Write an equation of the line in slope-intercept form.



The equation is y=
.

Step-by-step explanation:

There are two attachments to this post. The first attachment shows the numbered angles formed through the intersection of the transversal, t, into the parallel lines, m and n, which will be used to determine how each angle relates to other angles.

The corresponding angles in the first attachment are:

∠1 and  ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

Corresponding angles have the same measure.

The same-side exterior angles are the pair of angles that are outside the parallel lines, and on the same side of the transversal.  In the first attachment, the same-side exterior angles are:

∠1  and ∠8

∠2 and ∠7

These angles are supplements of each other, meaning that the sum of their measure equal 180°.

Given parallel lines, m and n that are cut by a transversal, t.

The angle that has a measure of  ∠(10x + 5)° is a supplement of ∠(5x + 25)°.  In order to solve for the value of x, we must establish the following equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10x° + 5° + 5x° + 25° = 180°

Combine like terms:

15x° + 30° = 180°

Subtract 30 from both sides:

15x° + 30° - 30° = 180° - 30°

15x° =  150°

Divide both sides by 15:

15x°/15 = 150°/15

x = 10°

Verify whether we have correct value for x by substituting its value into the established equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10(10)° + 5° + 5(10)° + 25° = 180°

100° + 5° + 50° + 25° = 180°

180° = 180° (True statement).

Therefore, we have the correct value for x = 10°.

m∠(10x + 5)°  = 105°

m∠(5x + 25)° = 75°

Answer:

it is correct but -65 is not correct

Answer:

2.67 is the answer

Step-by-step explanation:

tell me if i am rong

Step-by-step explanation:

y = -5x/8 + 6

8y = 8 × (-5x/8 + 6)

8y = -5x + 42

5x + 8y = 42

5x + 8y = K, k element real

Option → D

The equation for parallel line is 5x + 8y = 32.

The correct option is (D).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Equation: y = -5/8x + 6

Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.

Then, writing the equation in slope intercept form

A) 8x + 5y = 10

5y= 10 - 8x

y= 10/5 - 8x/5

y= -8/5x + 2

B) 8x - 5y = 15

-5y= 15 - 8x

y= 8/5 x + 3

C) 8y - 5x = -24

8y= -24 + 5x

y= -24/8 +5/8x

y= +5/8x - 3

D) 5x + 8y = 32

8y= 32 -5x

y= -5/8x + 4

Hence, the equation for parallel line is 5x + 8y = 32.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

it is 1 cm because semi means half

Answer:

k = 2 cm

Step-by-step explanation:

3 x 15 x k = 90 cm^3

45 x k = 90 cm^3

k = 90/45 = 2 cm

Answer:

3000

Step-by-step explanation:

JK=JH

[tex]\\ \sf\longmapsto 10t=7t+15[/tex]

[tex]\\ \sf\longmapsto 10t-7t=15[/tex]

[tex]\\ \sf\longmapsto 3t=15[/tex]

[tex]\\ \sf\longmapsto t=15/3=5[/tex]

Answer: -3+x<2

Step-by-step explanation: can't be greater than 2.

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

It is 112 calories per cup of cereal.

Step-by-step explanation:

multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.

Answer:

I pretty sure it is F.1cm

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

Answer:

ax^2+bx=x(ax+b)

Please mark as brainliest

Step-by-step explanation:

Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right

Step-by-step explanation:

According to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Since Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation, and he has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place, to determine if it will be possible to climb a 950-foot rock formation within Jeremy's time constraint, the following calculation must be performed, through cross multiplication, to obtain the average rise time:

Therefore, according to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Learn more in https://brainly.com/question/24057012

Answer:

.....

Step-by-step explanation:

Answer:

i thig it is hj

Step-by-step explanation:

jk

Answer:

Option A: (It's just that the y-intercept and slope are in different spots.)

Line in (y=mx+b) form is y = 2x + 4

Slooe is 2

y-intercept is 4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.

By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.

Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.

Hope this helps :)

Answer:

They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!

Have a great day!

Brainliest please :)

Answer:

1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k

Step-by-step explanation:

The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation.  Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.  

For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.

x² + 6x + 8 = 0

where a = 1, b = 6, and c = 8:

In order to find the factors of the given quadratic equation, we must find the  factors with a product ac, and sum b.  

Using 2 and 4 as possible factors produce a product that is equal to

product of ac:   2 × 4 = 8

sum of b:           2 + 4 = 6.

Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:

(x + 2) (x + 4).

Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.  

Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.

(x + 2) (x + 4)

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

x + 4 = 0

x + 4 - 4 = 0 - 4

x = -4

Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.

y=3x+6.

y=3x-5

I did it with a parallel line

Answer : Quadrilateral

Answer:

\frac{-2x^2+2}{x^4+2x^2+1}

2x^2+2

-------------

x^4+2x^2+1

Answer:

my gosh, hirap kaya niyan, pareho lang ta u d alam sagot

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

Item 1:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

A similar problem is given at https://brainly.com/question/24507395

Answer: y=(1/5)m+3

Step-by-step explanation:

Start with the standard form of an equation of a straight line:  y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

We know b (3), so:

y=mx + 3

To find the slope, m, we can use the one given point, (5,4):

y=mx + 3 for (5,4) would be:

4 = m*5+3

1 = 5m

m = (1/5)

y=(1/5)m+3