Do the ratios 4:12 and 5:15 form a proportion

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.

yes you did mistake there

Answer:

2x+11

Step-by-step explanation:

3+2(x+4)

3+2x+8

2x+11

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

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:

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

Answer:

72°

Step-by-step explanation:

The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.

Answer:

353 miles

Step-by-step explanation:

58 x 5 = 290

290 + 63 = 353

Answer:

C

Step-by-step explanation:

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

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:

what diagram

Step-by-step explanation:

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:

attached above is the answer

Answer:

- 28     8

- 28    -6  

Step-by-step explanation          

Answer:

1) D

2) A

Step-by-step explanation:

I hope this helps.

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:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

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:

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:

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:

x = 29

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]

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.

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

Answer:A

Step-by-step explanation:

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:

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:

B

Step-by-step explanation: