Given m||n, find the value of x.
(10x-2)
(9x+5)°

(with picture)

Answer:

the answer is f(n)=14.5−1.4n

Step-by-step explanation:

Hope this helps

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d

The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....

Here, a=14.5 and d=14.5-13.1=1.4

Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get

f(n)=14.5+1.4(n-1)

The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.

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Answer

The corresponding angles of the triangles are congruent

The image is a reduction of the pre-image

Neither the dilation nor the rotation change the shape of the triangle

Explanation:

For shapes to be similar:

1- there should be a ratio between the sides

2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

Options 2, 4 and 5 are the correct answer.

Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:

1- The corresponding sides of the triangles are congruent:

This option is incorrect as dilation changes the lengths of the sides.

2- The corresponding angles of the triangles are congruent:

This option is correct as neither dilation nor rotation alters the measures of the angles.

3- The corresponding sides of the image are 5 times as long as those of the pre-image:

This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.

4- The image is a reduction of the pre-image:

This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.

5- Neither the dilation nor the rotation change the shape of the triangle:

This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).

6- The rotation reduces the size of the triangle:

This option is incorrect as rotation does not alter the size of the shape. It only changes its position.

Therefore, options 2, 4 and 5 are the correct answer.

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Answer:

The Equation to find the smallest integer =

4x + 6 = 170

The smallest integer = First integer = x = 41

Step-by-step explanation:

Four consecutive integers is represented by:

First Integer = x

Second Integer = x + 1

Third Integer = x + 2

Fourth Integer = x + 3

The sum of four consecutive integers is 170.

x + x + 1 + x + 2 + x + 3 = 170

The Equation to find the smallest integer =

4x + 6 = 170

4x = 170 - 6

4x = 164

x = 164/4

x = 41

Therefore:

The Equation to find the smallest integer =

4x + 6 = 170

The smallest integer = First integer = x = 41

Answer:

0.16

Step-by-step explanation:

Answer:

-8x-28 is after the distributive prop simplified

Step-by-step explanation:

4(-2x-7)

(4×-2x)-(4×-7)= -8x-28

Answer:

Sure thing. Which question do you need help with? ill do the best i can.

9514 1404 393

Answer:

  24.5 kJ

Step-by-step explanation:

Kinetic energy is given by the formula ...

  KE = 1/2mv² . . . . . where m = mass

The gazelle's kinetic energy is ...

  KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters

  = 24,500 J . . . . . . 1 J = 1 kg·m²/s²

  = 24.5 kJ . . . . . . . 1000 J = 1 kJ

Answer:

the answer is 24.1 MM

Step-by-step explanation:

Answer:

approx. 24.1 mm squared (when rounded to the nearest 10th)

Step-by-step explanation:

Surface area of cylinder = 2πr(h+r)

plug in what we know

2π*1.2(2+1.2)

solve

approx. 24.1 mm squared

Answer:

(2,2)

Step-by-step explanation:

The answer is where the two lines intersect.

Answer:

the answer is probably 2,2, not sure tho.

Answer:

B

Volume of cylinder is [tex]\pi r^2*h[/tex]

Answer:$60

Step-by-step explanation:

Answer:

Ok its A= x +4 because that its lower than the other one so since its lower it will be better

Given :

Price per pound of peanuts is, P = $3.38 .

Derek buys a sack of peanuts for $15.82.

To Find :

The weight of the peanuts that are in the sack.

Solution :

Let, weight of peanuts that are in the sack are x.

So, [tex]x = \dfrac{15.82}{3.38}\\\\x = 4.68\ pounds[/tex]

Therefore, number of pounds in the sack is 4.68 pounds.

Answer:

Gianna spent 21% more

Step-by-step explanation:

30-9=21

Answer:

hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120

Step-by-step explanation:

Answer:x=1/108 is your answer

-5/6x-1/9x=-102

1/x(-5/6-1/9)=-102

1/x=-102/(-17/18)=-102×-18/17=108

x=1/108

Answer:

X= 108 100%

Step-by-step explanation:

can you answer my history question its worth 50 points

Answer:

42.86%

Step-by-step explanation:

Rate of change = (change in amount saved / amount first saved) x 100

change in amount saved = $20 - $14 = $6

($6/$14) x 100 = 0.428571 = 42.86%

Answer:

$20

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

yes the answer is 11 minutes

Answer:

x=7

Step-by-step explanation:

expand -2(2x-3): -4x+6

expand 4-(3x-5): -3x-1

it's now -4x+6=-3x-1

subtract 6 from both sides

-4x+6-6=-3x-1-6

simplify

-4x=-3x-7

add 3x to both sides

-4x+3x=-3x-7+3x

simplify

-x=-7

divide both sides by -1

[tex]\frac{-x}{-1}[/tex]=\ [tex]\frac{-7}{-1}[/tex]

simplify

x=7

sorry for the lengthy explanation hope this helps :) have a nice day !!

Answer:

Step-by-step explanation:

-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y

= -8x³⁺⁵y² + 32x³y²⁺¹

= -8x⁸y² + 32x³y³

Answer:

7

Step-by-step explanation:

a squared + b squared = c squared

plug it in to get

4 root 2 squared +b squared = 9 squared

(4 root 2)(4 root 2)=32

and 9 squared is 81

so the equation is

32+b squared = 81

subtract 32

b squared = 49

square root both sides

b=7

The length of the  missing side is [tex]3\sqrt{5}[/tex]

The square of the hypotenuse is equal to the sum of the square of the other two sides

From the given diagram;

Get the unknown side "x"

[tex]81 = 32 + x^2\\x^2 = 81 - 36\\x^2 = 45\\x = 3\sqrt{5}[/tex]

Hence the length of the  missing side is [tex]3\sqrt{5}[/tex]

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

$87.5 was invested

Step-by-step explanation:

10.5 is 12% of 87.5, so if the money was in the bank for 2 years, we would have to do 10.5*2 which is 21, and that's how much money was gained from the investment.

Answer:

Step-by-step explanation:

See the steps

Answer:

x=5

x=−5

Step-by-step explanation:

5x^2+8 =133

Subtract 8 from both sides.

5x^2=133−8

Subtract 8 from 133 to get 125.

5x^2=125

Divide both sides by 5.

x^2=125/5

Divide 125 by 5 to get 25.

x^2=25

Take the square root of both sides of the equation.

x=5

x=−5

Answer:

slope = [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]

Thus, the slope is [tex]-\frac{1}{3}[/tex].