solve the following equation​

Answer:

Yes, They are similar by SSS PMK similar to LMQ.

Step-by-step explanation:

Similar triangles corresponding side lengths are in a proportion.

KM corresponds with MQ

PM corresponds with LM.

Set up this proportion.

[tex] \frac{km}{pm} = \frac{lm}{mq} [/tex]

[tex] \frac{15}{28} = \frac{21}{39.2} [/tex]

Cross multiply

[tex]588 = 588[/tex]

So the triangles ARE Similar.

9514 1404 393

Answer:

  B

Step-by-step explanation:

When solving multiple choice problems, a reasonable strategy is to look for ways to identify one answer as good, or other answers as bad.

Here, all of the constant vectors in the equations are different, so we can decide the answer based on that.

The only equation with the correct constant vector is choice B.

_____

The constants in the equations are -4, 1, 9 — the values to the right of the equal sign.

Answer:

93%.

Step-by-step explanation:

% Decrease = Decrease ÷ Original Number × 100

Divde 11,625 by 12,500 and multiply the answer by 100.

11,625 ÷ 12,500 × 100 = 93  

The percentage reduction is 93%.

Answer: [tex]16x^{2} - 26xy - 12y^{2}[/tex]

Answer:

D. 63

Step-by-step explanation:

First, add 6 to both sides:

[tex]\frac{x}{7}[/tex] - 6 = 3

[tex]\frac{x}{7}[/tex] = 9

Multiply each side by 7

x = 63

So, the correct answer is D. 63

Simplify 6⋅ (x+3)

Apply the distributive property.

6x+6⋅3=x⋅76x+6⋅3=x⋅7

Multiply 66 by 33.

6x+18=x⋅76x+18=x⋅7

Move 77 to the left of xx.

6x+18=7x

Move all terms containing x to the left side of the equation.

subtract 7x7x from both sides of the equation.

6x+18−7x=06x+18-7x=0

Subtract 7x7x from 6x6x.

−x+18=0-x+18=0

Subtract 1818 from both sides of the equation.

−x=−18-x=-18

Multiply each term in −x=−18-x=-18 by −1

Multiply −1-1 by −1-1.

1x=(−18)⋅−11x=(-18)⋅-1

Multiply xx by 11.

x=(−18)⋅−1x=(-18)⋅-1

Multiply−18-18 by −1-1.

x=18

Answer:

28

Step-by-step explanation:

I'm not sure if this is right

She rode 7 miles in 2 hours, so because she is going at the same speed you times/multiply 7 x 4 in order to determine the miles. I timed it by 4 because 2 hours times 4 = 8 hours.

Hope that helped because I believe it is right :)

Answer:

36

Step-by-step explanation:

b is 3x bigger then a and c but all add to 180

so 108 is b you have 72 left 72/2 for and c is 36

Answer:

The 3mm

Step-by-step explanation:

Answer:

3m is the height or altitude.

Step-by-step explanation:

y = 6x-11

substitute y into 2x+3y=7

2x+3(6x-11)=7

2x + 18x-33 = 7

20 x = 7+33

x = 2

y?

y= 6(2)-11

y = 12-11 = 1

so, x = 2 and y = 1

Answer:

21.42g 21420mg

Step-by-step explanation:

2.142x10=21.42g

2.142x10000=21420mg

Answer:

[tex]\displaystyle 5[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{32}{39}} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

OR

[tex]\displaystyle \boxed{y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{25}{39}} \hookrightarrow \frac{-\pi}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5cos\:\frac{39}{64}\pi{x} + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between both photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle \frac{32}{39}\:unit[/tex]to the right, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{32}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you get [tex]\displaystyle \boxed{-\frac{32}{39}} = \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1.[/tex]Intermediate, we have two sine graphs [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5sin\:\frac{39}{64}\pi{x} + 1.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle 1\frac{25}{39}\:unit[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle 1\frac{25}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{25}{39}} = \frac{-\pi}{\frac{39}{64}\pi}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-6\frac{22}{39}, 1],[/tex]from there to [tex]\displaystyle [-3\frac{11}{39}, 1],[/tex]they are obviously [tex]\displaystyle 3\frac{11}{39}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\frac{11}{39}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and in case you want to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended five units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. So, overall, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Y intercept is (0,50) or b=50

Answer:

51.75- 15= 36.75

36.75/3= 12.25 per ticket

Answer:

51.75 - 15 / 3

Step-by-step explanation:

$15 for a bucket of popcorn is separate from the tickets, so you subtract that from the sum.

Then you should have 36.75.

36.75 / 3 = 12.25

I hope this helped!

Stay safe! <3

Answer:

B. 196πx² + 392πx + 196π

Step-by-step explanation:

Total surface area of a sphere = 4πr²

Radius, r = 7x + 7

Total surface area of a sphere = 4πr²

= 4 * π * (7x + 7)²

= 4π * (7x + 7) * (7x + 7)

= 4π * 49x² + 49x + 49x + 49

= 4π * (49x² + 98x + 49)

= 196πx² + 392πx + 196π

B. 196πx² + 392πx + 196π

Answer: To find the point P that divides a segment AB into a particular ratio, determine the ratio k by writing the numerator over the sum of the numerator and the denominator of the given ratio. Next, find the rise and the run (slope) of the line. Finally, add (k. the run) to the x-coordinate of A and add (k.

Step-by-step explanation: Hope this helps :)

Answer:

19.47

Step-by-step explanation:

I plugged it into a right triangle trig calculator

Answer:

HERE ARE SOME NOTES ON HOW TO DO these types of geo- problems and some more ! SORRY .

See attachment below!

Step-by-step explanation:

If your in High school Geometry, I could help with that and more!

If your someone who likes to have Notes.. I could send you some PDF's and more for Geometry!!  I took Geometry and have good notes!

Answer:

√{2545×2545}=√2545²=±2545

Answer:

1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The chance the coin will show 'tails' is 1/2, since there are only 2 sides to a coin. The chance that the die will show an even number is also 1/2, since half of the numbers on a die are even, and half are odd. But, since both of these events depend on each other, or in other words, are dependent, we have to multiply both numbers. 1/2 x 1/2 = 1/4, therefore your answer is A.

Answer:

y=2/7x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=2/7x+0

y=2/7x

Answer:

2.814

Step-by-step explanation:

Answer:

14802

Step-by-step explanation:

Answer:

x=[tex]-3+\frac{1}{2}\sqrt{2}[/tex]  

x=[tex]-3+\frac{-1}{2} \sqrt{2}[/tex]

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

Answer:

0.25 meters is the same as A. 25 centimeters

Explanation:

multiply the length value (0.25) by 100 to get to cm from m

hope this helps chu <3

Answer:

B

Step-by-step explanation:

To determine which point lies on the line, substitute the x- coordinate of the point into the equation and if the value equals the y- coordinate of the point then it lies on the line.

A (4, 8)

y = - 3(4) + 4 = - 12 + 4 = - 8 ≠ 8 ← not on line

B (4, - 8 )

y = - 3(4) + 4 = - 12 + 4 = - 8 ← lies on line

C (- 4, 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ 8 ← not on line

D (- 4, - 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ - 8 ← not on line

The point lying on the line is (4, - 8 ) → B

Answer:

150℅

Step-by-step explanation:

3/2×100/1

2 in 100=50

so50×3=150℅