What is the slope of the line

Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°

∠2 = ∠4 = ∠6 = ∠8 = 102.5°

Step-by-step explanation:

In the picture attached, the parallel lines and the transversal are shown.

8 angles are formed, where:

∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8

On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:

∠1 + ∠1 + 25° = 180°

2∠1 = 180° - 25°

∠1 = 155°/2

∠1 = 77.5°

and

∠2 = 77.5° + 25° = 102.5°

Answer:

<1=<5

<4=<8

<2=<6

<3=<7[these all are corresponding angle]

<1=<3

<4=<2

<8=<6

<5=<7 [these all are vertically opposite angle]

let<1=70°

than

<1=<5=<7=<3=77°

again

<1+<2=180°[linear pair]

<2=180°-72=98°

Than

<2=<6=<4=<8=98°

b One angle is 25° greater than another.

let <1=x than <2=<x+25°

<1+<2=180°[linear pair]

x+x+25=180°

2x=180-25

x=155.2

x=77.5°

x+25=77.5°+25°=102.5°

either

<1=<5=<7=<3=77°

<2=<6=<4=<8=102.5°

Or

<1=<5=<7=<3=102.5°

<1=<5=<7=<3=102.5°<2=<6=<4=<8=77°

Given:

A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].

To find:

The point slope form of the given line.

Solution:

If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is

[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]

[tex]y+6=\dfrac{1}{3}(x+2)[/tex]

Therefore, the correct option is A.

Answer:

XZ = 14

Step-by-step explanation:

x+2 = 2x-3

-1x from both sides

2 = x - 3

+3 to both sides

5 = x

(plug in x for XM and MZ equations)

(5 + 2) + ((2×5) - 3)

7 + 7 = 14

The numerical length of XZ = 14

We have a Line Segment XZ such that M is mid - point of XZ.

We have to determine the length of XZ.

The mid - point of a line segment is a point on a line that divides it into two equal parts.

According to question, we have -

XM = x + 2

MZ = 2x - 3

Since, M is the mid - point of XZ, therefore -

XM = MZ

x + 2 = 2x - 3

2 + 3 = 2x - x

x = 5

Now -

XZ = XM + MZ

XZ = x + 2 + 2x - 3

XZ = 5 + 2 + 10 - 3

XZ = 14

Hence, the numerical length of XZ = 14.

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Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

Let us use the information above to solve the question

∵ f(x) = [tex]1.5^{x}[/tex]

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

∴ f(x) is not a quadratic function

∵ g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

∴ g(x) is a quadratic function

Answer:

The answer is below

Step-by-step explanation:

Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce

Solution:

a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.

x = 2/5(w - 10)             (1)

y = (3(w + 3) - 4)/4

y = (3w + 5) / 4            (2)

z = 2(w + 7)/3              (3)

b) Given that w = 125 eggs:

x = 2/5(125 - 10) = 46 eggs

y = (3(125) + 5) / 4 = 95 eggs        

z = 2(125 + 7)/3 = 88 eggs

c) x + y = z + 24.

i.e.  2/5(w - 10)  + (3w + 5)/ 4  = 2(w + 7)/3  + 24

multiply through by 60:

24w - 240 + 45w + 75 = 40w + 280 + 1440

69w - 165 = 40w + 1580

29w = 1885

w = 65 eggs

x = 2/5(65 - 10) = 22 eggs

y = (3(65) + 5) / 4 = 50 eggs        

z = 2(65 + 7)/3 = 48 eggs

Step-by-step explanation:

12:56pm to 1:00pm = 4 min

1:00pm to 2:00pm = 1 hour

2:00pm to 2:33pm = 33 min

Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.

