 3W/2

150 = 3W

so the answer should be 50 = W

Answer:

c.  $120.75

Step-by-step explanation:

The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer:

Step-by-step explanation:

[tex]X + Y \geq 15\\\\10X + 5Y \leq 100[/tex]

we want to put it into terms of Y

[tex]y \geq 15 - x\\and\\5y \leq 100 - 10x\\y \leq 20 - 2x[/tex]

the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)

The solution of the inequalities is required.

One of the solutions is [tex](5,10)[/tex]

Number of dimes is [tex]x[/tex]

Number of nickels is [tex]y[/tex]

Minimum number of coins is 15.

So, [tex]x+y\geq 15[/tex]

Maximum total value of the coins is $1

So, [tex]0.1x+0.05\leq 1[/tex]

The equations are

[tex]x+y=15[/tex]

[tex]0.1x+0.05y=1[/tex]

Points of the first equation

[tex](0,15)[/tex] and [tex](15,0)[/tex]

Graph the points and draw a line through them.

Points of the second equation

[tex]x=0[/tex]

[tex]y=\dfrac{1}{0.05}=20[/tex]

[tex]y=0[/tex]

[tex]x=\dfrac{1}{0.1}=10[/tex]

[tex](0,20)[/tex] and [tex](10,0)[/tex]

Graph the points and draw a line through them.

The shaded regions can be determined by substituting the point in the equations.

One of the solutions is [tex](5,10)[/tex]

This means there are 5 dimes and 10 nickels.

[tex]5+10=15\geq 15[/tex]

[tex]0.1\times 5+0.05\times 10=1\leq 1[/tex]

Hence, one of the solutions is [tex](5,10)[/tex].

Learn more:

https://brainly.com/question/15748955

https://brainly.com/question/23511411

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.

The false statements are:

The product pq is irrational.

The quotient pq is irrational.

The quotient st is rational.

A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.

Examples of rational numbers are: 6, 2,3

Examples of irrational numbers are: √2, √3

Let p and q be represented with 2 and 6 respectively.

The product of 2 and 3 = 2 x 6 = . The number is a rational number

Let p and t be represented with 2 and √2 respectively.

The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational

The quotient of pq = 6 /2 = 3.

The quotient is rational.

Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.

The quotient of s and t = √2 /√3.

The number is irrational.

To learn more about rational numbers, please check: https://brainly.com/question/15815501?referrer=searchResults

Answer:

36V²+84V+49

Step-by-step explanation:

since it is (7+6V) in two places,therefore

7(7+6v)+6v(7+6v)

49+42v+42v+36v²

36v²+84v+49

9514 1404 393

Answer:

  x = -1/2

Step-by-step explanation:

Anything raised to the power of 0 is 1.

  (1/2)^(2x+1) = 1 = (1/2)^0

Equating exponents gives ...

  2x +1 = 0

  2x = -1 . . . . subtract 1

  x = -1/2 . . . divide by 2

Answer:

Step-by-step explanation:

20x+85=

20(6)+85=

120+85= $205

I would say -2

Step-by-step explanation:

Answer:

Line 1 = Negative

Line 2 = Zero

Line 3 = Positive

Line 4 = Undefined

Step-by-step explanation:

Line 1's gradient is negative since it's sloping down.

Line 2's gradient stays at 0 since it does not go upwards or downwards.

Line 3's gradient is positive since it's tilting upwards.

Line 4's gradient is undefined since the line shoots up on the same point on the x-axis so the gradient cannot be determined by a single rational number.

Answer:

Down there! Idk if it was what your looking for but this is what I got..

Step-by-step explanation:

(-∞,∞)

Step-by-step explanation:

PART A:

given

This is true for all values of x.

So,x∈-∞,+∞

PART B:

When ,left hand side=

right hand side=

so,left hand side =right hand side

When ,left hand side=

right hand side=

so,left hand side =right hand side

When ,left hand side=

right hand side=

so,left hand side =right hand side

Answer:

5+4-12=4-7   9-12=4-7   -3= -3

5+0-12=0-7   5-12=0-7   -7= -7

5+5-12=5-7   10-12=5-7  -2= -2

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

The expression that expresses her purchasing restrictions is:

13c + 10d = 150.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases.

Let "c" be the CDs she bought

and "d" be the albums she downloads

Price of total CD = 13c

price of total download = 10d

Thus, an equation that satisfies the situation:

13c + 10d = 150

therefore, Her purchasing limitations are expressed in the following way:

13c + 10d = 150.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ3

Answer:

x = 80

Step-by-step explanation:

x + 30 = 110 (opposite sides are congruent/equal)

x = 110 - 30 (subtract the 30 from both sides to get X by itself)

x = 80 (simplify)