Given that line t and line g are parallel and that m<2=105 and m<15=95 select the angle measure for each angle named.

Given:

The explicit formula of a sequence is

[tex]f(n)=-9.2-2.5(n-1)[/tex]

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

[tex]f(n)=-9.2-2.5(n-1)[/tex]

For n=3,

[tex]f(3)=-9.2-2.5(3-1)[/tex]

[tex]f(3)=-9.2-2.5(2)[/tex]

[tex]f(3)=-9.2-5[/tex]

[tex]f(3)=-14.2[/tex]

For n=5,

[tex]f(5)=-9.2-2.5(5-1)[/tex]

[tex]f(5)=-9.2-2.5(4)[/tex]

[tex]f(5)=-9.2-10[/tex]

[tex]f(5)=-19.2[/tex]

For n=7,

[tex]f(7)=-9.2-2.5(7-1)[/tex]

[tex]f(7)=-9.2-2.5(6)[/tex]

[tex]f(7)=-9.2-15[/tex]

[tex]f(7)=-24.2[/tex]

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.

Answer:

hi

Step-by-step explanation:

0

.

3

−

2

.

4

=

1

.

2

5

0.3x-2.4=1.25x

0.3x−2.4=1.25x

3

1

0

−

2

.

4

=

1

.

2

5

Answer:

x = -2.52631578

Step-by-step explanation:

Combine multiplied terms into a single fraction.

0.3x - 2.4 = 12.5x

3x/10 - 2.4= 1.25x

Again, combine multiplied terms into a single fraction.

3x/10 - 2.4= 1.25x

3x/10 - 2.4 = 5x/4

Add 2.4  to both sides of the equation

3x/10 - 2.4 = 5x/4

3x/10 - 2.4 + 2.4 = 5x/4 + 2.4

Simplify (Add the numbers)

3x/10 = 5x/4  + 2.4

Multiply all terms by the same value to eliminate fraction denominators.

3x/10 = 5x/4  + 2.4

2  x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)

Therefor, x = 2.52631578

Hope this helps, have a great day! :)

Answer:

the slope is 3/2

Step-by-step explanation:

(x1,y1)= (2,7)

(x2,y2)= (4,10)

slope=

[tex] \frac{y2 - y1}{x2 - x1} = \frac{10 - 7}{4 - 2} = \frac{3}{2} [/tex]

Answer:

Hey josh I am queen this is my new account hope u r ok and safe please why don’t u talk to me please josh

Step-by-step explanation:

I still love you josh I love you more then anything u will be in heart forever even tho u love country girl but I don’t care

I swear I am crying right now

Answer:

Step-by-step explanation:

5x−2y=18

5(0)−2y=18

-2y=18

y=-9

5x−2(0)=18

5x+0=18

5x=18

x=18/5

Answer:

Δ JKL is similar to Δ ABC ⇒ D

Step-by-step explanation:

Similar triangles have equal angles in measures

In ΔABC

∵ m∠A = 15°

∵ m∠B = 120

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠B + m∠C = 180°

→ Substitute the measures of ∠A and ∠B

∵ 15 + 120 + m∠C = 180

→ Add the like terms in the left side

∴ 135 + m∠C = 180

→ Subtract 135 from both sides

∴ 135 - 135 + m∠C = 180 - 135

∴ m∠C = 45°

The similar Δ to ΔABC must have the same measures of angles

If triangles ABC and JKL are similar, then

m∠A must equal m∠J

m∠B must equal m∠K

m∠C must equal m∠L

∵ m∠J = 15°

∴ m∠A = m∠J

∵ m∠L = 45°

∴ m∠C = m∠L

∵ m∠J + m∠K + m∠L = 180°

→ Substitute the measures of ∠J and ∠L

∵ 15 + m∠K + 45 = 180

→ Add the like terms in the left side

∴ 60 + m∠K = 180

→ Subtract 60 from both sides

∴ 60 - 60 + m∠K = 180 - 60

∴ m∠K = 120°

∴ m∠B = m∠K

∴ Δ JKL is similar to Δ ABC

Answer:

need my points

Step-by-step explanation:

Answer: y = 3x + 2

Step-by-step explanation: Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

Answer:

$10 each

Step-by-step explanation:

There are four friends

Friend 1 = $15

Friend 2 = $20

Friend 3 = $40

Friend 4 = unknown

NOTE;

You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend

The four friends decide to split their earnings equally among themselves

how much will the friend who earned $40 give to the others?

Amount given to others = $40 / 4

= $10

The friend who earned $40 will give $10 each to the others

Answer:

m=r-4/3

Step-by-step explanation:

Put 4/3 on the other side of the equals sign and change the sign

Hope this helped, Have a Great Day!!

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]m + \frac{4}{3} = r \\ [/tex]

Subtract sides - 4 / 3

[tex]m + \frac{4}{3} - \frac{4}{3} = r - \frac{4}{3} \\ [/tex]

[tex]m = r - \frac{4}{3} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

It is -2/3

Step-by-step explanation:

Answer:

I think it's 12

Step-by-step explanation: i'm sorry if you got it wrong  have the same question to.... sorry

Answer:

it is 12

Step-by-step explanation:

Answer:

Zero slope

Step-by-step explanation:

the line is horizontal on the y axis, so it has a zero slope

and because

i aint never seen two pretty best friends, its always one of em gotta be ugly

why all caps ? ;) ....

Answer:

1. (c)

2. (c)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

2x + 4 = 6(1/2×)

2x + 4 = 3x

-2x on oth sides

4=×

x is 4

Answer:

The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) A group of hikers walks 3 miles east and then 1 mile north:

[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]

(ii) After taking a break, they then hike 4 miles east to their final destination:

[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex]  (1)

[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]

[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]

The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].

Answer:

The ratio of the orange juice to the raspberry juice is 1 to 1.

The ratio of the entire punch bowl to soda is 4 to 2.

Answer:

y = -6/3x + 8

Step-by-step explanation:

Answer:

Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.

Step-by-step explanation:

Answer:4.48

Step-by-step explanation:

Cuz I sed so. (70% chance of being wrong, so just use 4.48099829836)

Answer:

um how do i know what belongs on x side and Y side

Step-by-step explanation:

need a picture

Answer:

1, 2

Step-by-step explanation:

An easy way to find the solution to a system of linear equations is to just replace it with x and y.

1, 2

1+2=3(x+y+3)

2+10=12(2x+5y=12)

Answer:

(1,2)

it's correct answer....be sure it's correct