Answer:

x = 35, ∠ BDE = 130°

Step-by-step explanation:

(4x - 10) and (x + 95) are corresponding angles and are congruent, then

4x - 10 = x + 95 ( subtract x from both sides )

3x - 10 = 95 ( add 10 to both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°

Answer:-5

Step-by-step explanation:

2x-10=4x

-10=2x (subtract 2x from both sides)

-10/2=x (divide both sides by 2)

-5=x

Answer:

p = [tex]\frac{c+2}{3}[/tex]

Step-by-step explanation:

Given

3p + 12 = c + 14 ( subtract 12 from both sides )

3p = c + 2 ( divide both sides by 3 )

p = [tex]\frac{c+2}{3}[/tex]

Answer:

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

Step-by-step explanation:

The coordinates of the A are A(-1, 3)

The coordinates of the corresponding point on B is (-1, 1)

Therefore, given that the x-coordinates of the pre-image A and the image B are the same, therefore, we have that image B is a reflection of image A

Also half the vertical distance between figure A and B = (3 - 1)/2 = 1

Therefore, figure A is obtained from figure B by reflection across a horizontal line, 1 unit below the lowest y-coordinate of figure A which is the line y = 3 - 1 = 2

Therefore, we have;

The single transformation that maps shape A onto shape B is a reflection across the line y = 2

Answer:

An algebraic expression that contains variables is called coefficients.

Is this the equation ur supposed to solve because the question was a little bit messy

[tex] \frac{ - 75x}{4} > \frac{14}{2} [/tex]

Answer

Answer: girl- 19yr old  mom- 38yr old dad- 43 yr old

Step-by-step explanation:

5x+5=100

5x-5=100-5

5/5x=95/5

x=19

2(19)=38

38+5=43

Answer:

The unicycle will travel 351.68 inches in 7 revolutions

Step-by-step explanation:

The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where

∵ A unicycle wheel has a diameter of 16 inches

∴ d = 16 inches

∵ The unicycle will travel 7 revolutions

∴ n = 7

→ Substitute them in the rule of the distance above

∵ D = π(16)(7)

∵ π = 3.14

∴ D = 3.14(16)(7)

∴ D = 351.68 inches

→ No need to round it, it is in the hundredth of an inch

∴ The unicycle will travel 351.68 inches in 7 revolutions

Answer:

30.8

Step-by-step explanation:

1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.

2. Set the ratios equal to each other.

14/10 = x/22

3. Cross multiply and solve for x.

14 x 22 = 308

10 x x = 10x

4. Divide by 10

x = 30.8

Answer:

30.8cm they are correct

Step-by-step explanation:

i am from connexus 8th grd pre algrabra

unit 5 lesson 3

1. 1:2

2. C. yes they are similar they have porportional side lengths and = ange measures

3. x = 4.5m

4. x = 30.8cm

5. x = 6 m

Answer:

181

Step-by-step explanation:

Answer:

21=

31=

41=

51=

S17=

Answer:

left to right

Step-by-step explanation:

Answer:

the slope is 0

Step-by-step explanation:

i know this because i asked a math teacher

Answer:

4Inx−5In

Step-by-step explanation:

Mark me Brainiest?

Answer:60hours

Step-by-step explanation:

465/155×4

=60 hours

Answer:

9

Step-by-step explanation:

the expression is 2ac, so multiply everything together

2 * 1/2 = 1

1 * 9 = 9

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Answer:

The Right Answer is  X=10

a computer programer is making 12,100 more dollars than the technichan.

Answer:

X will be = to 6°

Cause the lengths is 6

so 6 ×6° = 36°

I hope am wrong

Answer:

D, or the bottom right.

Step-by-step explanation:

The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.

The straight scatter plots denote linear relationships.

The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.

The scatter plot parallel to x axis, denotes constant values of y at various levels of x.

The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.

To learn more, refer https://brainly.com/question/21839842?referrer=searchResults

Answer: 3/10

Step-by-step explanation: 1/2 x 3/10 = 3/20 and we can’t simplify that.

Answer:

The simplest form of 1/2 x 3/10 would be 3/20

If you need it in decimal form it's: 0.15

Answer:

CF = 16

Step-by-step explanation:

One if the properties of a parallelogram is that the diagonals of a parallelogram bisect each other. This implies that:

CF = ½ of CE

Since CE is given as 32, therefore:

CF = ½ of 32

CF = 16