what is the slope of a line that is parellel to y=3x+5?

Answer:

[tex]x=6,\\m\angle 1=18^{\circ}[/tex]

Step-by-step explanation:

Since the problem denotes the figure as a parallelogram, [tex]\overline{AB}[/tex] is parallel to [tex]\overline{DC}[/tex]. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

[tex]m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}[/tex]

Substituting [tex]x=6[/tex]:

[tex]m\angle 1=x+12=6+12=\boxed{18^{\circ}}[/tex]

Answer:

Time = 8 weeks

Step-by-step explanation:

Given the following data;

Savings = $23

Savings made = $65

Cost of bike = $273

To find the amount required to purchase the bike;

Balance = cost of bike - savings made

Balance = 273 - 65

Balance = $208

Next, we find the number of weeks required to save $208 (balance).

Time = balance/savings

Time = 208/23

Time = 8 weeks

Answer:

B

Step-by-step explanation:

Answer:

attached above is the answer

Answer:

- 28     8

- 28    -6  

Step-by-step explanation          

Answer:

p = 6

Step-by-step explanation:

4 + 2p = 10( (3/5)p - 2 )

Distribute the 10

4 + 2p = 6p - 20

Subtract 4 from both sides

2p = 6p - 24

Subtract 6p from both sides

-4p = -24

Divide both sides by -4

p = 6

Answer:

[tex]a=\frac{3}{4}[/tex]

Step-by-step explanation:

I can't do the step-by-step explanation because my device is currently dying, But I am sure that [tex]a=\frac{3}{4}[/tex] is the correct answer.

Answer:

a is 3/4

Step-by-step explanation:

2/3 x 3/4 = 1/2

1/2 - 1/6 = 1/3

Answer:

G- 1/5

Step-by-step explanation:

When doing probability questions, you want to take the amount of what you are looking for and put it over the total. In this case, the total amount of t-shirts would be 15. If we are looking for the sports t-shirts, the fraction would be 3/15, which then simplifies down to 1/5.

Hope this helps! :)

Answer:

G 1/5

Step-by-step explanation:

3/15 - > 1/5

The no.of sports t-shirts divided by the total t-shirts

Answer:

353 miles

Step-by-step explanation:

58 x 5 = 290

290 + 63 = 353

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

Answer:

x = 29

Step-by-step explanation:

yes you did mistake there

Answer:

2x+11

Step-by-step explanation:

3+2(x+4)

3+2x+8

2x+11

Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

Answer:

y=x^2 -5x+4

Step-by-step explanation:

F(x)= -x+1

G(x)-x+4

(-x+1)(-x+4) = x^2 -4x-1x+4 = x^2-5x+4

=======================================================

Explanation:

The f(x) function goes through (0,1) and (1,0). It's slope is

m = (y2-y1)/(x2-x1)

m = (0-1)/(1-0)

m = -1

The y intercept is b = 1 because this is where the blue line crosses the y axis.

We go from y = mx+b to y = -1x+1, or simply y = -x+1.

So f(x) = -x+1

Through similar steps, you should find that g(x) = -x+4

Both f(x) and g(x) have the same slope, which makes them parallel lines.

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

Once we know what f(x) and g(x) are, we multiply them out like so:

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( -x+1 ) * ( -x+4 )

f(x) * g(x) = w(-x+4) ..... let w = -x+1

f(x) * g(x) = -xw + 4w ... distribute

f(x) * g(x) = -x( w ) + 4( w )

f(x) * g(x) = -x( -x+1 ) + 4( -x+1 ) ... plug in w = -x+1

f(x) * g(x) = x^2 - x - 4x + 4 ... distribute twice more

f(x) * g(x) = x^2 - 5x + 4

You could use the FOIL rule or box method as alternative routes to get this answer. I prefer the box method because the FOIL rule is only limited to multiplying binomials, while the box method allows you to multiply two polynomials of any length.

Answer:

C

Step-by-step explanation:

hope this helps with the work don't know how I keep finding your questions

Answer:

false..................

Answer:

D. An angle measuring 470*

Step-by-step explanation:In this question

The coterminal angle for 110° is 470°.

"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".

For the given situation,

The angle is 110°.

The coterminal angles can be determined by adding or subtracting 360° to the given angle.

For 110° = [tex]360+110[/tex]

⇒ [tex]470[/tex]°

Hence we can conclude that the coterminal angle for 110° is 470°.

Learn more about coterminal here

https://brainly.com/question/2762868

#SPJ2

Answer:

8

Step-by-step explanation:

Usually we would have to use a formula to find the distance between the two points, however the x values of both coordinates are the same therefore we can find the distance between the two points by subtracting the smaller y value (-3 ) from the larger y value ( 5 )

Distance = 5 - ( - 3 )

* the two negative signs cancels out *

5 + 3 = 8

The distance between the two points is 8 units

Answer:

8

Step-by-step explanation:

[tex]\sqrt{(6-6)^{2}+(-3-5)^{2}}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8

Answer:

what diagram

Step-by-step explanation:

Answer:

"5.5129 g/cm³" is the appropriate solution.

Step-by-step explanation:

According to the question, the values are:

Iron's density,

= 7.874 g/cm³

Base edge length,

= 4 cm

Base edge width,

= 9 cm

Height,

= 5 cm

Mass,

= 425 g

As we know,

The Density of rectangular pyramid will be:

= [tex]\frac{Mass}{Volume}[/tex]

or,

= [tex]\frac{Mass}{Length\times Width\times height}[/tex]

On putting all the given values, we get

= [tex]\frac{425}{4\times 9\times 5}[/tex]

= [tex]\frac{425}{180}[/tex]

= [tex]2.3611 \ g/cm^3[/tex]

hence,

The difference will be:

= [tex]7.874-2.3611[/tex]

= [tex]5.5129 \ g/cm^3[/tex]

Answer:

hope this helps you look it once.

Answer:

x = 16, x = 17

Step-by-step explanation:

Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is

[tex]\frac{x+8}{20}[/tex] = [tex]\frac{2x-5}{22.5}[/tex] ( cross- multiply )

20(2x - 5) = 22.5(x + 8)

40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )

17.5x - 100 = 180 ( add 100 to both sides )

17.5x = 280 ( divide both sides by 17.5 )

x = 16

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

[tex]\frac{2x+8}{28}[/tex] = [tex]\frac{5x-4}{82-28}[/tex] = [tex]\frac{5x-4}{54}[/tex] ( cross- multiply )

28(5x - 4) = 54(2x + 8)

140x - 112 = 108x + 432 ( subtract 108x from both sides )

32x - 112 = 432 ( add 112 to both sides )

32x = 544 ( divide both sides by 32 )

x = 17

In the diagram, we can see that the angles are linear pair, which means they are of 180°. Now,

Supplementary angles are those which form an angle of 180° where as Complementary angles are those which form an angle of 90°. Certainly, the as it is a linear pair, they both are supplementary angles.

Now, we can say that:

= x + 118 = 180 ------------ [ Supplementary angles]

= x = 180 - 118

= x = 62

That's how the option B is correct.

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

(y-2) = -3(x-4)

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

Answer:

1) D

2) A

Step-by-step explanation:

I hope this helps.

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Answer:A

Step-by-step explanation: